1
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Liu P, Wang X, Teng F. Online teaching quality evaluation based on multi-granularity probabilistic linguistic term sets. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2021. [DOI: 10.3233/jifs-202543] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
In today’s education industry, online teaching is increasingly becoming an important teaching way, and it is necessary to evaluate the quality of online teaching so as to improve the overall level of the education industry. The online teaching quality evaluation is a typical multi-attribute group decision-making (MAGDM) problem, and its evaluation index can be expressed by linguistic term sets (LTSs) by decision makers (DMs). Especially, multi-granularity probabilistic linguistic term sets (MGPLTSs) produced from many DMs are more suitable to express complex fuzzy evaluation information, and they can not only provide different linguistic term set for different DMs the give their preferences, but also reflect the importance of each linguistic term. Based on the advantages of MGPLTSs, in this paper, we propose a transformation function of MGPLTSs based on proportional 2-tuple fuzzy linguistic representation model. On this basis, the operational laws and comparison rules of MGPLTSs are given. Then, we develop a new Choquet integral operator for MGPLTSs, which considers the relationship among attributes and does not need to consider the process of normalizing the probabilistic linguistic term sets (PLTSs), and can effectively avoid the loss of evaluation information. At the same time, the properties of the proposed operator are also proved. Furthermore, we propose a new MAGDM method based on the new operator, and analyze the effectiveness of the proposed method by online teaching quality evaluation. Finally, by comparing with some existing methods, the advantages of the proposed method are shown.
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Affiliation(s)
- Peide Liu
- School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, Shandong, China
| | - Xiyu Wang
- School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, Shandong, China
| | - Fei Teng
- School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, Shandong, China
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2
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On possible outputs of group decision making with interval uncertainties based on simulation techniques. Soft comput 2020. [DOI: 10.1007/s00500-019-04447-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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3
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Batool B, Ahmad M, Abdullah S, Ashraf S, Chinram R. Entropy Based Pythagorean Probabilistic Hesitant Fuzzy Decision Making Technique and Its Application for Fog-Haze Factor Assessment Problem. ENTROPY 2020; 22:e22030318. [PMID: 33286092 PMCID: PMC7516776 DOI: 10.3390/e22030318] [Citation(s) in RCA: 30] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/04/2020] [Revised: 03/03/2020] [Accepted: 03/05/2020] [Indexed: 11/16/2022]
Abstract
The Pythagorean probabilistic hesitant fuzzy set (PyPHFS) is an effective, generalized and powerful tool for expressing fuzzy information. It can cover more complex and more hesitant fuzzy evaluation information. Therefore, based on the advantages of PyPHFSs, this paper presents a new extended fuzzy TOPSIS method for dealing with uncertainty in the form of PyPHFS in real life problems. The paper is divided into three main parts. Firstly, the novel Pythagorean probabilistic hesitant fuzzy entropy measure is established using generalized distance measure under PyPHFS information to find out the unknown weights information of the attributes. The second part consists of the algorithm sets of the TOPSIS technique under PyPHFS environment, where the weights of criteria are completely unknown. Finally, in order to verify the efficiency and superiority of the proposed method, this paper applies some practical examples of the selection of the most critical fog-haze influence factor and makes a detailed comparison with other existing methods.
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Affiliation(s)
- Bushra Batool
- Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan; (B.B.); (M.A.)
| | - Mumtaz Ahmad
- Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan; (B.B.); (M.A.)
| | - Saleem Abdullah
- Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan; (S.A.); (S.A.)
| | - Shahzaib Ashraf
- Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan; (S.A.); (S.A.)
| | - Ronnason Chinram
- Algebra and Applications Research Unit, Department of Mathematics and Statistics, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand
- Correspondence:
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4
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Probabilistic Hybrid Linguistic Approaches for Multiple Attribute Group Decision Making with Decision Hesitancy and the Prioritization of Attribute Relationships. Symmetry (Basel) 2020. [DOI: 10.3390/sym12020235] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
Focusing on ill-structured multiple attribute decision-making (MADM) problems, including decision hesitancy and attribute prioritization relationships, this paper investigates appropriate approaches for decision making. Firstly, we introduce the probabilistic hybrid linguistic term set (P-HLTS) for capturing probabilistic preferences about possible linguistic labels belonging to a wide range of hesitant linguistic term sets. Entropy and distance measurements for P-HLTS are developed without arbitrary complementing operations. To facilitate decision making with attribute prioritization relationships, we present a probabilistic uncertain balanced linguistic-prioritized weighted average (PUBL-PWA) operator and the probabilistic uncertain balanced linguistic-induced prioritized ordered weighted average (PUBL-IPOWA) operator. In terms of the strength of the above tools, we further construct two multiple attribute group decision-making (MAGDM) approaches under P-HLTS environments, namely, an approach for decision-making situations where attribute prioritization relationships are known in advance and the relative importance of decision makers (DMs) or decision-making units (DMUs) is not required for consideration, and second approach for decision-making situations where both attribute prioritization relationships and the weighted vectors of DMs or DMUs are explicitly unknown. In general, our proposed approaches are more flexible and practical when considering heterogeneous opinions, avoiding information distortion brought about by complementing operation-based distance measures. Furthermore, illustrative application studies are conducted to verify our developed approaches.
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5
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Liu P, Xu H, Pedrycz W. A normal wiggly hesitant fuzzy linguistic projection‐based multiattributive border approximation area comparison method. INT J INTELL SYST 2020. [DOI: 10.1002/int.22213] [Citation(s) in RCA: 16] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Affiliation(s)
- Peide Liu
- School of Management Science and EngineeringShandong University of Finance and EconomicsJinan Shandong China
| | - Hongxue Xu
- School of Management Science and EngineeringShandong University of Finance and EconomicsJinan Shandong China
| | - Witold Pedrycz
- Department of Electrical and Computer EngineeringUniversity of AlbertaEdmonton Canada
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6
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Some new dual hesitant fuzzy linguistic operators based on Archimedean t-norm and t-conorm. Neural Comput Appl 2019. [DOI: 10.1007/s00521-018-3534-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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7
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Chen J, Meng S, Zhou W. The exploration of fuzzy linguistic research: A scientometric review based on CiteSpace. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-182737] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Jin Chen
- Business School, Yunnan University of Finance and Economics, Kunming, PR China
| | - Sun Meng
- Business School, Yunnan University of Finance and Economics, Kunming, PR China
| | - Wei Zhou
- Business School, Yunnan University of Finance and Economics, Kunming, PR China
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8
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Wei G, Lu M. Pythagorean Hesitant Fuzzy Hamacher Aggregation Operators in Multiple-Attribute Decision Making. JOURNAL OF INTELLIGENT SYSTEMS 2019. [DOI: 10.1515/jisys-2017-0106] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Abstract
The Hamacher product is a t-norm and the Hamacher sum is a t-conorm. They are good alternatives to the algebraic product and the algebraic sum, respectively. Nevertheless, it seems that most of the existing hesitant fuzzy aggregation operators are based on algebraic operations. In this paper, we utilize Hamacher operations to develop some Pythagorean hesitant fuzzy aggregation operators: Pythagorean hesitant fuzzy Hamacher weighted average operator, Pythagorean hesitant fuzzy Hamacher weighted geometric operator, Pythagorean hesitant fuzzy Hamacher ordered weighted average operator, Pythagorean hesitant fuzzy Hamacher ordered weighted geometric operator, Pythagorean hesitant fuzzy Hamacher hybrid average operator, and Pythagorean hesitant fuzzy Hamacher hybrid geometric operator. The prominent characteristics of these proposed operators are studied. Then, we utilize these operators to develop some approaches for solving the Pythagorean hesitant fuzzy multiple-attribute decision-making problems. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
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9
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Li Z, Lu M. Some novel similarity and distance measures of pythagorean fuzzy sets and their applications. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-179241] [Citation(s) in RCA: 63] [Impact Index Per Article: 12.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Zengxian Li
- College of Mathematics and Software Science, Sichuan Normal University, Chengdu, P.R. China
| | - Mao Lu
- School of Business, Sichuan Normal University, Chengdu, P.R. China
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10
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Song X, Ding Y. Methods for technical innovation efficiency evaluation of high-tech industry with picture fuzzy set. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-179229] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Xiaohong Song
- School of Innovation and Entrepreneurship, Harbin University of Commerce, Harbin, Heilongjiang, China
| | - Yingying Ding
- School of Innovation and Entrepreneurship, Harbin University of Commerce, Harbin, Heilongjiang, China
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11
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Ling CR. Methods for evaluating the government administrative power under the whole area tourism with hesitant fuzzy linguistic information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-179264] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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12
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Xu J. Model for evaluating the teaching effect of the college English public speaking course under the flipped classroom hybrid teaching mode with intuitionistic trapezoidal fuzzy numbers. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-179268] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Jing Xu
- School of Foreign Languages, Shanxi Datong University, Datong, Shanxi, P.R. China
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13
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Ling X. Model for evaluating the art education teaching quality with uncertain information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-179258] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Xiaoxing Ling
- Anqing Normal University, Academy of Fine Arts, Anqing, Anhui, China
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14
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Wang Y, Yu H, Shi F. Research on the security of information system authentication scheme based on the fuzzy number intuitionistic fuzzy information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-179227] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Yajie Wang
- School of Management, Harbin Institute of Technology, Harbin, China
| | - Huan Yu
- School of Management, Harbin Institute of Technology, Harbin, China
| | - Feng Shi
- School of International Trade and Economics, University of International Business and Economics, Beijing, China
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15
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Zhao J, Sun H. Models for evaluating the display systems quality of excavator instrumentation with 2-tuple linguistic information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-179255] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Jing Zhao
- School of Mechanical Engineering, Taiyuan University of Technology, Taiyuan, Shanxi, China
| | - Huanwu Sun
- School of Mechanical Engineering, Taiyuan University of Technology, Taiyuan, Shanxi, China
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16
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Han W, Xie J, Wang F. Model for evaluating the operation performance of high-tech zone technology business incubator network with pythagorean fuzzy information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-179231] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Wensi Han
- School of Management, Wuhan University of Technology, Wuhan, Hubei, China
- School of Innovation and Entrepreneurship, South-Central University for Nationalities, Wuhan, Hubei, China
| | - Jialong Xie
- School of Management, South-Central University for Nationalities, Wuhan, Hubei, China
| | - Fang Wang
- College of Post and Tele Communications and Information Engineering, Wuhan Institute of Technology, Wuhan, Hubei, China
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17
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Wang H. Research on performance evaluation of leisure agriculture supply-side structural reform with interval-valued dual hesitant fuzzy linguistic information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-179242] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Hui Wang
- Department of Tourism Management, Business School, Xiangtan University, Xiangtan, Hunan, China
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18
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Xu ZW, Mei W, Yu JQ, Zhang JR, Yi YC. Research on the lightning disaster risk assessment of electronic information system with intuitionistic fuzzy information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-179267] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Zheng-Wang Xu
- Hubei Collaborative Innovation Center for High-Efficiency Utilization of Solar Energy, Hubei University of Technology, Wuhan, P. R. China
- Hubei Key Laboratory for High-Efficiency Utilization of Solar Energy and Operation Control of Energy Storage System, Hubei University of Technology, Wuhan, P. R. China
- Hubei Power Grid Intelligent Control and Equipment Engineering Technology Research Center, Hubei University of Technology, Wuhan, P. R. China
| | - Wei Mei
- School of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan, P. R. China
| | - Jia-Qi Yu
- School of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan, P. R. China
| | - Jia-Rui Zhang
- School of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan, P. R. China
| | - Yu-Chun Yi
- School of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan, P. R. China
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19
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Multi-Attribute Multi-Perception Decision-Making Based on Generalized T-Spherical Fuzzy Weighted Aggregation Operators on Neutrosophic Sets. MATHEMATICS 2019. [DOI: 10.3390/math7090780] [Citation(s) in RCA: 36] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Abstract
The framework of the T-spherical fuzzy set is a recent development in fuzzy set theory that can describe imprecise events using four types of membership grades with no restrictions. The purpose of this manuscript is to point out the limitations of the existing intuitionistic fuzzy Einstein averaging and geometric operators and to develop some improved Einstein aggregation operators. To do so, first some new operational laws were developed for T-spherical fuzzy sets and their properties were investigated. Based on these new operations, two types of Einstein aggregation operators are proposed namely the Einstein interactive averaging aggregation operators and the Einstein interactive geometric aggregation operators. The properties of the newly developed aggregation operators were then investigated and verified. The T-spherical fuzzy aggregation operators were then applied to a multi-attribute decision making (MADM) problem related to the degree of pollution of five major cities in China. Actual datasets sourced from the UCI Machine Learning Repository were used for this purpose. A detailed study was done to determine the most and least polluted city for different perceptions for different situations. Several compliance tests were then outlined to test and verify the accuracy of the results obtained via our proposed decision-making algorithm. It was proved that the results obtained via our proposed decision-making algorithm was fully compliant with all the tests that were outlined, thereby confirming the accuracy of the results obtained via our proposed method.
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20
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Methods for Multiple-Attribute Group Decision Making with q-Rung Interval-Valued Orthopair Fuzzy Information and Their Applications to the Selection of Green Suppliers. Symmetry (Basel) 2019. [DOI: 10.3390/sym11010056] [Citation(s) in RCA: 73] [Impact Index Per Article: 14.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
In the practical world, there commonly exist different types of multiple-attribute group decision making (MAGDM) problems with uncertain information. Symmetry among some attributes’ information that is already known and unknown, and symmetry between the pure attribute sets and fuzzy attribute membership sets, can be an effective way to solve this type of MAGDM problem. In this paper, we investigate four forms of information aggregation operators, including the Hamy mean (HM) operator, weighted HM (WHM) operator, dual HM (DHM) operator, and the dual-weighted HM (WDHM) operator with the q-rung interval-valued orthopair fuzzy numbers (q-RIVOFNs). Then, some extended aggregation operators, such as the q-rung interval-valued orthopair fuzzy Hamy mean (q-RIVOFHM) operator; q-rung interval-valued orthopairfuzzy weighted Hamy mean (q-RIVOFWHM) operator; q-rung interval-valued orthopair fuzzy dual Hamy mean (q-RIVOFDHM) operator; and q-rung interval-valued orthopair fuzzy weighted dual Hamy mean (q-RIVOFWDHM) operator are presented, and some of their precious properties are studied in detail. Finally, a real example for green supplier selection in green supply chain management is provided, to demonstrate the proposed approach and to verify its rationality and scientific nature.
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21
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Xie J, Qian X. Values evaluation of WTO multilateral trading system with fuzzy number intuitionistic fuzzy information. INTERNATIONAL JOURNAL OF KNOWLEDGE-BASED AND INTELLIGENT ENGINEERING SYSTEMS 2018. [DOI: 10.3233/kes-180392] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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22
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Fuzzy Attribute Expansion Method for Multiple Attribute Decision-Making with Partial Attribute Values and Weights Unknown and Its Applications. Symmetry (Basel) 2018. [DOI: 10.3390/sym10120717] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
In the real world, there commonly exists types of multiple attribute decision-making (MADM) problems with partial attribute values and weights totally unknown. Symmetry among some attribute information that is already known and unknown, and symmetry between the pure attribute set and fuzzy attribute membership set can be a considerable way to solve this type of MADM problem. In this paper, a fuzzy attribute expansion method is proposed to solve this type of problem based on two key techniques: the spline interpolation technique and the attribute weight reconfiguration technique, which are respectively used for the determination of attribute values and the reconfiguration of attribute weights. The spline interpolation technique to expand attribute values can enhance the performance of some regression methods and clustering methods by the comparisons between the results of these methods dealing with practical cases with and without the application of the technique, which further illustrates the effectiveness of this technique. For MADM problems with partial attribute values and weights totally unknown, compared with traditional fuzzy comprehensive evaluation (FCE), FCE with the application of fuzzy attribute expansion method can obtain results more similar with the ones when all attribute values and weights are known, which is proved by the practical power quality evaluation example.
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23
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Algorithm for T-Spherical Fuzzy Multi-Attribute Decision Making Based on Improved Interactive Aggregation Operators. Symmetry (Basel) 2018. [DOI: 10.3390/sym10120670] [Citation(s) in RCA: 73] [Impact Index Per Article: 12.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
The objective of this manuscript is to present some new, improved aggregation operators for the T-spherical fuzzy sets, which is an extension of the several existing sets, such as intuitionistic fuzzy sets, picture fuzzy sets, neutrosophic sets, and Pythagorean fuzzy sets. In it, some new, improved operational laws and their corresponding properties are studied. Further, based on these laws, we propose some geometric aggregation operators and study their various relationships. Desirable properties, as well as some special cases of the proposed operators, are studied. Then, based on these proposed operators, we present a decision-making approach to solve the multi-attribute decision-making problems. The reliability of the presented decision-making method is explored with the help of a numerical example and the proposed results are compared with several prevailing studies’ results. Finally, the superiority of the proposed approach is explained with a counter example to show the advantages of the proposed work.
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25
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Algorithm for Probabilistic Dual Hesitant Fuzzy Multi-Criteria Decision-Making Based on Aggregation Operators With New Distance Measures. MATHEMATICS 2018. [DOI: 10.3390/math6120280] [Citation(s) in RCA: 41] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
Probabilistic dual hesitant fuzzy set (PDHFS) is an enhanced version of a dual hesitant fuzzy set (DHFS) in which each membership and non-membership hesitant value is considered along with its occurrence probability. These assigned probabilities give more details about the level of agreeness or disagreeness. By emphasizing the advantages of the PDHFS and the aggregation operators, in this manuscript, we have proposed several weighted and ordered weighted averaging and geometric aggregation operators by using Einstein norm operations, where the preferences related to each object is taken in terms of probabilistic dual hesitant fuzzy elements. Several desirable properties and relations are also investigated in details. Also, we have proposed two distance measures and its based maximum deviation method to compute the weight vector of the different criteria. Finally, a multi-criteria group decision-making approach is constructed based on proposed operators and the presented algorithm is explained with the help of the numerical example. The reliability of the presented decision-making method is explored with the help of testing criteria and by comparing the results of the example with several prevailing studies.
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26
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Wu XY, Bai SZ. On M-fuzzifying geometric interval spaces. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-172018] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Xiu-Yun Wu
- School of Science, Hunan University of Science and Engineering, Hunan, China
- School of Mathematics and Computational Science, Xiangtan University, Hunan, China
| | - Shi-Zhong Bai
- School of Mathematics and Computational Science, Wuyi University, Guangdong, China
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27
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Approaches to Multiple Attribute Decision Making with Interval-Valued 2-Tuple Linguistic Pythagorean Fuzzy Information. MATHEMATICS 2018. [DOI: 10.3390/math6100201] [Citation(s) in RCA: 69] [Impact Index Per Article: 11.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
The Maclaurin symmetric mean (MSM) operator is a classical mean type aggregation operator used in modern information fusion theory, which is suitable to aggregate numerical values. The prominent characteristic of the MSM operator is that it can capture the interrelationship among multi-input arguments. Motivated by the ideal characteristic of the MSM operator, in this paper, we expand the MSM operator, generalized MSM (GMSM), and dual MSM (DMSM) operator with interval-valued 2-tuple linguistic Pythagorean fuzzy numbers (IV2TLPFNs) to propose the interval-valued 2-tuple linguistic Pythagorean fuzzy MSM (IV2TLPFMSM) operator, interval-valued 2-tuple linguistic Pythagorean fuzzy weighted MSM (IV2TLPFWMSM) operator, interval-valued 2-tuple linguistic Pythagorean fuzzy GMSM (IN2TLPFGMSM) operator, interval-valued 2-tuple linguistic Pythagorean fuzzy weighted GMSM (IV2TLPFWGMSM) operator, interval-valued 2-tuple linguistic Pythagorean fuzzy DMSM (IN2TLPFDMSM) operator, Interval-valued 2-tuple linguistic Pythagorean fuzzy weighted DMSM (IV2TLPFWDMSM) operator. Then the multiple attribute decision making (MADM) methods are developed with these three operators. Finally, an example of green supplier selection is used to show the proposed methods.
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28
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Xu Z, Yu D, Wang X. A bibliometric overview of International Journal of Machine Learning and Cybernetics between 2010 and 2017. INT J MACH LEARN CYB 2018. [DOI: 10.1007/s13042-018-0875-9] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
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29
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Gao H. Pythagorean fuzzy Hamacher Prioritized aggregation operators in multiple attribute decision making. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-172262] [Citation(s) in RCA: 97] [Impact Index Per Article: 16.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Hui Gao
- School of Business, Sichuan Normal University, Chengdu, P.R. China
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30
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Wei G, Wei Y. Some single-valued neutrosophic dombi prioritized weighted aggregation operators in multiple attribute decision making. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-171741] [Citation(s) in RCA: 72] [Impact Index Per Article: 12.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- G. Wei
- School of Business, Sichuan Normal University, Chengdu, P.R. China
- School of Management and Economics, University of Electronic Science and Technology of China, Chengdu, P. R. China
| | - Y. Wei
- School of Finance, Yunnan University of Finance and Economics, Kunming, China
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31
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Huang YH, Wei GW. TODIM method for Pythagorean 2-tuple linguistic multiple attribute decision making. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-171636] [Citation(s) in RCA: 83] [Impact Index Per Article: 13.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Yu-Han Huang
- College of Mathematics and Software Science, Sichuan Normal University, Chengdu, P.R. China
| | - Gui-Wu Wei
- School of Business, Sichuan Normal University, Chengdu, P.R. China
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32
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Khalid A, Beg I. Incomplete interval-valued hesitant fuzzy preference relations in decision making. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-161286] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Asma Khalid
- Center for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore, Pakistan
| | - Ismat Beg
- Center for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore, Pakistan
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33
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Song Y, Li G. Addressing consistency and consensus with group decision support model based on incomplete hesitant fuzzy linguistic preference relations. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-171740] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Yongming Song
- School of Management and Economics, University of Electronic Science and Technology of China, Chengdu, China
| | - Guangxu Li
- School of Management and Economics, University of Electronic Science and Technology of China, Chengdu, China
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34
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Si G, Liao H, Yu D, Llopis-Albert C. Interval-valued 2-tuple hesitant fuzzy linguistic term set and its application in multiple attribute decision making. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-171967] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Guangsen Si
- Business School, Sichuan University, Chengdu, China
| | - Huchang Liao
- Business School, Sichuan University, Chengdu, China
| | - Dejian Yu
- School of Information, Zhejiang University of Finance and Economics, Hangzhou, Zhejiang, China
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35
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Xu DS, Wei C, Wei GW. Minimum deviation method for single-valued neutrosophic multiple attribute decision making with preference information on alternatives. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-171531] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Dong-Sheng Xu
- School of Science, Southwest Petroleum University, Chengdu, P.R. China
| | - Cun Wei
- School of Science, Southwest Petroleum University, Chengdu, P.R. China
| | - Gui-Wu Wei
- School of Business, Sichuan Normal University, Chengdu, P.R. China
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36
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Wei G. Correction to “Pythagorean fuzzy interaction aggregation operators and their application to multiple attribute decision making”. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-169613] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Guiwu Wei
- School of Business, Sichuan Normal University, Chengdu, P.R. China
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37
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Wei G. Uncertain Hamacher Aggregation Operators and Their Application to Multiple Attribute Decision Making. INTERNATIONAL JOURNAL OF DECISION SUPPORT SYSTEM TECHNOLOGY 2018. [DOI: 10.4018/ijdsst.2018040103] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
This article utilizes Hamacher operations to develop some uncertain aggregation operators: uncertain Hamacher weighted average (UHWA) operator, uncertain Hamacher weighted geometric (UHWG) operator, uncertain Hamacher ordered weighted average (UHOWA) operator, uncertain Hamacher ordered weighted geometric (UHOWG) operator, uncertain Hamacher hybrid average (UHHA) operator, uncertain Hamacher hybrid geometric (UHHG) operator and some uncertain Hamacher correlate aggregation operators and uncertain induced Hamacher aggregation operators. The prominent characteristics of these proposed operators are studied. Then, the article utilizes these operators to develop some approaches to solve the uncertain multiple attribute decision making problems. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
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Affiliation(s)
- Guiwu Wei
- Sichuan Normal University, Chengdu, China
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38
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Wei G, Gao H, Wei Y. Some q-rung orthopair fuzzy Heronian mean operators in multiple attribute decision making. INT J INTELL SYST 2018. [DOI: 10.1002/int.21985] [Citation(s) in RCA: 268] [Impact Index Per Article: 44.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Affiliation(s)
- Guiwu Wei
- School of Business; Sichuan Normal University; Chengdu People's Republic of China
| | - Hui Gao
- School of Business; Sichuan Normal University; Chengdu People's Republic of China
| | - Yu Wei
- School of Finance; Yunnan University of Finance and Economics; Kunming People's Republic of China
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39
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Zhang B, Wang Y, Dong MY. Model for evaluating the enterprise performance with triangular fuzzy information. INTERNATIONAL JOURNAL OF KNOWLEDGE-BASED AND INTELLIGENT ENGINEERING SYSTEMS 2018. [DOI: 10.3233/kes-170371] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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40
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Shao JS. Model for evaluating the transformation and upgrading ability of small and medium enterpries with the hesitant fuzzy uncertain linguistic information. INTERNATIONAL JOURNAL OF KNOWLEDGE-BASED AND INTELLIGENT ENGINEERING SYSTEMS 2018. [DOI: 10.3233/kes-170372] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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41
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Gao H, Wei GW. Multiple attribute decision making based on interval-valued Pythagorean uncertain linguistic aggregation operators. INTERNATIONAL JOURNAL OF KNOWLEDGE-BASED AND INTELLIGENT ENGINEERING SYSTEMS 2018. [DOI: 10.3233/kes-180375] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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42
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Cubic Ordered Weighted Distance Operator and Application in Group Decision-Making. JOURNAL OF INTELLIGENT SYSTEMS 2018. [DOI: 10.1515/jisys-2017-0029] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Abstract
Group decision-making is a very useful technique for ranking the group of alternatives. The ordered weighted distance (OWD) operator is a new tool in group decision-making problems. In this paper, we apply the OWD operator on cubic information. We develop a new operator, the so-called cubic OWD (COWD) operator, and study the different properties of it. We also discuss some particular cases of COWD. Finally, we develop a general algorithm for group decision-making problems using the COWD operator and give an application to the group decision-making problem.
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43
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Wei G, Lu M, Tang X, Wei Y. Pythagorean hesitant fuzzy Hamacher aggregation operators and their application to multiple attribute decision making. INT J INTELL SYST 2018. [DOI: 10.1002/int.21978] [Citation(s) in RCA: 86] [Impact Index Per Article: 14.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Guiwu Wei
- School of Business; Sichuan Normal University; Chengdu 610101 People's Republic of China
| | - Mao Lu
- School of Business; Sichuan Normal University; Chengdu 610101 People's Republic of China
| | - Xiyue Tang
- School of Business; Sichuan Normal University; Chengdu 610101 People's Republic of China
| | - Yu Wei
- School of Finance; Yunnan University of Finance and Economics; Kunming 650221 People's Republic of China
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44
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Yue C. A novel approach to interval comparison and application to software quality evaluation. J EXP THEOR ARTIF IN 2018. [DOI: 10.1080/0952813x.2018.1430864] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- Chuan Yue
- College of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang, China
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45
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Kahraman C, Öztayşi B, Çevik Onar S. An Integrated Intuitionistic Fuzzy AHP and TOPSIS Approach to Evaluation of Outsource Manufacturers. JOURNAL OF INTELLIGENT SYSTEMS 2018. [DOI: 10.1515/jisys-2017-0363] [Citation(s) in RCA: 25] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Abstract
Outsourcing is the action of contracting a specific task, function, or process to an external company instead of using an organisation’s resources. The history of outsourcing goes back to the 1980s when it was used for cost reduction in non-core business operations. Over time, outsourcing has moved to more strategic areas and has become an important factor in business performance. The selection of the best alternative among alternative outsource manufacturers is a multi-criteria decision-making problem. In this study, the fuzzy set theory is used to capture the uncertainty embedded into the decision problem. In this paper, an interval-valued intuitionistic fuzzy Analytic Hierarchy Process and Technique for Order of Preference by Similarity to Ideal Solution-based methodology is proposed, and an application is provided for the evaluation of outsource manufacturers.
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Affiliation(s)
- Cengiz Kahraman
- Department of Industrial Engineering, Istanbul Technical University, 34367 Macka, Istanbul, Turkey
| | - Başar Öztayşi
- Department of Industrial Engineering, Istanbul Technical University, 34367 Macka, Istanbul, Turkey
| | - Sezi Çevik Onar
- Department of Industrial Engineering, Istanbul Technical University, 34367 Macka, Istanbul, Turkey
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46
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Wei G, Wei Y. Similarity measures of Pythagorean fuzzy sets based on the cosine function and their applications. INT J INTELL SYST 2018. [DOI: 10.1002/int.21965] [Citation(s) in RCA: 193] [Impact Index Per Article: 32.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
- Guiwu Wei
- School of Business; Sichuan Normal University; Chengdu People's Republic of China
- School of Management and Economics; University of Electronic Science and Technology of China; Chengdu People's Republic of China
| | - Yu Wei
- School of Finance; Yunnan University of Finance and Economics; Kunming People's Republic of China
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47
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Qu G, Qu W, Li C. Some new interval-valued dual hesitant fuzzy Choquet integral aggregation operators and their applications. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-171162] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Guohua Qu
- College of Management Science and Engineering, Shanxi University of Finance and Economics, Taiyuan, China
| | | | - Chunhua Li
- College of Management Science and Engineering, Shanxi University of Finance and Economics, Taiyuan, China
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48
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Approaches to Multiple-Attribute Decision-Making Based on Pythagorean 2-Tuple Linguistic Bonferroni Mean Operators. ALGORITHMS 2018. [DOI: 10.3390/a11010005] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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49
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Models for Multiple Attribute Decision-Making with Dual Generalized Single-Valued Neutrosophic Bonferroni Mean Operators. ALGORITHMS 2018. [DOI: 10.3390/a11010002] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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50
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Peng SM. Study on enterprise risk management assessment based on picture fuzzy multiple attribute decision-making method. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2017. [DOI: 10.3233/jifs-16298] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Su-Mian Peng
- School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, Shandong, China
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