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Zhang S, Wei G, Lin R, Chen X. Cumulative prospect theory integrated CRITIC and TOPSIS methods for intuitionistic fuzzy multiple attribute group decision making. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2022. [DOI: 10.3233/jifs-220638] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
The purpose of this paper is to provide an efficient multiple attribute group decision making (MAGDM) method to better serve the decision-makers(DMs), considering the real psychological state and preferences of the DMs when facing different risks. In real life, MAGDM is a very complex and uncertain problem, which needs to be considered from many aspects. In view of this, the intuitionistic fuzzy TOPSIS method on the basis of cumulative prospect theory (IF-CPT-TOPSIS) is proposed in this paper, which can effectively solve the above problems, cater to the expectations of DMs, and make the decision results more objective and more reliable. The originality of this paper comes from three aspects. First, the new score function is combined with CRITIC method to calculate the weight of attributes, which eliminates the influence of Subjective preference of DMs and makes the primary information more reasonable. Furthermore, the use of the new score function can effectively avoid the exception conditions in the IFS problems. Secondly, applying the distance measurement formula of IFSs to determine the degree of approaching the ideal solution, so that the decision model can reflect the environmental changes more quickly. Thirdly, calculate the relative profit loss ratio of each scheme. Hence, each scheme is ranked and the optimal one is selected. Finally, in order to demonstrate the effectiveness of the model, a specific example is given and comparative analysis with the existing methods. The results show that the improved IF-CPT-TOPSIS method is useful and can be widely adapted for complex MAGDM problems.
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Affiliation(s)
- Shanshan Zhang
- School of Economics and Management, Sichuan Normal University, Chengdu, P.R. China
| | - Guiwu Wei
- School of Business, Sichuan Normal University, Chengdu, P.R. China
| | - Rui Lin
- School of Economics and Management, Chongqing University of Arts and Sciences, Chongqing, China
| | - Xudong Chen
- School of Accounting, Southwestern University of Finance and Economics, Chengdu, P.R. China
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2
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Liu S, Jiang R. Research on service quality evaluation of sports clubs with Pythagorean fuzzy information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2022. [DOI: 10.3233/jifs-212229] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
In this paper, considering the traditional geometric operation laws and Pythagorean fuzzy information, a varies of new distance measures of Pythagorean fuzzy set are proposed, such as generalized Pythagorean fuzzy ordered geometric distance (GPFOWGD) measures and generalized Pythagorean fuzzy hybrid weighted geometric distance (GPFHWGD) measures. Besides, some special issues including Hamming distance, Euclidean distance and Hausdorff distance of these raised geometric distance measures are investigated. To testify the valid of these new presented distance measures, a decision-making model is built and illustrated by a mathematical calculation example to evaluate the service quality of sports clubs using Pythagorean fuzzy information. The results display that the approach is uncomplicated, valid and simple to compute. The example illustrates that the method presented in the paper can be used to deal with problems of uncertainty such as dynamic multiple attribute decision making.
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Affiliation(s)
- Shulin Liu
- Physical College of JJU, Jiujiang University, Jiujiang, Jiangxi, China
| | - Rui Jiang
- Physical College of JJU, Jiujiang University, Jiujiang, Jiangxi, China
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3
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Multiattribute decision making based on nonlinear programming methodology and novel score function of interval-valued intuitionistic fuzzy values. Inf Sci (N Y) 2022. [DOI: 10.1016/j.ins.2022.06.004] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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4
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5
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Phu ND, Hung NN, Ahmadian A, Salahshour S. Limit properties in the metric semi-linear space of picture fuzzy numbers. Soft comput 2022; 26:5481-5496. [PMID: 35465468 PMCID: PMC9017969 DOI: 10.1007/s00500-022-07017-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 03/13/2022] [Indexed: 11/30/2022]
Abstract
The picture fuzzy set (PFS) just appeared in 2014 and was introduced by Cuong, which is a generalization of intuitionistic fuzzy sets (Atanassov in Fuzzy Sets Syst 20(1):87–96, 1986) and fuzzy sets (Zadeh Inf Control 8(3):338–353, 1965). The picture fuzzy number (PFN) is an ordered value triple, including a membership degree, a neutral-membership degree, a non-membership degree, of a PFS. The PFN is a useful tool to study the problems that have uncertain information in real life. In this paper, the main aim is to develop basic foundations that can become tools for future research related to PFN and picture fuzzy calculus. We first establish a semi-linear space for PFNs by providing two new definitions of two basic operations, addition and scalar multiplication, such that the set of PFNs together with these two operations can form a semi-linear space. Moreover, we also provide some important properties and concepts such as metrics, order relations between two PFNs, geometric difference, multiplication of two PFNs. Next, we introduce picture fuzzy functions with a real domain that is also known as picture fuzzy functions with time-varying values, called geometric picture fuzzy function (GPFFs). In this framework, we give definitions about the limit of GPFFs and sequences of PFN. The important limit properties are also presented in detail. Finally, we prove that the metric semi-linear space of PFNs is complete, which is an important property in the classical mathematical analysis.
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Affiliation(s)
- Nguyen Dinh Phu
- Faculty of Engineering Technology, Quang Trung University, Quy Nhon, Vietnam
| | - Nguyen Nhut Hung
- Department of Mathematics, Faculty of Science, Nong Lam University, Ho Chi Minh City, Vietnam
| | - Ali Ahmadian
- Department of Law, Economics and Human Sciences, Mediterranea University of Reggio Calabria, 89125 Reggio Calabria, Italy
- Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey
| | - Soheil Salahshour
- Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
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6
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Using Fuzzy AHP-PROMETHEE for Market Risk Assessment of New-Build River Cruises on the Yangtze River. SUSTAINABILITY 2021. [DOI: 10.3390/su132212932] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
Cruise tourism on the Yangtze River Basin has developed rapidly in recent years. However, it is still facing such challenges as homogenization of itinerary and shore attraction arrangement, as well as aging cruise ships and simplification of service facilities, while it is also difficult to satisfy hierarchical and personalized tourist needs. To change such circumstances, new-build river cruise ships are inevitable. Complexity of market supply and demand environment, together with variability of tourist preferences, have increased market uncertainties of new-build cruise products. This study aims to assess market risks of new-build river cruise ships first by identifying risk factors, from the perspective of supply and demand under the actual conditions of the Yangtze River cruise market, then by evaluating potential impacts, caused by risk factors based on multi-criteria decision-making considerations. Fuzzy AHP-PROMETHEE was employed to prioritize the risk factors. The results reveal that among the most significant market risk factors are the following, in sequence: backwardness of support facilities; sudden security crisis; homogenization of cruise products; simplification of tourism route design; and inadequate management of the tourism market. Such findings will provide beneficial insights for strategic and sustainable development of river cruises on the Yangtze River.
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7
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Xu B. Methods for evaluating the computer network security with fuzzy number intuitionistic fuzzy dual Hamy mean operators. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2020. [DOI: 10.3233/jifs-200414] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
The concept of fuzzy number intuitionistic fuzzy sets (FNIFSs) is designed to effectively depict uncertain information in decision making problems which fundamental characteristic of the FNIFS is that the values of its membership function and non-membership function are depicted with triangular fuzzy numbers (TFNs). The dual Hamy mean (DHM) operator gets good performance in the process of information aggregation due to its ability to capturing the interrelationships among aggregated values. In this paper, we used the dual Hamy mean (DHM) operator and dual weighted Hamy mean (WDHM) operator with fuzzy number intuitionistic fuzzy numbers (FNIFNs) to propose the fuzzy number intuitionistic fuzzy dual Hamy mean (FNIFDHM) operator and fuzzy number intuitionistic fuzzy weighted dual Hamy mean (FNIFWDHM) operator. Then the MADM methods are proposed along with these operators. In the end, we utilize an applicable example for computer network security evaluation to prove the proposed methods.
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Affiliation(s)
- Bin Xu
- School of Computer Science and Technology, Hubei University of Science and Technology, Xianning, Hubei, P.R. China
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8
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Khan MSA, Khan F, Lemley J, Abdullah S, Hussain F. Extended topsis method based on Pythagorean cubic fuzzy multi-criteria decision making with incomplete weight information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2020. [DOI: 10.3233/jifs-191089] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
| | - Faisal Khan
- College of Engineering and Informatics, National University Ireland, Galway, Ireland
| | - Joseph Lemley
- College of Engineering and Informatics, National University Ireland, Galway, Ireland
| | - Saleem Abdullah
- Department of Mathematics, Abdul Wali Khan University, Mardan, KPK, Pakistan
| | - Fawad Hussain
- Department of Mathematics, Abbottabad University of Science and Technology Abbottabad, KPK, Pakistan
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9
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Nguyen H. Some new operations on Atanassov’s intuitionistic fuzzy sets in decision-making problems. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2020. [DOI: 10.3233/jifs-179437] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Hoang Nguyen
- Department of Engineering Sciences, Gdynia Maritime University, Morska Gdynia, Poland
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10
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Fahmi A, Amin F, Abdullah S, Shakeel M. Power Average Operators of Trapezoidal Cubic Fuzzy Numbers and Application to Multi-attribute Group Decision Making. JOURNAL OF INTELLIGENT SYSTEMS 2019. [DOI: 10.1515/jisys-2018-0122] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Abstract
Trapezoidal cubic fuzzy numbers (TzCFNs) are an extraordinary cubic fuzzy set on a real number set. TzCFNs are useful for dealing with well-known quantities in decision data and decision making problems themselves. This paper is about multi-attribute group decision making problems in which the attribute values are stated with TzCFNs, which are solved by developing a new decision method based on power average operators of TzCFNs. The new operation laws for TzCFNs are given. Hereby, the power average operator of real numbers is extended to four kinds of power average operators of TzCFNs, involving the power average operator of TzCFNs, the weighted power average operator of TzCFNs, the power ordered weighted average operator of TzCFNs, and the power hybrid average operator of TzCFNs. In the proposed group decision method, the individual overall evaluation values of alternatives are generated by using the power average operator of TzCFNs. Applying the hybrid average operator of TzCFNs, the specific general evaluation standards of alternatives are then combined into the collective ones, which are used to rank the alternatives. The example analysis shows the practicality and effectiveness of the proposed method.
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Affiliation(s)
- Aliya Fahmi
- Department of Mathematics, Hazara University Mansehra, Mansehra, Pakistan
| | - Fazli Amin
- Department of Mathematics, Hazara University Mansehra, Mansehra 21120, Pakistan
| | - Saleem Abdullah
- Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Pakistan
| | - Muhammad Shakeel
- Department of Mathematics, Hazara University Mansehra, Mansehra, Pakistan
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11
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Kuo R, Cheng W, Lien WC, Yang T. Application of genetic algorithm-based intuitionistic fuzzy neural network to medical cost forecasting for acute hepatitis patients in emergency room. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-190554] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Affiliation(s)
- R.J. Kuo
- Department of Industrial Management, National Taiwan University of Science and Technology, Taipei, Taiwan
| | - W.C. Cheng
- Microsoft Taiwan Corporation, Taipei, Taiwan
| | - Wan-Ching Lien
- Department of Emergency Medicine, National Taiwan University Hospital and National Taiwan University, Taipei, Taiwan
| | - T.J. Yang
- Department of Emergency Medicine, Sijhih Cathay General Hospital, Taipei, Taiwan
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12
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Xu R. Methods for evaluating the development potential of digital media technology with fuzzy number intuitionistic fuzzy information. INTERNATIONAL JOURNAL OF KNOWLEDGE-BASED AND INTELLIGENT ENGINEERING SYSTEMS 2019. [DOI: 10.3233/kes-190412] [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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13
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Zhang YS. Model for art effect evaluation of fashion photography with triangular intuitionistic fuzzy information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-179226] [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)
- Yan-Song Zhang
- School of Fashion, Dalian Polytechnic University, Dalian, Liaoning, China
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14
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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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15
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Ali MI, Feng F, Mahmood T, Mahmood I, Faizan H. A graphical method for ranking Atanassov's intuitionistic fuzzy values using the uncertainty index and entropy. INT J INTELL SYST 2019. [DOI: 10.1002/int.22174] [Citation(s) in RCA: 30] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Affiliation(s)
- Muhammad Irfan Ali
- Department of MathematicsIslamabad Model College for Girls Islamabad Pakistan
| | - Feng Feng
- School of ScienceXi'an University of Posts and Telecommunications Xi'an China
- Shaanxi Key Laboratory of Network Data Analysis and Intelligent ProcessingXi'an University of Posts and Telecommunications Xi'an China
| | - Tahir Mahmood
- Department of Mathematics and StatisticsInternational Islamic University Islamabad Pakistan
| | - Imran Mahmood
- Department of Mathematics and StatisticsInternational Islamic University Islamabad Pakistan
| | - Haider Faizan
- Department of Mathematics and StatisticsInternational Islamic University Islamabad Pakistan
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16
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Some Hesitant Fuzzy Hamacher Power-Aggregation Operators for Multiple-Attribute Decision-Making. MATHEMATICS 2019. [DOI: 10.3390/math7070594] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
As an extension of the fuzzy set, the hesitant fuzzy set is used to effectively solve the hesitation of decision-makers in group decision-making and to rigorously express the decision information. In this paper, we first introduce some new hesitant fuzzy Hamacher power-aggregation operators for hesitant fuzzy information based on Hamacher t-norm and t-conorm. Some desirable properties of these operators is shown, and the interrelationships between them are given. Furthermore, the relationships between the proposed aggregation operators and the existing hesitant fuzzy power-aggregation operators are discussed. Based on the proposed aggregation operators, we develop a new approach for multiple-attribute decision-making problems. Finally, a practical example is provided to illustrate the effectiveness of the developed approach, and the advantages of our approach are analyzed by comparison with other existing approaches.
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17
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Kuo R, Cheng W. An intuitionistic fuzzy neural network with gaussian membership function. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-18998] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- R.J. Kuo
- Department of Industrial Management, National Taiwan University of Science and Technology, Taipei, Taiwan
| | - W.C. Cheng
- Microsoft Taiwan Corporation, Taipei, Taiwan
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18
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Wang L, Li N. Continuous interval-valued Pythagorean fuzzy aggregation operators for multiple attribute group decision making. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-182570] [Citation(s) in RCA: 26] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Lei Wang
- Department of Basic Teaching, Liaoning Technical University, Huludao, China
| | - Na Li
- Department of Basic Teaching, Liaoning Technical University, Huludao, China
- College of Science, Liaoning Technical University, Fuxin, China
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19
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Multiattribute decision making based on nonlinear programming methodology, particle swarm optimization techniques and interval-valued intuitionistic fuzzy values. Inf Sci (N Y) 2019. [DOI: 10.1016/j.ins.2018.08.021] [Citation(s) in RCA: 27] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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20
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Yin S, Li B, Dong H. A novel dynamic multi-attribute decision-making method based on the improved weights function and score function, and its application. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-171505] [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)
- Shi Yin
- School of Economics and Management, Harbin Engineering University, Harbin, China
| | - Baizhou Li
- School of Economics and Management, Harbin Engineering University, Harbin, China
| | - Hengmin Dong
- School of Economics and Management, Harbin Engineering University, Harbin, China
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21
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Covering-based intuitionistic fuzzy rough sets and applications in multi-attribute decision-making. Artif Intell Rev 2018. [DOI: 10.1007/s10462-018-9674-7] [Citation(s) in RCA: 35] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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22
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Chen SM, Kuo LW, Zou XY. Multiattribute decision making based on Shannon's information entropy, non-linear programming methodology, and interval-valued intuitionistic fuzzy values. Inf Sci (N Y) 2018. [DOI: 10.1016/j.ins.2018.06.047] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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23
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Chen SM, Kuo LW. Multiattribute decision making based on non-linear programming methodology with hyperbolic function and interval-valued intuitionistic fuzzy values. Inf Sci (N Y) 2018. [DOI: 10.1016/j.ins.2018.04.032] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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24
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Tiwari AK, Shreevastava S, Shukla K, Subbiah K. New approaches to intuitionistic fuzzy-rough attribute reduction. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-169519] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
| | | | - K.K. Shukla
- Department of Computer Science and Engineering, IIT (BHU), Varanasi, India
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25
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Luo WQ. Models for selecting the marketing promotional modes of new energy vehicles financial leasing with fuzzy number intuitionistic fuzzy information. INTERNATIONAL JOURNAL OF KNOWLEDGE-BASED AND INTELLIGENT ENGINEERING SYSTEMS 2017. [DOI: 10.3233/kes-170364] [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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26
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Multi-attribute group decision making under probabilistic hesitant fuzzy environment with application to evaluate the transformation efficiency. APPL INTELL 2017. [DOI: 10.1007/s10489-017-1041-x] [Citation(s) in RCA: 28] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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27
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Büyüközkan G, Göçer F. Application of a new combined intuitionistic fuzzy MCDM approach based on axiomatic design methodology for the supplier selection problem. Appl Soft Comput 2017. [DOI: 10.1016/j.asoc.2016.08.051] [Citation(s) in RCA: 127] [Impact Index Per Article: 18.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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28
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Liu Y, Wu J, Liang C. Some Einstein aggregating operators for trapezoidal intuitionistic fuzzy MAGDM and application in investment evolution. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2017. [DOI: 10.3233/jifs-151080] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Yujia Liu
- School of Economics and Management, Shanghai Maritime University, Shanghai, PR China
- School of Management, Hefei University, Hefei, Anhui, PR China
| | - Jian Wu
- School of Economics and Management, Shanghai Maritime University, Shanghai, PR China
| | - Changyong Liang
- School of Management, Hefei University, Hefei, Anhui, PR China
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29
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Wei GW, Xu XR, Deng DX. Interval-valued dual hesitant fuzzy linguistic geometric aggregation operators in multiple attribute decision making. INTERNATIONAL JOURNAL OF KNOWLEDGE-BASED AND INTELLIGENT ENGINEERING SYSTEMS 2016. [DOI: 10.3233/kes-160337] [Citation(s) in RCA: 41] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Gui-Wu Wei
- School of Business, Sichuan Normal University, Chengdu, Sichuan 610101, China
| | - Xin-Rui Xu
- School of Economics and Management, Chongqing University of Arts and Sciences, Yongchuan, Chongqing 402160, China
| | - De-Xue Deng
- School of Economics and Management, Chongqing University of Arts and Sciences, Yongchuan, Chongqing 402160, China
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30
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Chen SM, Cheng SH, Lan TC. Multicriteria decision making based on the TOPSIS method and similarity measures between intuitionistic fuzzy values. Inf Sci (N Y) 2016. [DOI: 10.1016/j.ins.2016.05.044] [Citation(s) in RCA: 133] [Impact Index Per Article: 16.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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31
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Tian F, Liu S, Xu Z, Lei Q. Diagram Illustrations of Aggregation Operations for the Intuitionistic Fuzzy Values. INT J UNCERTAIN FUZZ 2016. [DOI: 10.1142/s021848851650029x] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Atanassov (Intuitionistic fuzzy set, Fuzzy Sets and Systems 20 (1986) 87–96) proposed the intuitionistic fuzzy set (A-IFS) that is a generalization of Zadeh's fuzzy set. The essential elements of an A-IFS are intuitionistic fuzzy values (IFVs), each of which is depicted by a membership degree and a non-membership degree. The existing literature only gives the explanation of the meaning and the aggregation operators of IFVs, which is very hard and non-visualized for us to comprehend. To overcome the above shortcomings, this paper puts forward the diagram method to analyze the structures of the basic aggregation operations of IFVs. In addition, this paper utilizes the diagram method which is similar to joint probability distribution to describe the components of aggregation operations of IFVs, and each IFV depicts a 3-dimensional vector which is regarded as the marginal distributions of the joint probability distribution.
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Affiliation(s)
- Feng Tian
- College of Sciences, PLA University of Science and Technology, Nanjing Jiangsu 210007, China
| | - Shousheng Liu
- College of Sciences, PLA University of Science and Technology, Nanjing Jiangsu 210007, China
| | - Zeshui Xu
- Business School, Sichuan University, Chengdu, Sichuan 610065, China
| | - Qian Lei
- College of Sciences, PLA University of Science and Technology, Nanjing Jiangsu 210007, China
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32
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Huang B, Guo CX, Li HX, Feng GF, Zhou XZ. An intuitionistic fuzzy graded covering rough set. Knowl Based Syst 2016. [DOI: 10.1016/j.knosys.2016.06.006] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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33
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Wang JB, Wang MZ. Research on comprehensive performance evaluation of communication network based on the fuzzy number intuitionistic fuzzy information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2016. [DOI: 10.3233/jifs-16238] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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34
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Zhao YD, Li ZM, Zhang XG. Models for software quality evaluation with fuzzy number intuitionistic fuzzy information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2016. [DOI: 10.3233/jifs-16190] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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35
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Sun G, Xia WL. Evaluation method for innovation capability and efficiency of high technology enterprises with interval-valued intuitionistic fuzzy information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2016. [DOI: 10.3233/ifs-162208] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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Fuzzy multiattribute decision making based on transformation techniques of intuitionistic fuzzy values and intuitionistic fuzzy geometric averaging operators. Inf Sci (N Y) 2016. [DOI: 10.1016/j.ins.2016.02.049] [Citation(s) in RCA: 116] [Impact Index Per Article: 14.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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37
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An interval-valued intuitionistic fuzzy permutation method with likelihood-based preference functions and its application to multiple criteria decision analysis. Appl Soft Comput 2016. [DOI: 10.1016/j.asoc.2016.02.006] [Citation(s) in RCA: 50] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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A novel similarity measure between intuitionistic fuzzy sets based on the centroid points of transformed fuzzy numbers with applications to pattern recognition. Inf Sci (N Y) 2016. [DOI: 10.1016/j.ins.2016.01.040] [Citation(s) in RCA: 127] [Impact Index Per Article: 15.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Wang SW, Ding XQ, Ding ZZ. Model for performance evaluation in customs service management with dual hesitant fuzzy information. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2016. [DOI: 10.3233/ifs-151926] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Shu-Wen Wang
- University of International Business and Economics (UIBE), Beijing, China
| | | | - Zhi-Zai Ding
- HIDA NEWSTAR Software Consulting, Co. Ltd. Qingdao, China
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Garg H. A New Generalized Pythagorean Fuzzy Information Aggregation Using Einstein Operations and Its Application to Decision Making. INT J INTELL SYST 2016. [DOI: 10.1002/int.21809] [Citation(s) in RCA: 420] [Impact Index Per Article: 52.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Affiliation(s)
- Harish Garg
- School of Mathematics; Thapar University; Patiala 147 004 India
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Garg H. A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems. Appl Soft Comput 2016. [DOI: 10.1016/j.asoc.2015.10.040] [Citation(s) in RCA: 216] [Impact Index Per Article: 27.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
|
42
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Zhang F, Xu S. Remarks to “Fuzzy multicriteria decision making method based on the improved accuracy function for interval-valued intuitionistic fuzzy sets”. Soft comput 2015. [DOI: 10.1007/s00500-015-1932-x] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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43
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Li J, Zeng W. A new dissimilarity measure between intuitionistic fuzzy sets and its application in multiple attribute decision making1. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2015. [DOI: 10.3233/ifs-141440] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Junhong Li
- College of Information Science and Technology, Beijing Normal University, Beijing, PR China
- College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei, PR China
| | - Wenyi Zeng
- College of Information Science and Technology, Beijing Normal University, Beijing, PR China
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Şahin R. Fuzzy multicriteria decision making method based on the improved accuracy function for interval-valued intuitionistic fuzzy sets. Soft comput 2015. [DOI: 10.1007/s00500-015-1657-x] [Citation(s) in RCA: 48] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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45
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46
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A novel similarity measure between Atanassov’s intuitionistic fuzzy sets based on transformation techniques with applications to pattern recognition. Inf Sci (N Y) 2015. [DOI: 10.1016/j.ins.2014.07.033] [Citation(s) in RCA: 172] [Impact Index Per Article: 19.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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48
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Multiple criteria decision analysis using a likelihood-based outranking method based on interval-valued intuitionistic fuzzy sets. Inf Sci (N Y) 2014. [DOI: 10.1016/j.ins.2014.07.003] [Citation(s) in RCA: 47] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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49
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Wu J, Chiclana F. A risk attitudinal ranking method for interval-valued intuitionistic fuzzy numbers based on novel attitudinal expected score and accuracy functions. Appl Soft Comput 2014. [DOI: 10.1016/j.asoc.2014.05.005] [Citation(s) in RCA: 67] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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50
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