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Ye J, Du S, Yong R, Zhang F. Arccosine and arctangent similarity measures of refined simplified neutrosophic indeterminate sets and their multicriteria decision-making method. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2021. [DOI: 10.3233/jifs-201571] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
Abstract
In indeterminate and inconsistent setting, existing simplified neutrosophic indeterminate set (SNIS) can be depicted by the neutrosophic number (NN) functions of the truth, falsity and indeterminacy. Then, the three NN functions in SNIS lack their refined expressions and then the simplified neutrosophic indeterminate decision making (DM) method cannot carry out the multicriteria DM problems with both criteria and sub-criteria in the setting of SNISs. To overcome the flaws, this study first proposes a new notion of a refined simplified neutrosophic indeterminate set (RSNIS), which is described by the refined truth, falsity and indeterminate NN information regarding both elements and sub-elements in a universe set, as the extension of SNIS. Next, we propose the arccosine and arctangent similarity measures of RSNISs and their multicriteria DM method with various indeterminate risk ranges so as to carry out multicriteria DM problems with weight values of both criteria and sub-criteria in RSNIS setting. Lastly, the proposed DM method is applied to a multicriteria DM example of slope design schemes for an open pit mine to illustrate its application in the indeterminate DM problem with RSNISs. The decision results and comparative analysis indicate the rationality and efficiency of the proposed DM method with different indeterminate risk ranges.
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Affiliation(s)
- Jun Ye
- School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. China
| | - Shigui Du
- School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. China
| | - Rui Yong
- School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. China
| | - Fangwei Zhang
- School of Civil and Environmental Engineering, Ningbo University, Ningbo, P. R. China
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Ye J. Entropy measures of simplified neutrosophic sets and their decision-making approach with positive and negative arguments. JOURNAL OF MANAGEMENT ANALYTICS 2021. [DOI: 10.1080/23270012.2021.1885513] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Affiliation(s)
- Jun Ye
- School of Civil and Environmental Engineering, Ningbo University, Ningbo, People’s Republic of China
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Du S, Ye J, Yong R, Zhang F. SIMPLIFIED NEUTROSOPHIC INDETERMINATE DECISION MAKING METHOD WITH DECISION MAKERS’ INDETERMINATE RANGES. JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 2020. [DOI: 10.3846/jcem.2020.12919] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
Abstract
There exists the indeterminate situations of truth, falsity, indeterminacy degrees due to the
uncertainty and inconsistency of decision makers’ arguments in a complicated decision making (DM) problem. Then, existing
neutrosophic set cannot describe the indeterminate information of truth, falsity, indeterminacy degrees. It is noted that
the simplified neutrosophic set (SNS) is depicted by truth, falsity, indeterminacy degrees, while a neutrosophic number
(NN) can be flexibly depicted by its determinate part and its indeterminate part. Regarding the indeterminate situations
of truth, falsity, indeterminacy degrees in indeterminate DM problems, this study first presents a simplified neutrosophic
indeterminate set (SNIS) to express the hybrid information of SNS and NN and defines the score, accuracy, and certainty
functions of simplified neutrosophic indeterminate elements (SNIEs) with indeterminate ranges to compare SNIEs. Then, we
introduce a SNIE weighted arithmetic averaging (SNIEWAA) operator and a SNIE weighted geometric averaging (SNIEWGA) operator
to aggregate simplified neutrosophic indeterminate information. Next, a multi-attribute DM approach with decision makers’
indeterminate ranges is established regarding the SNIEWAA and SNIEWGA operators in SNIS setting. Finally, the proposed DM
approach is applied in a DM example on choosing a suitable slope design scheme to indicate the applicability and suitability
of the proposed approach.
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Affiliation(s)
- Shigui Du
- Institute of Rock Mechanics, Ningbo University, 315211 Ningbo, P. R. China
| | - Jun Ye
- Institute of Rock Mechanics, Ningbo University, 315211 Ningbo,
P. R. China; Department of Civil Engineering, Shaoxing University, 312000 Shaoxing, P. R. China
| | - Rui Yong
- Department of Civil Engineering, Shaoxing University, 312000 Shaoxing, P. R. China
| | - Fangwei Zhang
- Institute of Rock Mechanics, Ningbo University, 315211 Ningbo, P. R. China
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A multi-criteria group decision making algorithm with quadripartitioned neutrosophic weighted aggregation operators using quadripartitioned neutrosophic numbers in IPQSVNSS environment. Soft comput 2020. [DOI: 10.1007/s00500-019-04417-1] [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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A Novel Dynamic Multi-Criteria Decision Making Method Based on Generalized Dynamic Interval-Valued Neutrosophic Set. Symmetry (Basel) 2020. [DOI: 10.3390/sym12040618] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
Abstract
Dynamic multi-criteria decision-making (DMCDM) models have many meaningful applications in real life in which solving indeterminacy of information in DMCDMs strengthens the potential application of DMCDM. This study introduces an extension of dynamic internal-valued neutrosophic sets namely generalized dynamic internal-valued neutrosophic sets. Based on this extension, we develop some operators and a TOPSIS method to deal with the change of both criteria, alternatives, and decision-makers by time. In addition, this study also applies the proposal model to a real application that facilitates ranking students according to attitude-skill-knowledge evaluation model. This application not only illustrates the correctness of the proposed model but also introduces its high potential appliance in the education domain.
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Ye J. Generalized Ordered Weighted Simplified Neutrosophic Cosine Similarity Measure for Multiple Attribute Group Decision Making. INTERNATIONAL JOURNAL OF COGNITIVE INFORMATICS AND NATURAL INTELLIGENCE 2020. [DOI: 10.4018/ijcini.2020010104] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
Abstract
The paper proposes a generalized ordered weighted simplified neutrosophic cosine similarity (GOWSNCS) measure by combining the cosine similarity measure of simplified neutrosophic sets (SNSs) with the generalized ordered weighted averaging (GOWA) operator and investigates its properties and special cases. Then, the author develops a simplified neutrosophic group decision-making method based on the GOWSNCS measure to handle multiple attribute group decision-making problems with simplified neutrosophic information. The prominent characteristics of the GOWSNCS measure are that it not only is a generalization of the cosine similarity measure but also considers the associated weights for attributes and decision makers in the aggregation of the cosine similarity measures of SNSs to alleviate the influence of unduly large or small similarities in the process of information aggregation. Finally, an illustrative example of investment alternatives is provided to demonstrate the application and effectiveness of the developed approach.
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Affiliation(s)
- Jun Ye
- Shaoxing University, Shaoxing, China
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Wu L, Gao H, Wei C. VIKOR method for financing risk assessment of rural tourism projects under interval-valued intuitionistic fuzzy environment. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-179262] [Citation(s) in RCA: 69] [Impact Index Per Article: 13.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Liangping Wu
- School of Business, Sichuan Normal University, Chengdu, China
| | - Hui Gao
- School of Business, Sichuan Normal University, Chengdu, China
| | - Cun Wei
- School of Science, Southwest Petroleum University, Chengdu, P.R. China
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Altun F, Şahin R, Güler C. Multi-criteria decision making approach based on PROMETHEE with probabilistic simplified neutrosophic sets. Soft comput 2019. [DOI: 10.1007/s00500-019-04244-4] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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A Novel Method for Determining the Attribute Weights in the Multiple Attribute Decision-Making with Neutrosophic Information through Maximizing the Generalized Single-Valued Neutrosophic Deviation. INFORMATION 2018. [DOI: 10.3390/info9060137] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
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Operations and aggregation method of neutrosophic cubic numbers for multiple attribute decision-making. Soft comput 2018. [DOI: 10.1007/s00500-018-3194-x] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
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NN-Harmonic Mean Aggregation Operators-Based MCGDM Strategy in a Neutrosophic Number Environment. AXIOMS 2018. [DOI: 10.3390/axioms7010012] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
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Pramanik S, Dalapati S, Alam S, Roy T. NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment. INFORMATION 2017. [DOI: https://doi.org/10.3390/info8040149] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022] Open
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Several hybrid aggregation operators for triangular intuitionistic fuzzy set and their application in multi-criteria decision making. GRANULAR COMPUTING 2017. [DOI: 10.1007/s41066-017-0061-6] [Citation(s) in RCA: 28] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
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Cosine Measures of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making. Symmetry (Basel) 2017. [DOI: 10.3390/sym9070121] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023] Open
Abstract
The neutrosophic cubic set can contain much more information to express its interval neutrosophic numbers and single-valued neutrosophic numbers simultaneously in indeterminate environments. Hence, it is a usual tool for expressing much more information in complex decision-making problems. Unfortunately, there has been no research on similarity measures of neutrosophic cubic sets so far. Since the similarity measure is an important mathematical tool in decision-making problems, this paper proposes three cosine measures between neutrosophic cubic sets based on the included angle cosine of two vectors, distance, and cosine functions, and investigates their properties. Then, we develop a cosine measures-based multiple attribute decision-making method under a neutrosophic cubic environment in which, from the cosine measure between each alternative (each evaluated neutrosophic cubic set) and the ideal alternative (the ideal neutrosophic cubic set), the ranking order of alternatives and the best option can be obtained, corresponding to the cosine measure values in the decision-making process. Finally, an illustrative example about the selection problem of investment alternatives is provided to illustrate the application and feasibility of the developed decision-making method.
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Correlation Coefficient between Dynamic Single Valued Neutrosophic Multisets and Its Multiple Attribute Decision-Making Method. INFORMATION 2017. [DOI: 10.3390/info8020041] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023] Open
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