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A novel method of ranking intuitionistic fuzzy numbers using value and $$\theta $$ multiple of ambiguity at flexibility parameters. Soft comput 2021. [DOI: 10.1007/s00500-021-06102-8] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023]
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Chutia R. Ordering intuitionistic fuzzy numbers by a convex combination of values and multiple of ambiguity inclusion functions with ambiguities of membership and nonmembership functions. INT J INTELL SYST 2021. [DOI: 10.1002/int.22530] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Affiliation(s)
- Rituparna Chutia
- Department of Mathematics Cotton University Guwahati Assam India
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Garai T, Chakraborty D, Roy TK. A multi-item generalized intuitionistic fuzzy inventory model with inventory level dependent demand using possibility mean, variance and covariance. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-17298] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Totan Garai
- Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, India
| | - Dipankar Chakraborty
- Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, India
| | - Tapan Kumar Roy
- Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, India
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Garai T, Chakraborty D, Roy TK. Possibility–necessity–credibility measures on generalized intuitionistic fuzzy number and their applications to multi-product manufacturing system. GRANULAR COMPUTING 2017. [DOI: 10.1007/s41066-017-0067-0] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Dong JY, Lin LL, Wang F, Wan SP. Generalized Choquet Integral Operator of Triangular Atanassov’s Intuitionistic Fuzzy Numbers and Application to Multi-Attribute Group Decision Making. INT J UNCERTAIN FUZZ 2016. [DOI: 10.1142/s0218488516500306] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
The purpose of this paper is to propose a new approach to interactive multi-attribute group decision making with triangular Atanassov's intuitionistic fuzzy numbers (TAIFNs). The contribution of this study is fivefold: (1) Minkowski distance between TAIFNs is firstly defined; (2) We define the possibility attitudinal expected values of TAIFNs and thereby present a novel risk attitudinal ranking method of TAIFNs which can sufficiently consider the risk attitude of decision maker; (3) The weighted average operator (TAIFWA) and generalized ordered weighted average (TAIFGWA) operator of TAIFNs are defined as well as the hybrid ordered weighted average (TAIFHOWA) operator; (4) To study the interaction between attributes, we further develop the generalized Choquet (TAIF-GC) integral operator and generalized hybrid Choquet (TAIF-GHC) integral operator of TAIFNs. Their desirable properties are also discussed; (5) The individual overall value of alternative is obtained by TAIF-GC operator and the collective one is derived through TAIFWA operator. Fuzzy measures of attribute subsets and expert weights are objectively derived through constructing multi-objective optimization model which is transformed into the goal programming model to solve. The system analyst selection example verifies effectiveness of the proposed approach.
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Affiliation(s)
- Jiu-Ying Dong
- School of Statistics, Jiangxi University of Finance and Economics, Nanchang, Jiangxi 330013, China
- Research Center of Applied Statistics, Jiangxi University of Finance and Economics, No. 168, Shuanggang East Street, Nanchang, Jiangxi 330013, China
| | - Li-Lian Lin
- College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, Jiangxi 330013, China
| | - Feng Wang
- College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, Jiangxi 330013, China
| | - Shu-Ping Wan
- College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, Jiangxi 330013, China
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Wan SP, Lin LL, Dong JY. MAGDM based on triangular Atanassov’s intuitionistic fuzzy information aggregation. Neural Comput Appl 2016. [DOI: 10.1007/s00521-016-2196-9] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Wan SP, Dong JY. Power geometric operators of trapezoidal intuitionistic fuzzy numbers and application to multi-attribute group decision making. Appl Soft Comput 2015. [DOI: 10.1016/j.asoc.2014.12.031] [Citation(s) in RCA: 63] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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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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