On matrix games with 2-tuple intuitionistic fuzzy linguistic payoffs

被引:0
作者
Verma, R. [1 ]
Aggarwal, A. [2 ]
机构
[1] Univ Chile, Dept Management Control & Informat Syst, Av Diagonal Paraguay 257, Santiago 8330015, Chile
[2] Guru Gobind Singh Indraprastha Univ Delhi, Univ Sch Basic & Appl Sci, Delhi, India
来源
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2021年 / 18卷 / 04期
关键词
Matrix game; linguistic variables; 2-tuple linguistic model; 2-tuple intuitionistic fuzzy linguistic set; non-linear optimization; GROUP DECISION-MAKING; AGGREGATION OPERATORS; PROGRAMMING APPROACH; SETS; GOALS; INFORMATION;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In real-world decision-making problems, experts often prefer to express their views, regarding problem parameters, in a natural language rather than precise numerical form. Linguistic representation models have been widely used to solve many decision-making problems with qualitative information. Game theory has been found successful applications in a wide range of areas. This paper presents an extensive study of matrix games with qualitative payoffs. The work uses 2-tuple intuitionistic fuzzy linguistic values (2-TIFLVs) to represent the payoffs of the matrix game. We develop the mathematical formulation and concepts of the solutions for matrix games with payoffs represented by 2-TIFLVs. Paper also shows that matrix games with payoffs of 2-TIFLVs have solutions that can be obtained by transforming the matrix game in a pair of linear/nonlinear programming problems. Finally, a real-life numerical is given to illustrate the developed method.
引用
收藏
页码:149 / 167
页数:19
相关论文
共 66 条
[31]   On characterization of equilibrium strategy of two-person zero-sum games with fuzzy payoffs [J].
Maeda, T .
FUZZY SETS AND SYSTEMS, 2003, 139 (02) :283-296
[32]   STUDY ON DIVERGENCE MEASURES FOR INTUITIONISTIC FUZZY SETS AND ITS APPLICATION IN MEDICAL DIAGNOSIS [J].
Maheshwari, Shikha ;
Srivastava, Amit .
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2016, 6 (03) :772-789
[33]   An overview on the 2-tuple linguistic model for computing with words in decision making: Extensions, applications and challenges [J].
Martinez, L. ;
Herrera, F. .
INFORMATION SCIENCES, 2012, 207 :1-18
[34]   Image segmentation using Atanassov's intuitionistic fuzzy sets [J].
Melo-Pinto, Pedro ;
Couto, Pedro ;
Bustince, Humberto ;
Barrenechea, Edurne ;
Pagola, Miguel ;
Fernandez, Javier .
EXPERT SYSTEMS WITH APPLICATIONS, 2013, 40 (01) :15-26
[35]   Linear programming approach to matrix games with intuitionistic fuzzy goals [J].
Nan, Jiang-Xia ;
Li, Deng-Feng .
INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2013, 6 (01) :186-197
[36]   Solving I-fuzzy two person zero-sum matrix games: Tanaka and Asai approach [J].
Naqvi, Deeba ;
Aggarwal, Abha ;
Sachdev, Geeta ;
Khan, Imran .
GRANULAR COMPUTING, 2021, 6 (02) :399-409
[37]  
Neumann J.v., 1947, Theory of Games and Economic Behavior
[38]   An intuitionistic fuzzy clustering algorithm based on a new correlation coefficient with application in medical diagnosis [J].
Nguyen Xuan Thao ;
Ali, Mumtaz ;
Smarandache, Florentin .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (01) :189-198
[39]   2-tuple linguistic Muirhead mean operators for multiple attribute group decision making and its application to supplier selection [J].
Qin, Jindong ;
Liu, Xinwang .
KYBERNETES, 2016, 45 (01) :2-29
[40]   MAX-MIN SOLUTIONS FOR FUZZY MULTIOBJECTIVE MATRIX GAMES [J].
SAKAWA, M ;
NISHIZAKI, I .
FUZZY SETS AND SYSTEMS, 1994, 67 (01) :53-69