Bi-matrix Games with Payoffs of Intuitionistic Fuzzy Sets and Bilinear Programming Method

Author(s):  
Deng-Feng Li
2021 ◽  
Author(s):  
Deeba Naqvi ◽  
Rajkumar Verma ◽  
Abha Aggarwal ◽  
Geeta Sachdev

Abstract In real-life decision-making challenges, experts quite frequently have a preference for expressing their perspective in natural linguistic terms rather than definite numerical format. These linguistic representation has been utilized to resolve plenty of decision-making problems. This paper displays the thorough study of matrix games where in the payoffs are characterized through linguistic interval-valued intuitionistic fuzzy sets (LIVIFSs). Solution of these matrix games are attained by resolving a duo of linear or nonlinear programming problems, originated through non-linear bi-objective programming problems. Finally, a numerical example is used to demonstrate the applicability of the suggested approach.


2019 ◽  
Vol 10 (3) ◽  
pp. 445-453
Author(s):  
R. Nagalingam ◽  
S. Rajaram

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