A new method to solve intuitionistic fuzzy matrix game based on the evaluation of different experts

Article type: Research Article

Authors: Namarta, ^{a; *} | Kaur, Parmpreet^a | Gupta, Umesh Chandra^b

Affiliations: [a] Department of Mathematics, GSSDGS Khalsa College, Patiala, Punjab, India | [b] Department of Mathematics, Shivalik College ofEngineering, Dehradun, India

Correspondence: [*] Corresponding author. Namarta, Ph.D Scholar, UTU Dehradun and Assistant Professor in PG Department of Mathematics, GSSDGS Khalsa College, Patiala-147001, Punjab, India. E-mail: namartakcpta@gmail.com.

Abstract: In the word of uncertain competitive situations everything is in the state of flux. Under such situations knowing the exact outcomes of mixed strategies adopted by a player is nearly impossible. It is highly rational to assume that no two experts will project the similar fuzzy payoffs for mix of strategies used. Aggregation of expert’s judgement becomes utmost important before solving such competitive situations. Considering this the present paper proposes a method to solve intuitionistic fuzzy game problems by using aggregation operators on payoff judgments of more than one expert. The proposed method significantly adds to the existing literature by overcoming the limitation of Li’s existing method that considers only one expert’s opinion for solving intuitionistic fuzzy game problems. Illustrative example has been given for showing the superiority of the proposed method.

Keywords: Aggregation operators, intuitionistic fuzzy sets, fuzzy matrix game

DOI: 10.3233/JIFS-202232

Journal: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 2, pp. 2665-2674, 2021