Title: Solution of interval-valued matrix games using intuitionistic fuzzy optimisation technique: an effective approach

Authors: Mijanur Rahaman Seikh; Shibaji Dutta

Addresses: Department of Mathematics, Kazi Nazrul University, Asansol-713340, India ' Department of Mathematics, Kazi Nazrul University, Asansol-713340, India

Abstract: In most of the cases in the real world scenario, there are many situations where the payoffs of a matrix game may vary within specific ranges and may be considered as interval numbers. In this paper, we developed an effective solution concept of the interval-valued matrix game using intuitionistic fuzzy optimisation technique (IFOT) with nonlinear membership and non-membership functions. In this proposed approach, we first convert the formulated game problem into a deterministic model by splitting the single interval type objective function into multi-objective functions. Then, IFOT with nonlinear membership and non-membership functions is used to solve the reduced model. Finally, we consider one numerical example to illustrate the methodology. A comparative study implies the fact that the proposed approach gives a better result and is more effective than the results obtained previously by the existing methods.

Keywords: matrix game? interval number? intuitionistic fuzzy optimisation technique? multi-objective optimisation.

DOI: 10.1504/IJMOR.2021.119951

International Journal of Mathematics in Operational Research, 2021 Vol.20 No.3, pp.297 - 322

Received: 25 Feb 2020
Accepted: 31 Jul 2020
Published online: 04 Jan 2022 *

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