A New Solution Methodology for Matrix Games with Multiple Experts in Interval-Valued q -Rung Orthopair Fuzzy Environment

By : Deeba R. Naqvi, Rajkumar Verma, Geeta Sachdev

Page No: 45-77

Abstract
In practical decision-making scenarios, involving groups, such as communities, assemblies, or committees, is common. These groups collaborate to achieve collective goals, but reaching a consensus can be intricate due to conflicting information presented by various members. The complexity introduced by divergent viewpoints makes it challenging to ascertain the optimal outcome within a group decision-making framework. In response to these challenges, this paper introduces an innovative methodology for addressing two-player zero-sum matrix games with payoffs represented by Interval-Valued q-Rung Orthopair Fuzzy numbers, taking into account the insights provided by multiple experts. To navigate the intricacies of this class of matrix games, the paper proposes an aggregation approach designed to fuse the diverse payoff matrices contributed by the experts. This aggregated matrix then serves as the foundation for establishing a two-player zero-sum Interval-Valued q-Rung Orthopair Fuzzy (IVq-ROF) matrix game. This matrix game framework is instrumental in determining optimal strategies for the players involved, offering a practical solution to the complexities introduced by multiple experts and conflicting information. The proposed methodology is further elucidated through a numerical example, effectively illustrating its application in real-world scenarios. The paper conducts validity tests and a comparative investigation, highlighting the advantages of the suggested approach over existing methods, particularly in addressing the challenges of complex competitive scenarios in the real world. Overall, this innovative solution methodology stands as apromising contribution to enhancing group decision-making processes, offering a robust framework to handle conflicting information and derive optimal outcomes in challenging real-world contexts. 
 

Authors :
Deeba R. Naqvi : Department of Applied Sciences, Maharaja Surajmal Institute of Technology, C-4 Janakpuri, New Delhi, And India Department of Applied Sciences and Humanities, Indira Gandhi Delhi Technical University for Women, Kashmere Gate, New Delhi, India 
Rajkumar Verma : Instituto de Investigación Interdisciplinaria, Universidad de Talca, Talca, And Chile School of Economics and Business, Universidad de Talca, Talca, Chile 
Geeta Sachdev : Department of Applied Sciences and Humanities, Indira Gandhi Delhi Technical University for Women, Kashmere Gate, New Delhi-110006, India 
 

DOI: https://doi.org/10.32381/JCISS.2022.47.1-4.5