A study on matrix game in q-rung interval valued orthopair fuzzy sets environment with real life applications

Abstract

When expressing uncertain parameters or partly known variables that include dual layer information, the IVq-ROFS (Interval Valued q-rung orthopair fuzzy set)is a suitable extension of the crisp interval. Players of a matrix game sometimes find themselves in circumstances where they are unable to determine their pay-offs using fuzzy sets, intuitive fuzzy sets, or regular intervals. An useful tool for dealing with such circumstances is the (IV q-rung onhopair fuzzy set). This work studies solution approaches to solve such a game and discusses matrix games with IVq-ROFS pay-offs. In the this method, two auxiliary linear programming problems have been created with IV q-rung orthopair fuzzy set coefficients for the players. Then IV q-rung orthopair fuzzy set are used to divide each of the two auxiliary programming problems into two LPPIFCs. The last step is to generate two traditional linear programming problems (LPPs) from each LPPIFC and solve them. The findings of a case study on the market share issue for laptops, mobiles and watch companies are contrasted and examined with an existing technique to demonstrate the applicability of the suggested methodologies. Key Words: q-rung interval valued set, game theory, linear programming.