A Methodology for Solving Fuzzy Linear Programming Problem as a Fuzzy Linear Complementarity Problem

Abstract

In this paper, the linear complementarity problem with Fuzzy parameters is discussed. The Linear Programming Problem can be transformed into a Linear Complementarity Problem. The Maximum Index method is used to solve the converted Linear programming problem. The maximum index method has been introduced as a potential approach for identifying a complementarity feasible solution to the Linear Complementarity Problem. The fuzzy arithmetic operations are utilized for the triangular fuzzy numbers. A real-life example has been provided to demonstrate the suggested approach.