Fuzzy decisive set method for solving multiobjective linear programming problem with intuitionistic fuzzy parameters as a new approach

Abstract

In this article, we construct a new computational algorithm for solving multiobjective linear programming problem in intuitionistic fuzzy environment. The resources and technological coefficients are taken to be intuitionistic fuzzy numbers. Here, the intuitionistic fuzzy multi-objective linear programming problem is transformed into an equivalent crisp multi-objective linear programming problem. By using fuzzy mathematical programming approach, the transformed multiobjective linear programming problem is reduced into a single objective nonlinear and non-convex programming problem. Stepwise algorithm is given for solving an intuitionistic fuzzy multiobjective linear programming problem and it is checked with a numerical example using intuitionistic fuzzy decisive set method.