Solving Intuitionistic Fuzzy Linear Programming Problems Using Singularly Perturbed Differential Equations Of Reaction-Diffusion Type

Abstract

In this paper, fully fuzzy linear programming problem under Intuitionistic fuzzy environment is considered and a new approach for solving Intuitionistic Fuzzy Linear Programming Problems with Triangular Intuitionistic fuzzy numbers using Singularly Perturbed Differential Equations of Reaction-Diffusion type is proposed.  The exact solution of Singularly Perturbed Differential Equation is used to derive the decision maker weights and it is applied in solving Fuzzy Linear Programming problems under Intuitionistic fuzzy environment.  A Numerical example is provided to illustrate the proposed approach and to show the efficiency of the proposed approach and finally the solution is compared with the existing approach.