An Extension of Scalarization-Based Approach to Fuzzy Multiple Objective Linear Programming with Fuzzy Parameters

Abstract

This paper focuses on fuzzy multiple objective linear programming (FMOLP) problems with fuzzy parameters in objective functions. Based on the results of fuzzy linear programming (FLP) proposed by Zhang et al, this paper firstly proposes related definitions and concepts about FMOLP problems with fuzzy parameters. It then extends scalarization-based approach for converting a FMOLP problem into a crisp programming problem, and uses the extended approach to solve the original FMOLP problem. Finally, an example is presented for demonstrating the proposed approach.