On solutions of fuzzy multi-objective programming problems through weighted coefficients in two-Phase approach

In this paper, a Fuzzy Multi-Objective Linear Programming (FMOLP) problem having both objective functions and constraints fuzzy parameters is introduced. Theses fuzzy parameters are characterized by trapezoidal fuzzy numbers. The FMOLP problem is converted into the corresponding deterministic MOLP problem through the use of intervals arithmetic operations. Then, a two-phase approach having equal weighted coefficients is proposed to generate an efficient solution for the MOLP problem. The major advantage of the new model is that the proposed approach as long as the weighted coefficients not necessarily equal and generates an efficient solution. A numerical example is given to clarify the obtained results.  

Keywords:

Multi-Objective Programming Problems , Fuzzy Parameters , Fuzzy Numbers , Efficient Solution , Two-Phase Approach , Compromise Index