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

Journal of Applied Research on Industrial Engineering

Hamiden Abdelwahed Khalifa¹ 

[1] Department of Operations Research, Institute of Statistical Studies and Research, Cairo University, Giza, Egypt.;

关键词: multi-objective programming problems;    fuzzy parameters;    fuzzy numbers;    efficient solution;    two-phase approach;    compromise index;   

DOI  :  10.22105/JARIE.2018.139816.1045

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown