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

Khalifa, Hamiden Abdelwahed

doi:10.22105/jarie.2018.139816.1045

Document Type : Research Paper

Author

Hamiden Abdelwahed Khalifa

Department of Operations Research, Institute of Statistical Studies and Research, Cairo University, Giza, Egypt.

https://doi.org/10.22105/jarie.2018.139816.1045

Abstract

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

Main Subjects

Fuzzy optimization

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Journal of Applied Research on Industrial Engineering

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

References

References

Volume 5, Issue 2
September 2018
Pages 110-121

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

References

References

Volume 5, Issue 2September 2018Pages 110-121

Volume 5, Issue 2
September 2018
Pages 110-121