Fuzzy goal programming approach for solving fuzzy multi-objective stochastic linear programming problem

EasyChair Preprint 1050

Abstract

This paper deals with the multi-objective chance constrained programming, where the right hand side of the constraints are normally distributed and the objective functions with fuzzy numbers coefficients. A fuzzy goal programming approach is developed for the corresponding deterministic problem by defining membership values and aspiration levels. The advantage of the proposed approach is the decision-maker's role only in estimating the efficient solution to avoid or at least limit the influences of his/ her knowledge incomplete about the studied problem. A numerical example is given in the utility of the paper to illustrate the applied and the efficiency of the approach.

Keyphrases: Constrained programming, Fuzzy programming, Goal Programming, Joint probability distribution, chance-constrained programming, fuzzy numbers, multi-objective, normal distribution

@booklet{EasyChair:1050,
  author    = {Mahmoud Masoud and H. A. Khalifa and Shi Qiang Liu and Mohammed Elhenawy and Peng Wu},
  title     = {Fuzzy goal programming approach for solving fuzzy multi-objective stochastic linear programming problem},
  howpublished = {EasyChair Preprint 1050},
  year      = {EasyChair, 2019}}