A model for solving fuzzy multiple-objective problems usingsatisfying optimization method

This paper proposes a satisfying optimization method for fuzzy multiple objective optimization problem. The aim of this presented approach is to make the more important objective achieving the higher desirable satisfying degree. In practice, vagueness and imprecision of the goals, constraints and parameters in this problem make the decision-making complicated. For different fuzzy relations and fuzzy importance, the reformulated optimization models based on goal programming is proposed. Not only the satisfying results of all the objectives can be acquired, but also the fuzzy importance requirement can be simultaneously actualized. A numerical example is given to illustrate how the model is applied. Finally, the conclusions and recommendations are presented.

Keywords:

Goal programming , Multiple- objective optimization , Relative importance , Satisfyingoptimization