Multi-objective optimization with a max- [formula omitted]-norm fuzzy relational equation constraint

Abstract

In this paper, we consider minimizing multiple linear objective functions under a max- t -norm fuzzy relational equation constraint. Since the feasible domain of a max–Archimedean t -norm relational equation constraint is generally nonconvex, traditional mathematical programming techniques may have difficulty in yielding efficient solutions for such problems. In this paper, we apply the two-phase approach, utilizing the min operator and the average operator to aggregate those objectives, to yield an efficient solution. A numerical example is provided to illustrate the procedure.