Duality of optimization problems with generalized fuzzy relation equation and inequality constraints

作者：Gavalec Martin; Zimmermann Karel^*

来源：Information Sciences, 2013, 234: 64-70.

DOI：10.1016/j.ins.2011.04.019

• Fuzzy relational equations and inequalities
• Max-separable optimization problems
• Non-convex optimization

A generalization of fuzzy relation equations and inequalities is introduced. An explicit method for solving optimization problems, the feasible set of which is described by a system of generalized fuzzy relation equations and inequalities, is considered. The objective function of the problems is equal to the maximum of continuous increasing functions of one variable. A duality concept for such problems is proposed. The problems are considered in a finitely dimensional space.

• 出版日期2013-6-10