随机模糊优化问题合适解的存在性

The Existance of Suitabe Solution of Random Fuzzy Optimal Design

本文讨论了随机模糊优化问题合适解的存在性,指出了两种影响合适解存在的情况,并建议了一种调整合适解存在性的办法.当随机模糊优化问题是一个凸模糊优化问题时,本文还根据凸模糊集合分离度的概念,讨论了对目标和约束的最大合适度要求的存在性,及对目标和约束同时具有最大的合适度要求的存在性.

The existance of suitable solution of random fuzzy optimal design is discussedin this paper.Two cases which influence the existance of suitable solution are pointedout,and a method of adjusting this situation is suggested.When the randomfuzzy optimization is a convex optimization,according to the concept of separationdegree of convex fuzzy sets,this paper also discusses the existance of the maximumrequirement for the satisfactory degrees of objective and its constraint individually,aswell as simultaneously.