半E-预不变凸模糊数值函数的判定

Semi-E-preinvex Fuzzy-valued Functions Judge Theorems

模糊凸性和模糊广义凸性在模糊数学中起着非常重要的作用。并且模糊数值函数是模糊分析学的重要组成部分,对它的研究在模糊数学的发展中有着举足轻重的地位。本文在模糊分析学的基础上进一步推广预不变凸模糊数值函数,利用新定义的模糊数值函数上、下半连续性,在一种新序意义下讨论了半E-预不变凸模糊数值函数的若干判定定理。

Fuzzy convexity and fuzzy generalized convexity play a very important role in fuzzy optimization theory. Fuzzy-valued func- tions is important parts of Fuzzy analysis, Research on it has holds an important place in the development of fuzzy mathematics. In this paper, on the basis of fuzzy analysis further promote constant convex fuzzy-valued function. This paper based on the ordering of new fuzzy numbers proposed by Goetschel, the definition of upper （lower） semicontinuity of fuzzy-valued function is given, and some judge theorems are obtained.