C-模糊拓扑空间及其应用  

The Theory of C-fuzzy Topology and Its Application

作　　者：马振明[1] 

机构地区：[1]临沂师范学院数学系,山东临沂276005

出　　处：《临沂师范学院学报》2009年第3期22-25,共4页Journal of Linyi Teachers' College

基　　金：山东省自然科学基金(2004ZX13)资助

摘　　要：在C-模糊集合的基础上引入新模糊论域以及其上的C-模糊拓扑空间的概念,研究了C-模糊拓扑空间与通常拓扑空间类似的性质;指出C-模糊拓扑是Chang模糊拓扑的有益推广,给出了Chang模糊拓扑的若干刻画.In this paper, we introduce the concepts of C-fuzzy universal set and C-fuzzy topology space based on C-fuzzy universal set, and obtain some properties of C-fuzzy topology space similar to those of classical topology space. We point out that C-fuzzy topology space is a generalization of Chang fuzzy topology space, and get some characterizations of Chang＇s by C-fuzzy topology space. Especially, we indicate that the definition of the complement of Zadeh＇s fuzzy set is unreasonable by the theory of C-fuzzy topology space.

关 键 词：C-模糊集合 模糊拓扑 C-模糊点 C-模糊内部 模糊论域 

分 类 号：O189.11[理学—数学]