n维模糊集的截集及其表示  

The Cut Sets on n-dimensional Fuzzy Sets and Their Representations

作　　者：张成[1] 周亮[1] 裴炳南[1] 

机构地区：[1]大连大学信息工程学院,辽宁大连116622

出　　处：《模糊系统与数学》2014年第3期97-102,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(60971107)

摘　　要：在已有的n维模糊集和n维模糊集截集的概念基础上,发展出一种新的n维模糊集截集定义及其表示方法,并研究了n维模糊集截集的基本性质;同时结合模糊集的分解定理和表现定理,建立了n维模糊集的分解定理和表现定理。最后,应用该理论对n维模糊集的凸性问题进行了初步的研究和讨论。Based on the previous concepts and the cuts of n-dimensional fuzzy sets, a new one of the cut sets on n-dimensional fuzzy sets and their representations are introduced, corresponding properties are studied. Meanwhile, the decomposition theorems and the representation theorems of the n-dimensional fuzzy sets are established by use corresponding theorems of the fuzzy sets. Finally, we discuss the convexity of the n-dimensional fuzzy sets.

关 键 词：模糊集 n维模糊集 截集 n维凸模糊集 

分 类 号：O159[理学—数学]