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.
出处
《模糊系统与数学》
CSCD
北大核心
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)
关键词
模糊集
n维模糊集
截集
n维凸模糊集
Fuzzy Sets
N-dimensional Fuzzy Sets
Cut Sets
N-dimensional Convex Fuzzy Sets
