直觉模糊集合的基本定理  

The Basic Theorem of Intuitionstic Fuzzy Sets

作　　者：王艳平[1] 盖如栋[1] 

机构地区：[1]辽宁工学院数 数理科学系,辽宁锦州121001

出　　处：《辽宁工程技术大学学报（自然科学版）》2001年第5期607-608,共2页Journal of Liaoning Technical University (Natural Science)

摘　　要：直觉模糊集合是模糊集合的扩充，而模糊集合是经典集合的扩充，因此直觉模糊集合与经典集合也有着密切的关系。表现直觉模糊集合与经典集合关系的是直觉模糊集合的分解定理与表现定理。本文在 K.Atanassov 引进直觉模糊集的基础上，给出它的分解定理、表现定理。从而使模糊集合的基本定理得到进一步的推广。Intuitionstic fuzzy sets are extrapolation of fuzzy sets, and fuzzy sets are extrapolation of classic sets, hence between intuitionstic fuzzy sets and classic sets have close ralation. This ralation is represented by decomposition theorem and representation theorem of intuitionstic fuzzy sets. On the basis of the intuitionistic fuzzy sets being introduced by K.Atanassov, we give its decomposition theorem and representation theorem in this paper, And the basic theorem of fuzzy sets is extend in this paper.

关 键 词：直觉模糊集合 分解定理 表现定理 经典集合 

分 类 号：O159[理学—数学]