模糊集合类的可测结构

The Measurable Structure of the Class of Fuzzy Sets

为了深入讨论模糊集合类的代数结构,引入了弱诱导的模糊环和模糊σ-环的概念,讨论了它们与经典的环与σ-环之间的关系,定义了模糊矩形的概念,进而证明了模糊环的乘积定理。

For discussing the algebra structure of the class of fuzzy sets , the notions of weak revulsive fuzzy rings and weak revulsive σ-rings are introduced,and the relations among them and the classical rings and σ-rings are discussed. By defining the concept of fuzzy rectangular,the product theorem of fuzzy rings is proved.