模糊集合类的可测结构  

The Measurable Structure of the Class of Fuzzy Sets

作　　者：刘晓刚[1] 苏连青[2] 

机构地区：[1]锦州师范学院数学系,辽宁锦州121003 [2]河北科技大学理学院,河北石家庄050018

出　　处：《河北科技大学学报》2003年第3期84-86,F003,共4页Journal of Hebei University of Science and Technology

基　　金：辽宁省教委攀登计划项目(20161049)

摘　　要：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.

关 键 词：模糊集 模糊环 模糊单调类 模糊矩形 模糊集合类 可测结构 代数结构 乘积定理 

分 类 号：O159[理学—数学]