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模糊集合类的可测结构
The Measurable Structure of the Class of Fuzzy Sets
【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。
【Abstract】 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;
【Key words】 fuzzy sets; fuzzy rings; fuzzy monotony classes; fuzzy rectangular;
【Key words】 fuzzy sets; fuzzy rings; fuzzy monotony classes; fuzzy rectangular;
【基金】 辽宁省教委攀登计划项目(20161049)
- 【文献出处】 河北科技大学学报 ,Journal of Hebei University of Science and Technology , 编辑部邮箱 ,2003年03期
- 【分类号】O159
- 【下载频次】16