摘要
主要讨论模糊等价关系在任意阈值的情况下对应的商空间,以及如何在不同阈值对应的商空间之间分层递阶构建归一化等腰距离函数,得到分层递阶的商空间结构,并讨论模糊等价关系的运算(交、并)与商空间的合成之间的关系.
In this paper, the fuzzy quotient space theory for the cut-relation of fuzzy equivalence relation with any threshold is discussed. A method is proposed for hierarchically constructing normalized isosceles distance function between different quotient spaces. And a hierarchical structure of fuzzy quotient space is constructed. The relation between the operations （intersection and combination ）of fuzzy equivalence relation and the synthesis of quotient spaces is discussed.
出处
《模式识别与人工智能》
EI
CSCD
北大核心
2008年第5期627-634,共8页
Pattern Recognition and Artificial Intelligence
基金
国家自然科学基金资助项目(No.60573068,60773113)
关键词
粒计算
商空间
模糊集
等价关系
阈值
Granular Computing, Quotient Space, Fuzzy Sets, Equivalence Relation, Threshold
