Hierarchical Structure Analysis of Fuzzy Quotient Space
ZHANG Qing-Hua, WANG Guo-Yin, LIU Xian-Quan
School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031 Institute of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065
Abstract：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.
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2008, Vol. 21 
