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| 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 |
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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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Received: 01 June 2007
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2008, Vol. 21 
