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http://dx.doi.org/10.5391/IJFIS.2009.9.1.020

FUZZY EQUIVALENCE RELATIONS AND FUZZY FUNCTIONS  

Lee, Keon-Chang (Department of Computer Science, Dongshin University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.9, no.1, 2009 , pp. 20-29 More about this Journal
Abstract
In this paper, by using the definition of fuzzy equivalence relations introduced by Dib and Youssef, we obtain fuzzy analogues of many results concerning ordinary equivalence relations. Moreover, we investigate fuzzy analogues of many results concerning relationships between ordinary equivalence relations and ordinary functions. In particular, we obtain the fuzzy-canonical decomposition of a fuzzy function.
Keywords
fuzzy Cartesian product; fuzzy relation; fuzzy equivalence relation; fuzzy cutting; fuzzy equivalence class; fuzzy partition;
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