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http://dx.doi.org/10.5391/IJFIS.2011.11.3.153

Fuzzy Mappings and Fuzzy Equivalence Relations  

Lim, Pyung-Ki (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Choi, Ga-Hee (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.11, no.3, 2011 , pp. 153-164 More about this Journal
Abstract
Equivalence relations and mappings for crisp sets are very well known. This paper attempts an investigation of equivalence relations and mappings for fuzzy sets. We list some concepts and results related to fuzzy relations. We give some examples corresponding to the concept of fuzzy equality and fuzzy mapping introduced by Demirci [1]. In addition, we introduce the notion of preimage and quotient of fuzzy equivalence relations. Finally, we investigate relations between a fuzzy equivalence relation and a fuzzy mapping.
Keywords
fuzzy mapping; fuzzy relation; fuzzy equivalence relation; fuzzy quotient of fuzzy mapping by fuzzy equivalence relation;
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