• International Journal of Fuzzy Logic and Intelligent Systems
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• v.11 no.3
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• pp.153-164
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• 2011

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.

• Journal of the Korean Institute of Intelligent Systems
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• v.11 no.6
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• pp.532-537
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• 2001

In this paper we introduce the concept of fuzzy quotient spaces as the new ways and investigate their some properties.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2001.12a
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• pp.332-336
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• 2001

In this paper, we introduce the concept of fuzzy quotient spaces as the new ways and investigate their some properties.