Representations of the extensions of many-valued equivalence relations

Authors:
Mustafa Demirci
Affiliations:
Akdeniz University, Faculty of Sciences and Arts, Department of Mathematics, 07058-Antalya, Turkey
Venue:
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Year:
2003

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Abstract

Two fundamental questions on the extensions of many-valued equivalence relations, whose solutions have a crucial concern for the applications of many-valued equivalence relations, are explicitly stated to characterize the extensions of many-valued equivalence relations. Thereafter introducing the satisfactory solutions of these questions, the desirable characterizations of the extensions of many-valued equivalence relations are pointed out.