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STRICT FUZZY ORDERINGS WITH A GIVEN CONTEXT OF SIMILARITY

ULRICH BODENHOFER

Institute of Bioinformatics, Johannes Kepler University Linz, 4040 Linz, Austria

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and

MUSTAFA DEMIRCI

Department of Mathematics, Faculty of Sciences and Arts, Akdeniz University, 07058 Antalya, Turkey

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https://doi.org/10.1142/S021848850800511XCited by:15 (Source: Crossref)

Abstract

This paper introduces strict fuzzy orderings in the framework of similarity-based fuzzy orderings, i.e. where a context of similarity/indistinguishability is given by means of a fuzzy equivalence relation. We consider how to construct strict fuzzy orderings from partial fuzzy orderings and vice versa. The appropriateness of the concepts introduced in this paper is underlined by theoretical results and examples. We observe that the strongest results are achieved if the underlying triangular norm induces an involutive residual negation.

Keywords:

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