Representations and constructions of similarity-based fuzzy orderings. (English) Zbl 1052.91032

Bodenhofer, Ulrich

Fuzzy Sets Syst. 137, No. 1, 113-136 (2003).

Summary: This contribution advocates the dissemination of similarity-based fuzzy orderings – a generalized concept of fuzzy orderings which appears to be unavoidable as soon as the classical correspondences between preorderings, equivalence relations, and orderings are taken into account. In contrast to earlier papers on the topic, this paper is focused on representation and construction results which once more demonstrate the feasibility of the proposed concept.

MSC:

91B08

Individual preferences

Keywords:

Fuzzy equivalence relation; Fuzzy preordering

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