Representations and constructions of similarity-based fuzzy orderings

Authors:
Ulrich Bodenhofer
Affiliations:
Software Competence Center Hagenberg GmbH, Hauptstrasse 99, A-4232 Hagenberg, Austria
Venue:
Fuzzy Sets and Systems - Special issue: Preference modelling and applications
Year:
2003

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Abstract

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.