Strict fuzzy orderings with a given context of similarity

Ulrich Bodenhofer, Mustafa Demirci

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)147-178
Number of pages32
JournalInternational Journal of Uncertainty, Fuzziness and Knowlege-Based Systems
Volume16
Issue number2
DOIs
Publication statusPublished - Apr 2008
Externally publishedYes

Keywords

  • Fuzzy equivalence relations
  • Fuzzy orderings
  • Fuzzy relations
  • Partial fuzzy orderings
  • Strict fuzzy orderings

Cite this