Orderings of fuzzy sets based on fuzzy orderings Part II: generalizations

Ulrich Bodenhofer

Research output: Contribution to journalArticlepeer-review

Abstract

In Part I of this series of papers, a general approach for ordering fuzzy sets with respect to fuzzy orderings was presented. Part I also highlighted three limitations of this approach. The present paper addresses these limitations and proposes solutions for overcoming them. We first consider a fuzzification of the ordering relation, then ways to compare fuzzy sets with different heights, and finally we introduce how to refine the ordering relation by lexicographic hybridization with a different ordering method.
Original languageEnglish
Pages (from-to)219-249
Number of pages31
JournalMathware and Soft Computing
Volume15
Issue number3
Publication statusPublished - 2008

Fields of science

  • 101004 Biomathematics
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  • 101031 Approximation theory

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