A compendium of fuzzy weak orders: Representations and constructions

Ulrich Bodenhofer, Bernard De Baets, János Fodor

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

83 Zitate (Scopus)

Abstract

The present paper gives a state-of-the-art overview of representation and construction results for fuzzy weak orders. We do not assume that the underlying domain is finite. Instead, we concentrate on results that hold in the most general case that the underlying domain is possibly infinite. This paper presents three fundamental representation results, each of which also provides a construction method: (i) score function-based representations, (ii) inclusion-based representations, (iii) representations by decomposition into crisp linear orders and fuzzy equivalence relations, which also facilitates a pseudo-metric-based construction.

OriginalspracheEnglisch
Seiten (von - bis)811-829
Seitenumfang19
FachzeitschriftFuzzy Sets and Systems
Jahrgang158
Ausgabenummer8
DOIs
PublikationsstatusVeröffentlicht - 16 Apr. 2007
Extern publiziertJa

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