Characterization of fuzzy preference structures through Łukasiewicz triplets
type: Item
instance of: scholarly article
title: Characterization of fuzzy preference structures through Łukasiewicz triplets
zbMATH Open document ID: 1048.91036
DOI: 10.1016/S0165-0114(02)00386-X
author: Bonifacio Llamazares
published in: Fuzzy Sets and Systems
publication date: 2003-06-09T00:00:00Z
review text: The author characterizes the reconstruction of a fuzzy set from its subsets by means of Łukasiewicz triplets. This result allows to introduce a new definition of a fuzzy strict preference, which is also satisfied in the crips frameworks. (Subsets of a non-empty set of alternatives \(A\), \(| A|> 2\) will be called crisp subsets of \(A\). A crisp binary relation on \(A\) is a crisp subset of \(A\).) The usual definitions of fuzzy indifference and fuzzy incomparability together with this one enable to construct and to characterize fuzzy preference structures from a reflexive binary relation.
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 1924742
zbMATH Keywords: fuzzy relations
zbMATH Keywords: reciprocal order automorphisms
Wikidata QID: Q58341462
MaRDI profile type: Publication
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full work available at URL: s0165-0114(02)00386-x
OpenAlex ID: W1998572170
DBLP publication ID: journals/fss/Llamazares03
description: scientific article; zbMATH DE number 1924742