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Characterization of fuzzy preference structures through Łukasiewicz triplets

✍ Scribed by Bonifacio Llamazares

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
278 KB
Volume
136
Category
Article
ISSN
0165-0114

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✦ Synopsis

In this paper we characterize the reconstruction of a fuzzy set from its subsets by means of Lukasiewicz triplets. This result allows us to introduce a new deÿnition of fuzzy strict preference, which is also satisÿed in the crisp framework. The usual deÿnitions of fuzzy indi erence and fuzzy incomparability together with this one enable to construct and to characterize fuzzy preference structures from a re exive fuzzy binary relation.

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