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Archivio istituzionale della ricerca - Università di Trieste
Article . 2017
License: CC BY
Full-Text: https://arts.units.it/bitstream/11368/2913910/1/axioms-06-00029.pdf
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ArTS - Archivio della ricerca dell' Università degli Studi di Trieste
Article . 2017
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Existence of order-preserving functions for nontotal fuzzy preorders

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017 Italy English
Authors: Paolo Bevilacqua; Gianni Bosi; Magalì Zuanon 3;

handle: 11368/2913910

Existence of order-preserving functions for nontotal fuzzy preorders

Abstract

Looking at decisiveness as crucial, we discuss the existence of an order-preserving function for the nontotal crisp preference relation naturally associated to a nontotal fuzzy preference relation. We further present conditions for the existence of an upper semicontinuous order-preserving function for a fuzzy binary relation on a crisp topological space.

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Italy
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Keywords

fuzzy binary relation, fuzzy Suzumura consistency, order-preserving function, fuzzy binary relation; fuzzy Suzumura consistency, order-preserving function; maximal element, maximal element

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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