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Existence of Order-Preserving Functions for Nontotal Fuzzy Preference Relations under Decisiveness

Existence of order-preserving functions for nontotal fuzzy preference relations under decisiveness
Authors: Paolo Bevilacqua; Gianni Bosi; Magalì E. Zuanon;

Existence of Order-Preserving Functions for Nontotal Fuzzy Preference Relations under Decisiveness

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

Reasoning under uncertainty in the context of artificial intelligence, Decision theory, order-preserving function, maximal element, fuzzy binary relation, fuzzy Suzumura consistency, QA1-939, fuzzy binary relation, fuzzy Suzumura consistency, order-preserving function, maximal element, Theory of fuzzy sets, etc., Mathematics

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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!
1
Average
Average
Average
Green
gold