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.

Existence of order-preserving functions for nontotal fuzzy preorders

Paolo Bevilacqua;Gianni Bosi;
2017-01-01

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.
2017
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2913910
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