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 / Bevilacqua, Paolo; Bosi, Gianni; 3, Magalì Zuanon. - In: AXIOMS. - ISSN 2075-1680. - STAMPA. - 6:4(2017), pp. 1-10. [10.3390/axioms6040029]
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.File in questo prodotto:
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