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Existence of order-preserving functions for nontotal fuzzy preference relations under decisiveness - MaRDI portal

Existence of order-preserving functions for nontotal fuzzy preference relations under decisiveness (Q2275140)

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Existence of order-preserving functions for nontotal fuzzy preference relations under decisiveness
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    Existence of order-preserving functions for nontotal fuzzy preference relations under decisiveness (English)
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    2 October 2019
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    Summary: 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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    fuzzy binary relation
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    fuzzy Suzumura consistency
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    order-preserving function
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    maximal element
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