Fuzzy preorders: conditional extensions, extensions and their representations

José Alcantud () and S. Díaz ()
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S. Díaz: University of Oviedo

Fuzzy Optimization and Decision Making, 2016, vol. 15, issue 4, No 1, 396 pages

Abstract: Abstract The crisp literature provides characterizations of the preorders that admit a total preorder extension when some pairwise order comparisons are imposed on the extended relation. It is also known that every preorder is the intersection of a collection of total preorders. In this contribution we generalize both approaches to the fuzzy case. We appeal to a construction for deriving the strict preference and the indifference relations from a weak preference relation, that allows to obtain full characterizations in the conditional extension problem. This improves the performance of the construction via generators studied earlier.

Keywords: Fuzzy relation; Transitivity; Acyclicity; Consistency; Extension; Indicator (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10700-016-9230-3

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