Montero, JavierTejada Cazorla, Juan Antonio2023-06-202023-06-201988-040165-011410.1016/0165-0114(88)90010-3https://hdl.handle.net/20.500.14352/57459In a previous paper [2], the authors proved that a property of ‘acyclity’ in fuzzy preference relations was anecessary and sufficientcondition for the existence of unfuzzy nondominated alternatives when such aset of alternatives is finite. In this paper, a general property of ‘foundation’ is proved to be anecessary and sufficientcondition, without requiring finiteness on the set of alternatives. Both concepts are based on classical results in crisp binary relations.engA necessary and sufficient condition for the existence of Orlovsky's choice setjournal articlehttp://www.sciencedirect.com/science/article/pii/0165011488900103http://www.sciencedirect.comrestricted access519.22Decision-makingRelationsNondominated alternativesEstadística matemática (Matemáticas)1209 Estadística