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A necessary and sufficient condition for the existence of Orlovsky's choice set

Impacto

Montero de Juan, Francisco Javier and Tejada Cazorla, Juan Antonio (1988) A necessary and sufficient condition for the existence of Orlovsky's choice set. Fuzzy Sets and Systems, 26 (1). pp. 121-125. ISSN 0165-0114

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Official URL: http://www.sciencedirect.com/science/article/pii/0165011488900103




Abstract

In 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.


Item Type:Article
Uncontrolled Keywords:Decision-making; Relations; Nondominated alternatives
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:15987
Deposited On:18 Jul 2012 08:54
Last Modified:04 May 2015 10:35

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