Date: 27 May 2005

Fuzzy preferences in decision-making

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In this paper, Orlovsky's concept of decision making with fuzzy preference relation is studied. On the one hand, the special significance of max-min transitivity inside the family of max-⋆ transitivities is stablished. On the other hand, a necessary and sufficient condition for the existence of a non empty set of unfuzzy nondominated alternatives is proved. Moreover, other alternative methods are proposed in order to solve some practical difficulties.