Fuzzy preferences in knowledge-based systems

Abstract

This paper deals with fuzzy preferences. Many different alternative definitions of strict and weak fuzzy preferences can be found in the literature. But most of them do not take into account that fuzzy preferences should allow a complete preference structure, where not only strict and weak preferences are defined, but also indifference and incomparability. The whole preference structure should be built in order to be properly considered as a basis for knowledge based systems. Taking into account a previous work of Montero, we introduce some modifications in the model recently developed by Fodor, Ovchinnikov and Roubens in such a way that consistent fuzzy preference structures are fully characterized.