DEFINING FUZZY COVERING RELATIONS FOR DECISION AID

The aim of this paper is to show how multivalued logics underlying fuzzy sets theories allow some concepts and properties used in decision aid procedures to be extended. In particular, some procedures based on the use of a conventional covering relation are presented and generalized to the fuzzy case. The main interest of these procedures is their ability to build transitive preference structures from intransitive pairwise comparisons of objects. This typical feature should be useful not only to rank fuzzy numbers or to discriminate between the alternatives of a decision problem, but also to classify multidimensional objects.