Group decision theory with convex combination of fuzzy evaluations

Abstract

A multiple criteria decision making problem involving a discrete set of alternatives A is investigated. Each alternative is characterized by a fuzzy evaluation to a given number of criteria weighted by fuzzy numbers. The classical mean aggregation procedure is exploited in order to (i) isolate the smallest subset (called set of "best" elements) A included in A liable to eliminate all alternatives belonging to o A \ A o (ii) rank the alternatives in various classes (being or not exclusive) using an antisymmetric fuzzy preference graph.