Algorithm for Pareto set reduction using fuzzy information on the DM preference relation

A model of multicriteria choice including a set of possible variants, numerical vector criterion, and a fuzzy preference relation of a decision maker (DM) is considered. The problem of multicriteria choices is to select one or several variants from the Pareto set, i.e. to reduce this set. Axiomatic approach to this problem is adopted. In this paper, we consider an algorithm for reducing the Pareto set based on an arbitrary finite collection of fuzzy information quanta on the DM preference relation.