The Edgeworth–Pareto principle in the case of a 2-type fuzzy preference relation summary

The Edgeworth–Pareto principle is extended to the class of multicriteria choice problems, in which the preference relation of the decision maker is described by a fuzzy binary relation of the type 2. The necessary condition for its fulfillment is the adoption of two assumptions – Pareto axiom and axiom of exclusion of dominant variants. Brief information about fuzzy sets and relations of types 1 and 2 precedes the main results of the paper. In order to justify the Edgeworth–Pareto principle a fuzzy set of nondominated variants is introduced in the case of a 2-type fuzzy preference relation.