The multicriteria choice problem is considered, which includes a set of feasible alternatives, a vector criterion defined on this set and a fuzzy preference relation of the decision maker. It is assumed that this relation is an interval type-2 fuzzy relation. For this problem, a set of nondominated alternatives is introduced, certain axioms of reasonable behavior of a decision maker in the decision-making process are formulated, and the Edgeworth-Pareto principle is established, according to which the best choice should be made only within the Pareto set.