Multicriteria choice based on interval fuzzy information

We consider a class of multicriteria choice problems in which the preferences of the decision maker are modeled by an interval type-2 fuzzy relation. The basic axioms of ‘reasonable’ choice are formulated. They, in particular, allow us to establish the Edgeworth-Pareto principle for this class of problems. The concept of a quantum of interval fuzzy information is introduced, as well as a consistent set of similar quanta. A criterion for the consistency of a set of quanta is formulated and a scheme for using quanta of interval fuzzy information to reduce the Pareto set is presented. An example is given to illustrate the proposed approach.