Type-2 fuzzy sets and their application in decision-making. Implementation

The article continues the first part of the survey related to type-2 fuzzy sets and relations. Various techniques and methods of ordering type-2 fuzzy sets, including those based on pairwise comparisons, are analyzed. The existing approaches to solving multicriteria problems are analyzed, the set of feasible variants of which consists type-2 fuzzy sets. The problem of multicriteria choice with a type-2 fuzzy preference relation is considered, and axioms are given, the acceptance of which guarantees the fulfillment of the Edgeworth-Pareto principle.