Abstract:
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.
Citation:
O. V. Baskov, V. D. Nogin, “Type-2 fuzzy sets and their application in decision-making. Implementation”, Artificial Intelligence and Decision Making, 2021, no. 2, 21–34; 49, no. 5, 2022, 292–300