TY - JOUR

T1 - Type-2 Fuzzy Sets and Their Application in Decision-Making: Implementations

AU - Baskov, O. V.

AU - Noghin, V. D.

N1 - Baskov, O.V., Noghin, V.D. Type-2 Fuzzy Sets and Their Application in Decision-Making: Implementations. Sci. Tech. Inf. Proc. 49, 292–300 (2022). https://doi.org/10.3103/S0147688222050021

PY - 2022

Y1 - 2022

N2 - This article continues the first part of a 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. Existing approaches to solving multicriteria problems involving the set of feasible variants, which consists of type-2 fuzzy variables, are analyzed. The problem of multicriteria choice with a type-2 fuzzy preference relation is considered, and axioms are given, the acceptance of which guarantees the fulfilment of the Edgeworth–Pareto principle.

AB - This article continues the first part of a 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. Existing approaches to solving multicriteria problems involving the set of feasible variants, which consists of type-2 fuzzy variables, are analyzed. The problem of multicriteria choice with a type-2 fuzzy preference relation is considered, and axioms are given, the acceptance of which guarantees the fulfilment of the Edgeworth–Pareto principle.

KW - type-2 fuzzy sets

KW - type-2 fuzzy relation

KW - outranking of fuzzy sets

KW - multicriteria choice

M3 - Article

VL - 49

SP - 292

EP - 300

JO - Scientific and Technical Information Processing

JF - Scientific and Technical Information Processing

SN - 0147-6882

ER -