New Transitivity of Atanassov’s Intuitionistic Fuzzy Sets in a Decision Making Model

Autor: P��kala, Barbara, Grochowalski, Piotr, Szmidt, Eulalia
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: International Journal of Applied Mathematics and Computer Science, Vol 31, Iss 4, Pp 563-576 (2021)
ISSN: 2083-8492
Popis: Atanassov’s intuitionistic fuzzy sets and especially his intuitionistic fuzzy relations are tools that make it possible to model effectively imperfect information that we meet in many real-life situations. In this paper, we discuss the new concepts of the transitivity problem of Atanassov’s intuitionistic fuzzy relations in an epistemic aspect. The transitivity property reflects the consistency of a preference relation. Therefore, transitivity is important from the point of view of real problems appearing, e.g., in group decision making in preference procedures. We propose a new type of optimistic and pessimistic transitivity among the alternatives (options) considered and their use in the procedure of ranking the alternatives in a group decision making problem.
Databáze: OpenAIRE