International Journal of Applied Mathematics and Computer Science (Dec 2021)

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

  • Pękala Barbara,
  • Grochowalski Piotr,
  • Szmidt Eulalia

DOI
https://doi.org/10.34768/amcs-2021-0038
Journal volume & issue
Vol. 31, no. 4
pp. 563 – 576

Abstract

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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.

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