<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

New transitivity of Atanassov’s intuitionistic fuzzy sets in a decision making model

University of Information Technology and Management

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Atanassov’s intuitionistic fuzzy sets and especially his intuitionistic fuzzy relations are tools that make it possible to model effectively imperfect...

New transitivity of Atanassov’s intuitionistic fuzzy sets in a decision making model

Publié en ligne: 30 déc. 2021

Pages: 563 - 576

Reçu: 31 mars 2021

Accepté: 19 oct. 2021

DOI: https://doi.org/10.34768/amcs-2021-0038

Mots clés
optimistic and pessimistic transitivity, preference relations, optimistic and pessimistic intuitionistic fuzzy negations

© 2021 Barbara Pękala et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

New transitivity of Atanassov’s intuitionistic fuzzy sets in a decision making model

Publié en ligne: 30 déc. 2021

Pages: 563 - 576

Reçu: 31 mars 2021

Accepté: 19 oct. 2021

DOI: https://doi.org/10.34768/amcs-2021-0038

Mots clésoptimistic and pessimistic transitivity, preference relations, optimistic and pessimistic intuitionistic fuzzy negations

© 2021 Barbara Pękala et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
optimistic and pessimistic transitivity, preference relations, optimistic and pessimistic intuitionistic fuzzy negations