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Similarity measures for Atanassov’s intuitionistic fuzzy sets: some dilemmas and challenges Cover

Similarity measures for Atanassov’s intuitionistic fuzzy sets: some dilemmas and challenges

Open Access
|Aug 2022

Abstract

We discuss some aspects of similarity measures in the context of Atanassov’s intuitionistic fuzzy sets (IFSs, for short). IFSs, proposed in 1983, are a relatively new tool for the modeling and simulation and, because of their construction, present us with new challenges as far the similarity measures are concerned. Specifically, we claim that the distances alone are not a proper measure of similarity for the IFSs. We stress the role of a lack of knowledge concerning elements (options, decisions, etc.) and point out the role of the opposing (complementing) elements. We also pay attention to the fact that it is not justified to talk about similarity when one has not enough knowledge about the compared objects/elements. Some novel measures of similarity are presented.

DOI: https://doi.org/10.2478/candc-2022-0016 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569
Language: English
Page range: 249 - 266
Submitted on: Apr 1, 2022
Accepted on: Apr 1, 2022
Published on: Aug 12, 2022
Published by: Systems Research Institute Polish Academy of Sciences
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2022 Eulalia Szmidt, Janusz Kacprzyk, Paweł Bujnowski, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.