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

• Autorzy: Szmidt Eulalia , Kacprzyk Janusz , Bujnowski Paweł

Identyfikatory

DOI

10.2478/candc-2022-0016

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

similarity measures; Atanassov’s intuitionistic fuzzy sets; distances; complement

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2022
• Tom: Vol. 51, No. 2
• Strony: 249--266
• Opis fizyczny: Bibliogr. 52 poz., rys.

Twórcy

autor

Szmidt Eulalia

• Systems Research Institute Polish Academy of Sciences ul. Newelska 6, 01-447 Warsaw, Poland

autor

Kacprzyk Janusz

• Systems Research Institute Polish Academy of Sciences ul. Newelska 6, 01-447 Warsaw, Poland
• Warsaw School of Information Technology, ul. Newelska 6, 01-447 Warsaw, Poland

autor

Bujnowski Paweł

• Systems Research Institute Polish Academy of Sciences ul. Newelska 6, 01-447 Warsaw, Poland

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