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

• Autorzy: Pękala Barbara , Grochowalski Piotr , Szmidt Eulalia

Identyfikatory

DOI

10.34768/amcs-2021-0038

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

optimistic transitivity; pessimistic transitivity; preference relations; optimistic intuitionistic fuzzy negations; pessimistic intuitionistic fuzzy negations

PL

przechodniość optymistyczna; przechodniość pesymistyczna; relacja preferencji

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2021
• Tom: Vol. 31, no. 4
• Strony: 563--576
• Opis fizyczny: Bibliogr. 37 poz., tab.

Twórcy

autor

Pękala Barbara

• College of Natural Sciences, University of Rzeszów, Rejtana 16c, 35-959 Rzeszów, Poland; College of Applied Computer Science, University of Information Technology and Management, Sucharskiego 2, 35-225 Rzeszów, Poland

autor

Grochowalski Piotr

• College of Natural Sciences, University of Rzeszów, Rejtana 16c, 35-959 Rzeszów, Poland

autor

Szmidt Eulalia

• Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland; Department of Informatics, Warsaw School of Information Technology, Newelska 6, 01-447 Warsaw, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).