Center of circles intersection, a new defuzzification method for fuzzy numbers

• Autorzy: Zarzycki H. , Dobrosielski W. T. , Apiecionek Ł. , Vince T.

Identyfikatory

DOI

10.24425/bpasts.2020.131850

• Języki publikacji: EN

Abstrakty

EN

The article introduces a new proposal of a def uzzification method, which can be implemented in fuzzy controllers. The first chapter refers to the origin of fuzzy sets. Next, a modern development based on this theory is presented in the form of ordered fuzzy numbers (OFN). The most important characteristics of ordered fuzzy numbers are also presented. In the following chapter, details about the defuzzification process are given as part of the fuzzy controller model. Then a new method of defuzzification is presented. The method is named center of circles intersection (CCI). The authors compare this method with a similar geometric solution: triangular expanding (TE) and geometric mean (GM). Also, the results are compared with other methods such as center of gravity (COG), first of maxima (FOM) and last of maxima (LOM). The analysis shows that the proposed solution works correctly and provides results for traditional fuzzy numbers as well as directed fuzzy numbers. The last chapter contains a summary, in which more detailed conclusions are provided and further directions of research are indicated.

Słowa kluczowe

EN

defuzzification; fuzzy logic; ordered fuzzy numbers

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2020
• Tom: Vol. 68, nr 2
• Strony: 185--190
• Opis fizyczny: Bibliogr. 33 poz., rys., tab.

Twórcy

autor

Zarzycki H.

• University of Information Technology and Management Copernicus, ul. Inowrocławska 56, 53-648 Wrocław, Poland

autor

Dobrosielski W. T.

• Institute of Technology, Department of Computer Science, Kazimierz Wielki University, ul. Chodkiewicza 30, 85-064 Bydgoszcz, Poland

autor

Apiecionek Ł.

• Institute of Technology, Department of Computer Science, Kazimierz Wielki University, ul. Chodkiewicza 30, 85-064 Bydgoszcz, Poland

autor

Vince T.

• Technická univerzita v Košiciach, Letná 9, 042 00 Košice, Slovakia

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).