Ordered fuzzy numbers

• Autorzy: Kosiński W. , Prokopowicz P. , Ślęzak D.
• Języki publikacji: EN

Abstrakty

EN

Fuzzy counterpart of real numbers is presented. Fuzzy membership functions, which satisfy conditions similar to the quasi-convexity are considered. An extra feature, called the orientation of the curve of fuzzy membership function, is introduced. It leads to a novel concept of an ordered fuzzy number, represented by the ordered pair of real continuous functions. Arithmetic operations defined on ordered fuzzy numbers enable to avoid some drawbacks of the classical approach.

Słowa kluczowe

EN

fuzzy numbers; quasi-convexity; orientation; algebraic operations

PL

liczba rozmyta; quasi-wypukłość; orientacja; operacja algebraiczna

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2003
• Tom: Vol. 51, no 3
• Strony: 329--341
• Opis fizyczny: Bibliogr. 19 poz., rys., wykr.

Twórcy

autor

Kosiński W.

• Polish-Japanese Institute of Information Technology, Research Center, ul. Koszykowa 86, 02-008 Warsaw, Poland

autor

Prokopowicz P.

• The University of Bydgoszcz, Institute of Environmental Mechanics and Applied Computer Science, ul. Chodkiewicza 30, 85-064 Bydgoszcz, Poland

autor

Ślęzak D.

• Polish-Japanese Institute of Information Technology, Research Center, ul. Koszykowa 86, 02-008 Warsaw, Poland
• The University of Regina, Department of Computer Science, Regina, Saskatchewan, Canada S4S 0A2

Bibliografia

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