Metadata language
Książka = Book ; KS/5/2010/T1P13
Creator:Kosiński, Witold ; Wilczyńska-Sztyma, Dorota
Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:[5], 121-130 stron ; 21 cm ; Bibliografia s. 128-130
Type of object: Abstract:Ordered fuzzy numbers (OFN) invented by the first author and his two coworkers in 2002 make possible to utilize the fuzzy arithmetic and to construct the Abelian group of fuzzy numbers and then an ordered ring. This new model of fuzzy numbers overcomes known drawbacks of classical convex fuzzy numbers and at the same time has the algebra of crisp (non-fuzzy) numbers inside. The definition of OFN uses the extension of the parametric representation of convex fuzzy numbers. Operation of addition and multiplication by a positive scalar defined on OFNs give the same result as addition and scalar multiplication of their corresponding convex fuzzy numbers, if the numbers have the same orientation. However, subtraction, multiplication and division give quit different results for interval arithmetic and presented new algebra of OFNs. Fuzzy implications are discussed. With the help of a perceptron that realizes the classical binary implication a new fuzzy implication with ordered fuzzy numbers is proposed.
Relation: Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Licencja Creative Commons Uznanie autorstwa 4.0
Terms of use:Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -
Digitizing institution:Instytut Badań Systemowych Polskiej Akademii Nauk
Original in:Biblioteka Instytutu Badań Systemowych PAN
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