The structure of fuzzy fractals generated by an orbital fuzzy iterated function system

• Autorzy: Savu Irina , Miculescu Radu , Mihail Alexandru

Identyfikatory

DOI

10.1515/dema-2022-0217

• Języki publikacji: EN

Abstrakty

EN

In this article, we present a structure result concerning fuzzy fractals generated by an orbital fuzzy iterated function system ((X,d),(ƒi)i∈I,(ρi)i∈I) . Our result involves the following two main ingredients: (a) the fuzzy fractal associated with the canonical iterated fuzzy function system ((IN,dΛ),(τi)i∈I,(ρi)i∈I) , where dΛ is Baire’s metric on the code space IN and τi:IN→IN is given by τi((ω1,ω2,…))≔(i,ω1,ω2,…) for every (ω1,ω2,…)∈IN and every i∈I ; (b) the canonical projections of certain iterated function systems associated with the fuzzy fractal under consideration.

Słowa kluczowe

EN

orbital fuzzy iterated function system; fuzzy Hutchinson-Barnsley operator; fuzzy fractal; canonical projection

PL

system funkcji iterowanych; twierdzenie Hutchinsona-Barnsleya; fraktal rozmyty; projekcja kanoniczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220217
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Savu Irina

• Faculty of Applied Sciences, Politehnica University of Bucharest, Splaiul Independenţei 313, Bucharest, Romania

autor

Miculescu Radu

• Faculty of Mathematics and Computer Science, Transilvania University of Braşov, Iuliu Maniu Street, nr. 50, 500091, Braşov, Romania

autor

Mihail Alexandru

• Faculty of Mathematics and Computer Science, Bucharest University, Romania, Str. Academiei 14, 010014, Bucharest, Romania

Bibliografia

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• [15] R. Miculescu, A. Mihail, and I. Savu, A characterization of the fuzzy fractals generated by an orbital fuzzy iterated function system, Carpathian J. Math. 38 (2022), no. 3, 583–595.
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).