Fuzzy Mandelbrot sets

Ince, Ibrahim; Ersoy, Soley

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dc.contributor.authors	Ince, Ibrahim; Ersoy, Soley
dc.date.accessioned	2022-12-20T13:25:01Z
dc.date.available	2022-12-20T13:25:01Z
dc.date.issued	2022
dc.identifier.issn	0165-0114
dc.identifier.uri	http://dx.doi.org/10.1016/j.fss.2021.03.007
dc.identifier.uri	https://hdl.handle.net/20.500.12619/99159
dc.description	Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir.
dc.description.abstract	In this paper, we present a new approach to the Mandelbrot set via fuzzy set theory. We introduce and characterize the fuzzy Mandelbrot set by describing its membership function that determines the degrees of belonging of the points to this set under the iteration even if the orbit of the point is not limited. Then we investigate the basic topological properties of the fuzzy Mandelbrot set and its strong alpha-cut such as closedness, openness, boundness, connectedness and simply connectedness.(c) 2021 Elsevier B.V. All rights reserved.
dc.language	English
dc.language.iso	eng
dc.relation.isversionof	10.1016/j.fss.2021.03.007
dc.subject	Computer Science
dc.subject	Mathematics
dc.subject	Fuzzy sets
dc.subject	Mandelbrot set
dc.title	Fuzzy Mandelbrot sets
dc.contributor.authorID	ERSOY, Soley/0000-0002-7183-7081
dc.identifier.volume	435
dc.identifier.startpage	78
dc.identifier.endpage	88
dc.relation.journal	FUZZY SETS AND SYSTEMS
dc.identifier.doi	10.1016/j.fss.2021.03.007
dc.identifier.eissn	1872-6801
dc.contributor.author	Ince, Ibrahim
dc.contributor.author	Ersoy, Soley
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı