Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7328
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dc.contributor.authorBurgin, Mark-
dc.contributor.authorDuman, Oktay-
dc.date.accessioned2021-09-11T15:56:27Z-
dc.date.available2021-09-11T15:56:27Z-
dc.date.issued2008en_US
dc.identifier.issn1064-1246-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/7328-
dc.description.abstractStatistical convergence was introduced in connection with problems of series summation. Only later it was demonstrated that statistical convergence is closely related to convergence of the main statistical characteristics. Statistical limits are defined relaxing conditions on conventional convergence. The main idea of the statistical convergence of a sequence l is that the majority of elements from l converge and we do not care what is going on with other elements. At the same time, it is known that sequences that come from real life sources, such as measurement and computation, do not allow, in a general case, to test whether they converge or statistically converge in the strict mathematical sense. To overcome these limitations, fuzzy convergence was introduced earlier in the context of neoclassical analysis and fuzzy statistical convergence is introduced and studied in this paper. We find relations between fuzzy statistical convergence of a sequence and fuzzy statistical convergence of its subsequences (Theorem 2.1), as well as between fuzzy statistical convergence of a sequence and conventional convergence of its subsequences (Theorem 2.2). It is demonstrated what operations with fuzzy statistical limits are induced by operations on sequences (Theorem 2.3) and how fuzzy statistical limits of different sequences influence one another (Theorem 2.4). In Section 3, relations between fuzzy statistical convergence and fuzzy convergence of statistical characteristics, such as the mean (average) and standard deviation, are studied (Theorems 3.1 and 3.2).en_US
dc.language.isoenen_US
dc.publisherIos Pressen_US
dc.relation.ispartofJournal of Intelligent & Fuzzy Systemsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectStatistical convergenceen_US
dc.subjectfuzzy setsen_US
dc.subjectfuzzy limitsen_US
dc.subjectstatisticsen_US
dc.subjectmeanen_US
dc.subjectstandard deviationen_US
dc.subjectfuzzy convergenceen_US
dc.subjectfuzzy densityen_US
dc.titleProperties of fuzzy statistical limitsen_US
dc.typeArticleen_US
dc.departmentFaculties, Faculty of Science and Literature, Department of Mathematicsen_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.identifier.volume19en_US
dc.identifier.issue6en_US
dc.identifier.startpage385en_US
dc.identifier.endpage392en_US
dc.authorid0000-0001-7779-6877-
dc.identifier.wosWOS:000261327100001en_US
dc.identifier.scopus2-s2.0-57049161836en_US
dc.institutionauthorDuman, Oktay-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ2-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.languageiso639-1en-
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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