Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7518
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dc.contributor.authorBurgin, Mark-
dc.contributor.authorDuman, Oktay-
dc.date.accessioned2021-09-11T15:57:33Z-
dc.date.available2021-09-11T15:57:33Z-
dc.date.issued2008en_US
dc.identifier.issn0218-4885-
dc.identifier.urihttps://doi.org/10.1142/S0218488508005674-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/7518-
dc.description.abstractThe goal of this work is the further development of neoclassical analysis, which extends the scope and results of the classical mathematical analysis by applying fuzzy logic to conventional mathematical objects, such as functions, sequences, and series. This allows us to reflect and model vagueness and uncertainty of our knowledge, which results from imprecision of measurement and in accuracy of computation. Basing on the theory of fuzzy limits, we develop the structure of statistical fuzzy convergence and study its properties. Relations between statistical fuzzy convergence and fuzzy convergence are considered in the First Subsequence Theorem and the First Reduction Theorem. Algebraic structures of statistical fuzzy limits are described in the Linearity Theorem. Topological structures of statistical fuzzy limits are described in the Limit Set Theorem and Limit Fuzzy Set theorems. Relations between statistical convergence, statistical fuzzy convergence, ergodic systems, fuzzy convergence and convergence of statistical characteristics, such as the mean (average), and standard deviation, are studied in Secs.2 and 4. Introduced constructions and obtained results open new directions for further research that are considered in the Conclusion.en_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal of Uncertainty Fuzziness And Knowledge-Based 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.subjectfuzzy convergenceen_US
dc.titleStatistical Fuzzy Convergenceen_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.volume16en_US
dc.identifier.issue6en_US
dc.identifier.startpage879en_US
dc.identifier.endpage902en_US
dc.authorid0000-0001-7779-6877-
dc.identifier.wosWOS:000262087000007en_US
dc.identifier.scopus2-s2.0-58149265131en_US
dc.institutionauthorDuman, Oktay-
dc.identifier.doi10.1142/S0218488508005674-
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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