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https://hdl.handle.net/20.500.11851/7518
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Burgin, Mark | - |
dc.contributor.author | Duman, Oktay | - |
dc.date.accessioned | 2021-09-11T15:57:33Z | - |
dc.date.available | 2021-09-11T15:57:33Z | - |
dc.date.issued | 2008 | en_US |
dc.identifier.issn | 0218-4885 | - |
dc.identifier.uri | https://doi.org/10.1142/S0218488508005674 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/7518 | - |
dc.description.abstract | The 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.iso | en | en_US |
dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
dc.relation.ispartof | International Journal of Uncertainty Fuzziness And Knowledge-Based Systems | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Statistical convergence | en_US |
dc.subject | fuzzy sets | en_US |
dc.subject | fuzzy limits | en_US |
dc.subject | statistics | en_US |
dc.subject | fuzzy convergence | en_US |
dc.title | Statistical Fuzzy Convergence | en_US |
dc.type | Article | en_US |
dc.department | Faculties, Faculty of Science and Literature, Department of Mathematics | en_US |
dc.department | Fakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü | tr_TR |
dc.identifier.volume | 16 | en_US |
dc.identifier.issue | 6 | en_US |
dc.identifier.startpage | 879 | en_US |
dc.identifier.endpage | 902 | en_US |
dc.authorid | 0000-0001-7779-6877 | - |
dc.identifier.wos | WOS:000262087000007 | en_US |
dc.identifier.scopus | 2-s2.0-58149265131 | en_US |
dc.institutionauthor | Duman, Oktay | - |
dc.identifier.doi | 10.1142/S0218488508005674 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopusquality | Q2 | - |
item.openairetype | Article | - |
item.languageiso639-1 | en | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
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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