The extension of the Knopp core theorem to the sequences of fuzzy numbers

Basit Öğe Kaydı
dc.contributor.authorTalo, Ozer
dc.contributor.authorCakan, Celal
dc.date.accessioned2024-08-04T20:39:42Z
dc.date.available2024-08-04T20:39:42Z
dc.date.issued2014
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe concept of the core of a sequence of fuzzy numbers has been introduced by Aytar et al. in [The core of a sequence of fuzzy numbers, Fuzzy Sets and Systems, 159(24) (2008) 3369-3379]. Quite recently, some matrix transformations on the classical sets of sequences of fuzzy numbers have been characterized by Talo and Basar in [Determination of the duals of classical sets of sequences of fuzzy numbers and related matrix transformations, Comput. Math. Appl. 58 (2009) 717-733]. In this paper, we have proved a core theorem for sequences of fuzzy numbers which is analogous to the famous Knoop Core Theorem for real sequences. To achieve this goal, we have studied some properties of the lim sup and lim inf of sequences of fuzzy numbers. Also, we have characterized a class of positive regular matrices of fuzzy numbers such that these matrices leave the core of any bounded sequence of fuzzy numbers invariant. (C) 2014 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.ins.2014.02.042
dc.identifier.endpage20en_US
dc.identifier.issn0020-0255
dc.identifier.issn1872-6291
dc.identifier.scopus2-s2.0-84901193986en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage10en_US
dc.identifier.urihttps://doi.org/10.1016/j.ins.2014.02.042
dc.identifier.urihttps://hdl.handle.net/11616/96454
dc.identifier.volume276en_US
dc.identifier.wosWOS:000337647300002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofInformation Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFuzzy numberen_US
dc.subjectSequence of fuzzy numberen_US
dc.subjectMatrix transformationen_US
dc.subjectCore of a sequenceen_US
dc.titleThe extension of the Knopp core theorem to the sequences of fuzzy numbersen_US
dc.typeArticleen_US

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