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Approaches of linear operators in the intuitionistic fuzzy 2-Banach spaces

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dc.contributor.authorKarakaya, Vatan
dc.contributor.authorErturk, Muzeyyen
dc.date.accessioned2026-06-27T14:15:18Z
dc.date.issued2018
dc.description.abstractThe focus of this paper is to present some concepts of intuitionistic fuzzy T-convergence in intuitionistic fuzzy 2-Banach spaces. We will modify and correct the definition of regularity of 2-norms on 2-Banach spaces, which was given by Gurdal et al. in (2009, Nonlinear Analysis: Theory, Methods & Applications, 71, 1654-1661) to guarantee uniqueness of T-limit of T-convergence. Furthermore, we will introduce the concepts of intuitionistic fuzzy regularity and investigate consistency of intuitionistic fuzzy 2-norms on domain and range of the operator T-n. We will give some illustrative examples supporting our theoretical results.en
dc.description.sponsorshipScientific and Technological Research Council of Turkey [110T699]
dc.description.urihttps://doi.org/10.1093/jigpal/jzy009
dc.identifier.doi10.1093/jigpal/jzy009
dc.identifier.eissn1368-9894
dc.identifier.endpage463
dc.identifier.issn1367-0751
dc.identifier.issue5
dc.identifier.startpage453
dc.identifier.urihttps://hdl.handle.net/20.500.14981/58502
dc.identifier.volume26
dc.identifier.wos000452505600001
dc.language.isoeng
dc.publisherOXFORD UNIV PRESS
dc.relation.ispartofLOGIC JOURNAL OF THE IGPL
dc.subjectT-convergence
dc.subjectintuitionistic fuzzy 2-Banach space
dc.subjectintuitionistic fuzzy regularity
dc.subjectSTATISTICAL CONVERGENCE
dc.subjectMathematics
dc.subjectScience & Technology - Other Topics
dc.titleApproaches of linear operators in the intuitionistic fuzzy 2-Banach spaces
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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