Statistical Convergence in L-Fuzzy Metric Spaces

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dc.authoridÇakı, Ahmet / 0009-0004-4118-6179
dc.authoridOr, Aykut / 0000-0001-5279-0057
dc.contributor.authorÇakı, Ahmet
dc.contributor.authorOr, Aykut
dc.date.accessioned2025-05-29T05:37:07Z
dc.date.available2025-05-29T05:37:07Z
dc.date.issued2024
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractStatistical convergence, defined in terms of the natural density of positive integers, has been studied in many different spaces, such as intuitionistic fuzzy metric spaces, partial metric spaces, and L-fuzzy normed spaces. The main goal of this study is to define statistical convergence in L-fuzzy metric spaces (L-FMSs), one of the essential tools for modeling uncertainty in everyday life. Furthermore, this paper introduces the concept of statistical Cauchy sequences and investigates its relation with statistical convergence. Then, it defines statistically complete L-FMSs and analyzes some of their basic properties. Finally, the paper inquires the need for further research.
dc.identifier.doi10.53570/jnt.1586147
dc.identifier.endpage91
dc.identifier.issn2149-1402
dc.identifier.issue49
dc.identifier.startpage83
dc.identifier.urihttps://doi.org/10.53570/jnt.1586147
dc.identifier.urihttps://hdl.handle.net/20.500.12428/31614
dc.language.isoen
dc.publisherNaim ÇAĞMAN
dc.relation.ispartofJournal of New Theory
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20250529
dc.subjectStatistical convergence
dc.subjectstatistical Cauchy sequences
dc.subjectL-fuzzy metric spaces
dc.subjectcompleteness
dc.titleStatistical Convergence in L-Fuzzy Metric Spaces
dc.typeResearch Article

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