Statistical Riesz and Nörlund convergence for sequences of fuzzy numbers

Nuray and Savaş proposed statistical convergence of fuzzy number sequences. Afterward, Tripathy and Baruah presented Riesz and Nörlund convergence for sequences of fuzzy numbers. This paper defines statistical Riesz and Nörlund convergence of fuzzy number sequences. It then shows that if a sequence...

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Bibliographic Details
Published inJournal of Amasya University the Institute of Sciences and Technology Vol. 4; no. 2; pp. 100 - 107
Main Authors ARSLAN, Burak, JALALİ, Samira, ENGİNOĞLU, Serdar
Format Journal Article
LanguageEnglish
Published 31.12.2023
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Summary:Nuray and Savaş proposed statistical convergence of fuzzy number sequences. Afterward, Tripathy and Baruah presented Riesz and Nörlund convergence for sequences of fuzzy numbers. This paper defines statistical Riesz and Nörlund convergence of fuzzy number sequences. It then shows that if a sequence of fuzzy numbers is convergent, then it is statistical Riesz/Nörlund convergent, but the converse is not always true. Finally, this paper discusses the need for further research.
ISSN:2717-8900
DOI:10.54559/jauist.1400386