Statistical Riesz and Nörlund convergence for sequences of fuzzy numbers

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Journal of Amasya University the Institute Sciences and Technology
Volume:4 Issue:2
Statistical Riesz and Nörlund convergence for sequences of fuzzy numbers

Statistical Riesz and Nörlund convergence for sequences of fuzzy numbers

Authors : Burak Arslan, Samira Jalali, Serdar Enginoğlu

Pages : 100-107

Doi:10.54559/jauist.1400386

View : 99 | Download : 79

Publication Date : 2023-12-31

Article Type : Research Paper

Abstract :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.
Keywords : Statistical convergence, statistical Riesz convergence, statistical Nörlund convergence, sequences of fuzzy numbers

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