(Δm, f)-Statistical convergence for sequences of fuzzy numbers

In this paper, we define the concepts of (Δm, f)-statistical convergence of order β and strong (Δm, f)-Cesàro summability of order β for β ∈ (0, 1] using a generalized difference operator Δm and an unbounded modulus function for sequences of fuzzy numbers and give some inclusion relations between th...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2019, Vol.36 (4), p.3525-3533
Main Authors: Altinok, Hifsi, Deniz, Derya
Format: Article
Language:English
Subjects:
Convergence
Finite differences
Operators (mathematics)
Sequences
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Summary:In this paper, we define the concepts of (Δm, f)-statistical convergence of order β and strong (Δm, f)-Cesàro summability of order β for β ∈ (0, 1] using a generalized difference operator Δm and an unbounded modulus function for sequences of fuzzy numbers and give some inclusion relations between them.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-181444