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Almost statistical convergence of order \(\beta \) of sequences of fuzzy numbers

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Abstract

In this article, we introduce the concepts of almost \(\lambda \)-statistical convergence of order \(\beta \) and strongly almost \(\lambda _{p}\)-summability of order \(\beta \) for sequences of fuzzy numbers. Also, we establish some relations between the almost \(\lambda \)-statistical convergence of order \(\beta \) and strongly almost \(\lambda _{p}\)-summability of order \(\beta \) and we define \(\hat{w}_{\lambda }^{\beta }\left( \mathcal {F},f,p\right) \), where \(f\) is a modulus function and give some inclusion relations.

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Authors and Affiliations

  1. Department of Mathematics, Siirt University, 56000, Siirt, Turkey

    Abdulkadir Karakas

  2. Department of Mathematics, Firat University, 23119, Elazig, Turkey

    Yavuz Altin & Hifsi Altinok

Authors
  1. Abdulkadir Karakas
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  2. Yavuz Altin
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  3. Hifsi Altinok
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Correspondence to Yavuz Altin.

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Communicated by V. Loia.

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Karakas, A., Altin, Y. & Altinok, H. Almost statistical convergence of order \(\beta \) of sequences of fuzzy numbers. Soft Comput 20, 3611–3616 (2016). https://doi.org/10.1007/s00500-015-1720-7

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  • DOI: https://doi.org/10.1007/s00500-015-1720-7

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