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Fuzzy p-Absolutely Summable Difference Sequences

Author

Listed:
  • Hemen Dutta

    (Department of Mathematics, Gauhati University, Guwahati 781014, India)

  • Adem Kilicman

    (#x2020;Department of Mathematics and Institute for Mathematical, Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia)

  • Ayhan Esi

    (#x2021;Department of Mathematics, Adiyaman University, Adiyaman, Turkey)

Abstract

In this work, we introduce the notion of p-absolutely summability of difference sequences of fuzzy numbers and then reduce the concept of p-absolutely summable sequences of fuzzy numbers. We discuss the sets of such sequences of fuzzy numbers under different fuzzy metrics. We also establish the completeness under suitable metric. Examples along with suitable explanation are incorporated to make the theory of this paper interesting and useful. Finally, the concepts of fuzzy solidity and fuzzy symmetricity are defined and the classes for these two properties are examined as well.

Suggested Citation

  • Hemen Dutta & Adem Kilicman & Ayhan Esi, 2018. "Fuzzy p-Absolutely Summable Difference Sequences," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 221-233, July.
    • Handle: RePEc:wsi:nmncxx:v:14:y:2018:i:02:n:s179300571850014x
    DOI: 10.1142/S179300571850014X
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