Fuzzy p-Absolutely Summable Difference Sequences

Hemen Dutta (), Adem Kilicman () and Ayhan Esi ()
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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

New Mathematics and Natural Computation (NMNC), 2018, vol. 14, issue 02, 221-233

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.

Keywords: p-absolutely summable; fuzzy number; difference sequence; fuzzy metric; fuzzy symmetricity (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S179300571850014X

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