On regular variations of fuzzy sequences via deferred statistical convergence

Author:

Baliarsingh Pinakadhar1,Nayak Laxmipriya2,Padhy Birupakhya3,Dutta Hemen4

Affiliation:

1. Institute of Mathematics and Applications, Bhubaneswar, Odisha, India

2. Kalinga Institute of Industrial Technology, Bhubaneswar, India

3. bKalinga Institute of Industrial Technology, Bhubaneswar, India

4. Department of Mathematics, Gauhati University, Guwahati, India

Abstract

This paper introduces the idea of deferred statistical convergence of order ? via the concept of regular variations of sequences of fuzzy numbers. The convergence of sequences of fuzzy numbers using ideas of variations such as regular, O?regular, translational regular and rapid, etc, are discussed in the context of deferred statistical convergence of order ?. Results on generating relations among these different fuzzy deferred statistical variations are established.

Publisher

National Library of Serbia

Reference46 articles.

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2. S. Aljancić, D. Arandjelović, O−regularly varying functions, Publ. Inst. Math. (Beograd) 22(36) (1977) 5-22.

3. H. Altinok, Statistical convergence of order β for generalized difference sequences of fuzzy numbers, J. Intel. Fuzzy Syst. 26 (2014) 847-856.

4. H. Altinok, M. Et, Statistical convergence of order (β, γ) for sequence of fuzzy numbers, Soft Comput. 23 (2019) 6017-6022.

5. D. Arandjelović, O−regularly variation and uniform convergence, Publ. Inst. Math. (Beograd) 48(62) (1990) 25-40.

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