Statistically Pre-Cauchy Triple Sequences of Fuzzy Real Numbers Defined by Orlicz Function

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Authors

  • SANTANU ROY
     ,IN
  • SANGITA SAHA
     ,IN

Keywords:

Triple sequence of fuzzy numbers, Statistical convergence, Statistically pre-Cauchy triple sequence, Orlicz function, Cesáro summability

Abstract

In this article, the concept of statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two defined by Orlicz function is introduced. A characterization of the class of bounded statistically pre-Cauchy triple sequences of fuzzy numbers with the help of Orlicz function is presented. Then a necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be statistically pre-Cauchy is proved. Also a necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be statistically convergent is derived. Further, a characterization of the class of bounded statistically convergent triple sequences of fuzzy numbers is presented and linked with Cesáro summability.

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Author Biographies

SANTANU ROY

MATHEMATICS

SANGITA SAHA

MATHEMATICS

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Published

2018-07-01

How to Cite

ROY, S., & SAHA, S. (2018). Statistically Pre-Cauchy Triple Sequences of Fuzzy Real Numbers Defined by Orlicz Function. The Journal of the Indian Mathematical Society, 85(3-4). Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/15946

Issue

Volume 85, Issue 3-4, July-December 2018

Section

Articles

License

Copyright (c) 2018 SANTANU ROY, SANGITA SAHA

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Received 2017-04-26
Accepted 2019-08-09
Published 2018-07-01

 

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