International Journal of Management and Fuzzy Systems

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I-Statistically Pre-Cauchy Triple Sequences of Fuzzy Real Numbers

Received: 18 August 2016    Accepted: 29 August 2016    Published: 11 October 2016
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Abstract

In this article, the notion of I-statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two is introduced. We establish the criterion for any arbitrary triple sequence of fuzzy numbers to be I-statistically pre-Cauchy. It is shown that an I-statistically convergent sequence of fuzzy numbers is I-statistically pre-Cauchy. Moreover a necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be I-pre-Cauchy is established.

DOI 10.11648/j.ijmfs.20160202.12
Published in International Journal of Management and Fuzzy Systems (Volume 2, Issue 2, April 2016)
Page(s) 15-21
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Ideal, Filter, Statistical Convergence, Ideal Convergence, I-Statistical Convergence, Triple Sequence of Fuzzy Numbers, I-statistical Pre-Cauchy, Orlicz Function

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Author Information
  • Department of Mathematics, National Institute of Technology Silchar, Assam, India

  • Department of Mathematics, National Institute of Technology Silchar, Assam, India

  • Department of Mathematics, National Institute of Technology Silchar, Assam, India

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    Sangita Saha, Bijan Nath, Santanu Roy. (2016). I-Statistically Pre-Cauchy Triple Sequences of Fuzzy Real Numbers. International Journal of Management and Fuzzy Systems, 2(2), 15-21. https://doi.org/10.11648/j.ijmfs.20160202.12

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    ACS Style

    Sangita Saha; Bijan Nath; Santanu Roy. I-Statistically Pre-Cauchy Triple Sequences of Fuzzy Real Numbers. Int. J. Manag. Fuzzy Syst. 2016, 2(2), 15-21. doi: 10.11648/j.ijmfs.20160202.12

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    AMA Style

    Sangita Saha, Bijan Nath, Santanu Roy. I-Statistically Pre-Cauchy Triple Sequences of Fuzzy Real Numbers. Int J Manag Fuzzy Syst. 2016;2(2):15-21. doi: 10.11648/j.ijmfs.20160202.12

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  • @article{10.11648/j.ijmfs.20160202.12,
      author = {Sangita Saha and Bijan Nath and Santanu Roy},
      title = {I-Statistically Pre-Cauchy Triple Sequences of Fuzzy Real Numbers},
      journal = {International Journal of Management and Fuzzy Systems},
      volume = {2},
      number = {2},
      pages = {15-21},
      doi = {10.11648/j.ijmfs.20160202.12},
      url = {https://doi.org/10.11648/j.ijmfs.20160202.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijmfs.20160202.12},
      abstract = {In this article, the notion of I-statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two is introduced. We establish the criterion for any arbitrary triple sequence of fuzzy numbers to be I-statistically pre-Cauchy. It is shown that an I-statistically convergent sequence of fuzzy numbers is I-statistically pre-Cauchy. Moreover a necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be I-pre-Cauchy is established.},
     year = {2016}
    }
    

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    T1  - I-Statistically Pre-Cauchy Triple Sequences of Fuzzy Real Numbers
    AU  - Sangita Saha
    AU  - Bijan Nath
    AU  - Santanu Roy
    Y1  - 2016/10/11
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    N1  - https://doi.org/10.11648/j.ijmfs.20160202.12
    DO  - 10.11648/j.ijmfs.20160202.12
    T2  - International Journal of Management and Fuzzy Systems
    JF  - International Journal of Management and Fuzzy Systems
    JO  - International Journal of Management and Fuzzy Systems
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ijmfs.20160202.12
    AB  - In this article, the notion of I-statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two is introduced. We establish the criterion for any arbitrary triple sequence of fuzzy numbers to be I-statistically pre-Cauchy. It is shown that an I-statistically convergent sequence of fuzzy numbers is I-statistically pre-Cauchy. Moreover a necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be I-pre-Cauchy is established.
    VL  - 2
    IS  - 2
    ER  - 

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