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

Received: 14 August 2016     Accepted: 30 August 2016     Published: 18 September 2016
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Abstract

In this article, using Orlicz function, the concept of I-statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two is introduced. A necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be I-statistically Cauchy is established. It is also shown that an I-statistically convergent triple sequence of fuzzy numbers is I-statistically pre-Cauchy.

Published in Mathematics and Computer Science (Volume 1, Issue 3)
DOI 10.11648/j.mcs.20160103.11
Page(s) 36-43
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), 2016. Published by Science Publishing Group

Keywords

Ideal, Filter, Triple Sequence of Fuzzy Numbers, Statistical Convergence, Ideal Convergence, I-Statistically Convergence, I-Statistically Pre-cauchy, Orlicz Function

References
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  • APA Style

    Sangita Saha, Bijan Nath, Santanu Roy. (2016). I-Statistically Pre-cauchy Triple Sequences of Fuzzy Real Numbers. Mathematics and Computer Science, 1(3), 36-43. https://doi.org/10.11648/j.mcs.20160103.11

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    ACS Style

    Sangita Saha; Bijan Nath; Santanu Roy. I-Statistically Pre-cauchy Triple Sequences of Fuzzy Real Numbers. Math. Comput. Sci. 2016, 1(3), 36-43. doi: 10.11648/j.mcs.20160103.11

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    AMA Style

    Sangita Saha, Bijan Nath, Santanu Roy. I-Statistically Pre-cauchy Triple Sequences of Fuzzy Real Numbers. Math Comput Sci. 2016;1(3):36-43. doi: 10.11648/j.mcs.20160103.11

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  • @article{10.11648/j.mcs.20160103.11,
      author = {Sangita Saha and Bijan Nath and Santanu Roy},
      title = {I-Statistically Pre-cauchy Triple Sequences of Fuzzy Real Numbers},
      journal = {Mathematics and Computer Science},
      volume = {1},
      number = {3},
      pages = {36-43},
      doi = {10.11648/j.mcs.20160103.11},
      url = {https://doi.org/10.11648/j.mcs.20160103.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mcs.20160103.11},
      abstract = {In this article, using Orlicz function, the concept of I-statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two is introduced. A necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be I-statistically Cauchy is established. It is also shown that an I-statistically convergent triple sequence of fuzzy numbers is I-statistically pre-Cauchy.},
     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  - 2016/09/18
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    N1  - https://doi.org/10.11648/j.mcs.20160103.11
    DO  - 10.11648/j.mcs.20160103.11
    T2  - Mathematics and Computer Science
    JF  - Mathematics and Computer Science
    JO  - Mathematics and Computer Science
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    PB  - Science Publishing Group
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    AB  - In this article, using Orlicz function, the concept of I-statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two is introduced. A necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be I-statistically Cauchy is established. It is also shown that an I-statistically convergent triple sequence of fuzzy numbers is I-statistically pre-Cauchy.
    VL  - 1
    IS  - 3
    ER  - 

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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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