<i>I</i>-Statistically Pre-cauchy Triple Sequences of Fuzzy Real Numbers

Sangita Saha; Bijan Nath; Santanu Roy

doi:doi:10.11648/j.mcs.20160103.11

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

Sangita Saha, Bijan Nath, Santanu Roy

Published in Mathematics and Computer Science (Volume 1, Issue 3)

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

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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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TY  - JOUR
T1  - I-Statistically Pre-cauchy Triple Sequences of Fuzzy Real Numbers
AU  - Sangita Saha
AU  - Bijan Nath
AU  - Santanu Roy
Y1  - 2016/09/18
PY  - 2016
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
SP  - 36
EP  - 43
PB  - Science Publishing Group
SN  - 2575-6028
UR  - https://doi.org/10.11648/j.mcs.20160103.11
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

Sangita Saha

Department of Mathematics, National Institute of Technology, Silchar, Assam, India
Bijan Nath

Department of Mathematics, National Institute of Technology, Silchar, Assam, India
Santanu Roy

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. 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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
T1  - I-Statistically Pre-cauchy Triple Sequences of Fuzzy Real Numbers
AU  - Sangita Saha
AU  - Bijan Nath
AU  - Santanu Roy
Y1  - 2016/09/18
PY  - 2016
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
SP  - 36
EP  - 43
PB  - Science Publishing Group
SN  - 2575-6028
UR  - https://doi.org/10.11648/j.mcs.20160103.11
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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