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Pseudo Similar Intuitionistic Fuzzy Matrices

Received: 28 November 2014     Accepted: 24 December 2014     Published: 31 December 2014
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Abstract

In this paper, we shall define Pseudo Similarity and Semi Similarity for Intuitionistic Fuzzy Matrix (IFM) and prove that the Pseudo similarity relation on a pair of IFMs is inherited by all its powers and their transposes are similar. Also we exibit that the Pseudo similarity relation preserve regularity and impotency of their matrices.

Published in Applied and Computational Mathematics (Volume 4, Issue 1-2)

This article belongs to the Special Issue New Advances in Fuzzy Mathematics: Theory, Algorithms, and Applications

DOI 10.11648/j.acm.s.2015040102.14
Page(s) 15-19
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), 2014. Published by Science Publishing Group

Keywords

Fuzzy matrix, Intuitionistic Fuzzy Matrix, Pseudo Similar, Semi Similar

References
[1] K. Atanassov, “Intuitionistic fuzzy sets”, Fuzzy Sets and systems 20(1), (1986), 87-96.
[2] H. H. Cho, “Regular fuzzy matrices and fuzzy equations”, Fuzzy Sets and Systems, 105 (1999), 445 – 451.
[3] Huanyin Chen, “Pseudo similarity in Semigroups”, Semi group forum,68(2004),59-63
[4] K. H. Kim and F. W. Roush, “Generalised fuzzy matrices”, Fuzzy sets and Systems, 4 (1980),293 – 315.
[5] S. Khan and Anita Pal, “The Generalised inverse of intuitionistic fuzzy matrics”, Journel of Physical science, Vol II (2007), 62-67.
[6] A R. Meenakshi,”Fuzzy matrices: Theory and its applications”, MJP Publishers, Chennai – 2008.
[7] A R. Meenakshi,” Pseudo similarity in semigroups of fuzzy matrices”, Proc. Int. Symp. on Semigroups and Appln.,(2007),64-73.
[8] A R. Meenakshi and T. Gandhimathi, “On Regular intuitionistic Fuzzy matrices”, Int.J. of Fuzzy Mathematics, Vol. 19, No. 2, (2011), 599-605.
Cite This Article
  • APA Style

    T. Gandhimathi, A. R. Meenakshi. (2014). Pseudo Similar Intuitionistic Fuzzy Matrices. Applied and Computational Mathematics, 4(1-2), 15-19. https://doi.org/10.11648/j.acm.s.2015040102.14

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    ACS Style

    T. Gandhimathi; A. R. Meenakshi. Pseudo Similar Intuitionistic Fuzzy Matrices. Appl. Comput. Math. 2014, 4(1-2), 15-19. doi: 10.11648/j.acm.s.2015040102.14

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    AMA Style

    T. Gandhimathi, A. R. Meenakshi. Pseudo Similar Intuitionistic Fuzzy Matrices. Appl Comput Math. 2014;4(1-2):15-19. doi: 10.11648/j.acm.s.2015040102.14

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  • @article{10.11648/j.acm.s.2015040102.14,
      author = {T. Gandhimathi and A. R. Meenakshi},
      title = {Pseudo Similar Intuitionistic Fuzzy Matrices},
      journal = {Applied and Computational Mathematics},
      volume = {4},
      number = {1-2},
      pages = {15-19},
      doi = {10.11648/j.acm.s.2015040102.14},
      url = {https://doi.org/10.11648/j.acm.s.2015040102.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.s.2015040102.14},
      abstract = {In this paper, we shall define Pseudo Similarity and Semi Similarity for Intuitionistic Fuzzy Matrix (IFM) and prove that the Pseudo similarity relation on a pair of IFMs is inherited by all its powers and their transposes are similar. Also we exibit that the Pseudo similarity relation preserve regularity and impotency of their matrices.},
     year = {2014}
    }
    

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    T1  - Pseudo Similar Intuitionistic Fuzzy Matrices
    AU  - T. Gandhimathi
    AU  - A. R. Meenakshi
    Y1  - 2014/12/31
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    DO  - 10.11648/j.acm.s.2015040102.14
    T2  - Applied and Computational Mathematics
    JF  - Applied and Computational Mathematics
    JO  - Applied and Computational Mathematics
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.acm.s.2015040102.14
    AB  - In this paper, we shall define Pseudo Similarity and Semi Similarity for Intuitionistic Fuzzy Matrix (IFM) and prove that the Pseudo similarity relation on a pair of IFMs is inherited by all its powers and their transposes are similar. Also we exibit that the Pseudo similarity relation preserve regularity and impotency of their matrices.
    VL  - 4
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Author Information
  • Department of Mathematics, P.A. College of Engineering and Technology, Pollachi-642 002, India

  • Department of Mathematics, Karpagam University, Coimbatore-642 021, India

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