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 |
Fuzzy matrix, Intuitionistic Fuzzy Matrix, Pseudo Similar, Semi Similar
| [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. |
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
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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Download@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}
}
TY - JOUR T1 - Pseudo Similar Intuitionistic Fuzzy Matrices AU - T. Gandhimathi AU - A. R. Meenakshi Y1 - 2014/12/31 PY - 2014 N1 - https://doi.org/10.11648/j.acm.s.2015040102.14 DO - 10.11648/j.acm.s.2015040102.14 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 15 EP - 19 PB - Science Publishing Group SN - 2328-5613 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 IS - 1-2 ER -
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