Similarity measures on intuitionistic fuzzy matrices and its applications
Downloads
DOI:
https://doi.org/10.26637/MJM0803/0005Abstract
In this paper, the notions of intuitionistic fuzzy matrix with some operations and relations are studied. Also, we develop several similarity measures of intuitionistic fuzzy matrices and some related properties are investigated. Finally, an application of similarity measures on intuitionistic fuzzy matrices is presented here.
Keywords:
ntuitionistic fuzzy set, Intuitionistic fuzzy matrices, Degree of similarity, Similarity measures on intuitionistic fuzzy matricesMathematics Subject Classification:
Mathematics- Pages: 761-766
- Date Published: 01-07-2020
- Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
A. K. Adak, M. Pal, M. Bhowmik, Distributive lattice over intuitionistic fuzzy matrices, The J. of Fuzzy Math., 21(2)(2013), 401-416.
K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1)(1986), 87-96.
W. Cross, T. A. Sudkamp, Similarity and Compatibility in Fuzzy Set Theory, Physica-Verlag, Heidelberg, New York, 2002.
H. Hashimoto, Canonical form of a transitive matrix, Fuzzy Sets and Systems, 11(1983), 157-162.
${ }^{[5]}$ L. K. Hyung, Y. S. Song, K. M. Lee, Similarity measures between Fuzzy Sets and between elements, Fuzzy Sets and Systems, 62(3)(1994), 291-293.
S. K. Khan, A. K. Shyamal, M. Pal, Intuitionistic fuzzy matrices, Notes on Intuitionistic Fuzzy Sets, 8(2)(2002), 51-62.
S. K. Khan, A. Pal, The Generalised inverse of intuitionistic fuzzy matrices, J. of Physical Sciences, 11(2007), 62-67.
Z. Liang, P. Shi, Similarity measures on intuitionistic fuzzy sets, Pattern Recognition Letters, 24(2003), 26872693.
D. Li, C. Cheng, New Similarity measures on Intuitionistic Fuzzy Sets and application to pattern recognition, Pattern recognition Letters, 23(1-3)(2002), 221-225.
S. Mondal, M. Pal, Intuitionistic fuzzy incline matrix and determinant, Annals of Fuzzy Math. and Informatics, $8(1)(2014), 19-32$.
S. Mondal, Similarity relation, eigen values and eigen vectors of bipolar fuzzy matrix, J. of Intel. and Fuzzy Systems, 30(4)(2016), 2297-2307.
T. Muthuraji, S. Sriram, P. Murugadas, Decomposition of intuitionistic fuzzy matrices, Fuzzy Infor. and Eng., $8(3)(2016), 345-354$.
M. Pal, S. Mondal, Bipolar fuzzy matrices, Soft Computing, 23(2019), 9885-9897.
R. Pradhan, M. Pal, The generalized inverse of atanassovs intuitionistic fuzzy matrices, Int. J. of Comput. Intel. Systems, 7(6)(2014), 1083-1095.
R. Pradhan, M. Pal, Triangular fuzzy matrix norm and its properties, The J. of Fuzzy Math., 25(4)(2017), 823-834.
S. Sriram, P. Murugadas, On semiring of intuitionistic fuzzy matrices, Appl. Mathematical Sciences, $4(23)(2010), 1099-1105$.
W. J. Wang, New Similarity measures on Fuzzy Sets and on elements, Fuzzy Sets and Systems, 85(3)(1997), 305-309.
L. A. Zadeh, Fuzzy sets, Infor. and Control, 8(3)(1965), $338-353$.
- NA
Similar Articles
- U. Aswathy, Charles Dominic, 3-Successive C-edge coloring of graphs , Malaya Journal of Matematik: Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
