Interval valued fuzzy soft set was a combination of the interval valued fuzzy set and soft set, while in generalized interval valued fuzzy soft set a degree was attached with the parameterization of fuzzy sets in defining an interval valued fuzzy soft set. In this paper we introduced the concept of generalized interval valued fuzzy soft matrices. We discussed some of its types and some operations. We also discussed about the similarity of two generalized interval valued fuzzy soft matrices.
| Published in | American Journal of Mathematical and Computer Modelling (Volume 3, Issue 1) |
| DOI | 10.11648/j.ajmcm.20180301.11 |
| Page(s) | 1-9 |
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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. |
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Copyright © The Author(s), 2018. Published by Science Publishing Group |
Interval Valued Fuzzy Soft Set (IVFSS), Generalized Fuzzy Soft Set, Generalized IVFSS, Similarity
| [1] | B. V. Gnedenko, “The Theory of Probability”, Chelsea, New York, NY, USA, (1962). |
| [2] | L. A. Zadeh, “Fuzzy sets,” Information and Computation, vol. 8, pp. 338–353, 1965. |
| [3] | Z. Pawlak, “Rough sets,” International Journal of Computer and Information Sciences, 11( 5), 341–356 (1982). |
| [4] | L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning-I,” vol. 8, pp. 199–249, 1975. |
| [5] | K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 20(1), pp. 87–96, 1986. |
| [6] | D. Molodtsov, “Soft set theory—first results,” Computers & Mathematics with Applications, vol. 37(4-5), pp. 19–31, 1999. |
| [7] | P. K. Maji, R. Biswas, and A. R. Roy, “Soft set theory,” Computers & Mathematics with Applications, vol. 45 (4-5), pp. 555–562, 2003. |
| [8] | M. I. Ali, F. Feng, X. Liu, W. K. Min, and M. Shabir, “On some new operations in soft set theory”, Computers & Mathematics with Applications, vol. 57(9), pp. 1547–1553, 2009. |
| [9] | P. K. Maji, R. Biswas, and A. R. Roy, “Fuzzy soft sets,” Journal of Fuzzy Mathematics, vol. 9(3), pp. 589–602, 2001. |
| [10] | A. R. Roy and P. K. Maji, “A fuzzy soft set theoretic approach to decision making problems,” Journal of Computational and Applied Mathematics, vol. 203(2), pp. 412–418, 2007. |
| [11] | X. Yang, T. Y. Lin, J. Yang, Y. Li, and D. Yu, “Combination of interval-valued fuzzy set and soft set,” Computers & Mathematics with Applications, vol. 58(3), pp. 521–527, 2009. |
| [12] | Majumdar and S. K. Samanta, “Generalised fuzzy soft sets,” Computers & Mathematics with Applications, vol. 59(4), pp. 425–1432, 2010. |
| [13] | B. K. Saikia, H. Boruah and P. K. Das, “An Applications of Generalized Fuzzy Soft Matrices in Decision Making Problem”, IOSR Journal of Mathematics, vol. 10 (1), pp. 33-41, 2014. |
| [14] | Shawkat Alkhazaleh, Abdul Razak Salleh, “Generalised Interval-Valued Fuzzy Soft Set”, Journal of Applied Mathematics, (2012). doi:10.1155/2012/870504 |
| [15] | Mi Jung Son, “Interval-valued Fuzzy Soft Sets”, Journal of Korean Institute of Intelligent Systems, vol. 17(4), pp. 557-562, 2007. |
| [16] | P. Rajarajeswari, P. Dhanalakshmi, “Interval-valued fuzzy soft matrix theory”, Annals of Pure and Applied Mathematics, vol. 7(2), pp. 61-72, 2014. |
| [17] | Zulqarnain. M and M. Saeed, “An application of interval valued fuzzy soft matrix in decision making”, Science International (Lahore), vol. 28(3), pp. 2261-2264, 2016. |
| [18] | Anjan Mukherjee and Sadhan Sarkar, “Distance based similarity measures for interval-valued intuitionistic fuzzy soft sets and its application”, New Trends in Mathematical Sciences, vol. 3(4), pp. 34-42, 2015. |
| [19] | Anjan Mukherjee and Sadhan Sarkar, “Similarity measures for interval-valued intuitionistic fuzzy soft sets and its application in medical diagnosis problem”, New Trends in Mathematical Sciences, vol. 2(3), pp.159-165, 2014. |
| [20] | B. Chetia and P. K. Das, “An application of interval valued fuzzy soft sets in medical diagnosis”, Int. J. Contemp. Math. Sciences, Vol. 5(38), pp. 1887 – 1894, 2010. |
| [21] | Zhi Xiao Weijie Chen and Lingling Li, “A method based on interval-valued fuzzy soft set for multi-attribute group decision-making problems under uncertain environment” Knowl Inf Syst, vol. 34, pp. 653–669, 2013. |
| [22] | M. Zulqarnain1 and M. Saeed, “A New Decision Making Method on Interval Valued Fuzzy Soft Matrix (IVFSM)”, British Journal of Mathematics & Computer Science, vol. 20(5), pp. 1-17, 2017. |
| [23] | Sarala N. and Prabharathi M., “An application of interval valued fuzzy soft matrix in medical diagnosis” IOSR Journal of Mathematics, vol. 11(1), pp. 01-06, 2015. |
| [24] | Zulqarnain M, Saeed M and Tabasum F., “Comparison between fuzzy soft matrix (FSM) and interval valued fuzzy soft matrix (IVFSM) in decision making”, Science International (Lahore), vol. 28(5), pp. 4277-4283, 2016. |
| [25] | Sarala N, Prabharathi M., “An application of interval valued fuzzy soft matrix in decision making problem”, International Journal of Mathematics Trends and Technology, vol. 21(1).2015. |
| [26] | Manash Jyoti Borah, Tridiv Jyoti Neog and Dusmata Kumar Sut, “Fuzzy Soft Matrix Theory and its Decision Making”, International Journal of Modern Egineering Researh, vol. 2 (2), pp. 121-127, 2012. |
APA Style
Fazal Dayan, Muhammad Zulqarnain. (2018). On Generalized Interval Valued Fuzzy Soft Matrices. American Journal of Mathematical and Computer Modelling, 3(1), 1-9. https://doi.org/10.11648/j.ajmcm.20180301.11
ACS Style
Fazal Dayan; Muhammad Zulqarnain. On Generalized Interval Valued Fuzzy Soft Matrices. Am. J. Math. Comput. Model. 2018, 3(1), 1-9. doi: 10.11648/j.ajmcm.20180301.11
AMA Style
Fazal Dayan, Muhammad Zulqarnain. On Generalized Interval Valued Fuzzy Soft Matrices. Am J Math Comput Model. 2018;3(1):1-9. doi: 10.11648/j.ajmcm.20180301.11
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Download@article{10.11648/j.ajmcm.20180301.11,
author = {Fazal Dayan and Muhammad Zulqarnain},
title = {On Generalized Interval Valued Fuzzy Soft Matrices},
journal = {American Journal of Mathematical and Computer Modelling},
volume = {3},
number = {1},
pages = {1-9},
doi = {10.11648/j.ajmcm.20180301.11},
url = {https://doi.org/10.11648/j.ajmcm.20180301.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmcm.20180301.11},
abstract = {Interval valued fuzzy soft set was a combination of the interval valued fuzzy set and soft set, while in generalized interval valued fuzzy soft set a degree was attached with the parameterization of fuzzy sets in defining an interval valued fuzzy soft set. In this paper we introduced the concept of generalized interval valued fuzzy soft matrices. We discussed some of its types and some operations. We also discussed about the similarity of two generalized interval valued fuzzy soft matrices.},
year = {2018}
}
TY - JOUR T1 - On Generalized Interval Valued Fuzzy Soft Matrices AU - Fazal Dayan AU - Muhammad Zulqarnain Y1 - 2018/03/30 PY - 2018 N1 - https://doi.org/10.11648/j.ajmcm.20180301.11 DO - 10.11648/j.ajmcm.20180301.11 T2 - American Journal of Mathematical and Computer Modelling JF - American Journal of Mathematical and Computer Modelling JO - American Journal of Mathematical and Computer Modelling SP - 1 EP - 9 PB - Science Publishing Group SN - 2578-8280 UR - https://doi.org/10.11648/j.ajmcm.20180301.11 AB - Interval valued fuzzy soft set was a combination of the interval valued fuzzy set and soft set, while in generalized interval valued fuzzy soft set a degree was attached with the parameterization of fuzzy sets in defining an interval valued fuzzy soft set. In this paper we introduced the concept of generalized interval valued fuzzy soft matrices. We discussed some of its types and some operations. We also discussed about the similarity of two generalized interval valued fuzzy soft matrices. VL - 3 IS - 1 ER -
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