Intuitionistic Fuzzy set (IFS) theory plays an important role in real life and engineering problems. There are many model involving fuzzy matrices to deal with different complicated aspects. Intuitionistic fuzzy set (IFS) is useful in providing a flexible model for developing the uncertainty and vagueness involved in making decisions where the theories of uncertainty are very useful to treat with mathematics that needs to address. In other words, the application of intuitionistic fuzzy sets instead of fuzzy sets means the introduction of another degree of freedom into a set description. Intuitionistic fuzzy set (IFS) called the generalization of fuzzy sets was proposed in K. T. Atanassov. So, we can use it in decision making. We examined the definition of IFS and puts new definitions of IFS (Intuitionistic fuzzy set) in this paper and suggested its implementation in the Corona Covid-19. For several similar real-life cases the suggested approach can be applied.
| Published in | Applied and Computational Mathematics (Volume 9, Issue 5) |
| DOI | 10.11648/j.acm.20200905.11 |
| Page(s) | 146-154 |
| 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), 2020. Published by Science Publishing Group |
Fuzzy Sets, Intuitionistic Fuzzy Sets, Corona Covid-19, Corona Covid-19 Determination
| [1] | A. M Kozae, H. M. Abodonia, Granular computing, biapproximation spaces, 2005 IEEE international conference on Granular computing, 1, 167-170. |
| [2] | E. Szmidt, Distances and similarities in intuitionistic fuzzy sets, Springer (2014). |
| [3] | E. Szmidt, J. Kacprzyk, Distances between intuitionistic fuzzy Sets, Fuzzy Sets and Systems 114 (3) (2000) 505-518. |
| [4] | E. Szmidt, J. Kacprzyk, Intuitionistic fuzzy sets in some medical applications, Note on IFS 7 (4) (2001) 58-64. |
| [5] | E. Szmidt, J. Kacprzyk, Medical diagnostic reasoning using a Similarity measure for intuitionistic fuzzy sets, Note on IFS 10 (4) (2004) 61-69. |
| [6] | E. Szmidt, J. Kacprzyk, On measuring distances between intuitionistic fuzzy Sets, Notes on IFS 3 (4) (1997) 1-3. |
| [7] | K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986) 87-96. |
| [8] | K. T. Atanassov, Intuitionistic fuzzy sets: theory and application, Springer (1999). |
| [9] | K. T. Atanassov, Intuitionistic fuzzy sets, VII ITKR's Session, Sofia, 1983. |
| [10] | K. T. Atanassov, New operations defined over intuitionistic fuzzy sets, Fuzzy Sets and Systems Vol. 61, 2 (1994) 137-142. |
| [11] | K. T. Atanassov, On Intuitionistic fuzzy sets, Springer (2012). |
| [12] | L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 338-353. |
| [13] | MEA El-Monsef, A M Kozae, Al El-Maghrabi, Some Semi topologicalapplications on rough set, J. Egypt Math. Soc 12, 45-53, 2004. |
| [14] | S. K. De, R. Biswas, A. R. Roy, An application of intuitionistic fuzzy sets in medical diagnostic, Fuzzy sets and systems 117 (2) (2001) 209-213. |
| [15] | T. K. Shinoj, J. J. Sunil, Intuitionistic Fuzzy multisets and it application in medical diagnosis, International journal of mathematical and computational sciences 6 (2012) 34-38. |
| [16] | W. Wang, X. Xin, Distance measure between intuitionistic fuzzy sets. Pattern Recognition Letters 26 (2005) 2063-2069. |
| [17] | A. M. Kozae, Assem Elshenawy, Manar Omran. Intuitionistic Fuzzy Set and Its Application in Selecting Specialization: A Case Study for Engineering Students. International Journal of Mathematical Analysis and Applications. Vol. 2, No. 6, 2015, pp. 74-78. |
APA Style
Abdelmonem Mohamed Kozae, Mohamed Shokry, Manar Omran. (2020). Intuitionistic Fuzzy Set and Its Application in Corona Covid-19. Applied and Computational Mathematics, 9(5), 146-154. https://doi.org/10.11648/j.acm.20200905.11
ACS Style
Abdelmonem Mohamed Kozae; Mohamed Shokry; Manar Omran. Intuitionistic Fuzzy Set and Its Application in Corona Covid-19. Appl. Comput. Math. 2020, 9(5), 146-154. doi: 10.11648/j.acm.20200905.11
AMA Style
Abdelmonem Mohamed Kozae, Mohamed Shokry, Manar Omran. Intuitionistic Fuzzy Set and Its Application in Corona Covid-19. Appl Comput Math. 2020;9(5):146-154. doi: 10.11648/j.acm.20200905.11
Share This Article
Twitter
Linked In
Facebook
Copy
Download@article{10.11648/j.acm.20200905.11,
author = {Abdelmonem Mohamed Kozae and Mohamed Shokry and Manar Omran},
title = {Intuitionistic Fuzzy Set and Its Application in Corona Covid-19},
journal = {Applied and Computational Mathematics},
volume = {9},
number = {5},
pages = {146-154},
doi = {10.11648/j.acm.20200905.11},
url = {https://doi.org/10.11648/j.acm.20200905.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20200905.11},
abstract = {Intuitionistic Fuzzy set (IFS) theory plays an important role in real life and engineering problems. There are many model involving fuzzy matrices to deal with different complicated aspects. Intuitionistic fuzzy set (IFS) is useful in providing a flexible model for developing the uncertainty and vagueness involved in making decisions where the theories of uncertainty are very useful to treat with mathematics that needs to address. In other words, the application of intuitionistic fuzzy sets instead of fuzzy sets means the introduction of another degree of freedom into a set description. Intuitionistic fuzzy set (IFS) called the generalization of fuzzy sets was proposed in K. T. Atanassov. So, we can use it in decision making. We examined the definition of IFS and puts new definitions of IFS (Intuitionistic fuzzy set) in this paper and suggested its implementation in the Corona Covid-19. For several similar real-life cases the suggested approach can be applied.},
year = {2020}
}
TY - JOUR T1 - Intuitionistic Fuzzy Set and Its Application in Corona Covid-19 AU - Abdelmonem Mohamed Kozae AU - Mohamed Shokry AU - Manar Omran Y1 - 2020/09/03 PY - 2020 N1 - https://doi.org/10.11648/j.acm.20200905.11 DO - 10.11648/j.acm.20200905.11 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 146 EP - 154 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20200905.11 AB - Intuitionistic Fuzzy set (IFS) theory plays an important role in real life and engineering problems. There are many model involving fuzzy matrices to deal with different complicated aspects. Intuitionistic fuzzy set (IFS) is useful in providing a flexible model for developing the uncertainty and vagueness involved in making decisions where the theories of uncertainty are very useful to treat with mathematics that needs to address. In other words, the application of intuitionistic fuzzy sets instead of fuzzy sets means the introduction of another degree of freedom into a set description. Intuitionistic fuzzy set (IFS) called the generalization of fuzzy sets was proposed in K. T. Atanassov. So, we can use it in decision making. We examined the definition of IFS and puts new definitions of IFS (Intuitionistic fuzzy set) in this paper and suggested its implementation in the Corona Covid-19. For several similar real-life cases the suggested approach can be applied. VL - 9 IS - 5 ER -
Information
Email: