Spherical fuzzy and soft topology: some applications
Authors
A. A. Azzam
- Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia.
- Department of Mathematics, Faculty of Science, Valley University, Elkharga 72511, Egypt.
Abstract
A generalized soft set model that is more accurate, useful, and realistic is the spherical fuzzy soft set. So, the fuzzy soft topological models in use can be extended to create spherical fuzzy soft topological spaces, which are valuable for expressing unreliable data in real-world applications. Subbase, separation axioms, compactness, and connectedness are all defined in this work. To examine these notions' features, we also investigate their forefathers. The application of a decision-making algorithm is then demonstrated, and a numerical example is used to describe how it can be used.
Share and Cite
ISRP Style
A. A. Azzam, Spherical fuzzy and soft topology: some applications, Journal of Mathematics and Computer Science, 32 (2024), no. 2, 152--159
AMA Style
Azzam A. A., Spherical fuzzy and soft topology: some applications. J Math Comput SCI-JM. (2024); 32(2):152--159
Chicago/Turabian Style
Azzam, A. A.. "Spherical fuzzy and soft topology: some applications." Journal of Mathematics and Computer Science, 32, no. 2 (2024): 152--159
Keywords
- \(Sfs\)-set
- \(Sfs\)-topology
- \(Sfs\)-subspace
- \(Sfs\)-separation axioms
- \(Sfs\)-connectedness and \(Sfs\)-compactness
MSC
References
-
[1]
M. Akram, Spherical fuzzy K-algebras, J. Algebr. Hyperstruct. Log. Algebras, 2 (2021), 85–98
-
[2]
J. C. R. Alcantud , A. Z. Khameneh, A. Kilicman, Aggregation of infinite chains of intuitionistic fuzzy sets and their application to choices with temporal intuitionistic fuzzy information, Inform. Sci., 514 (2020), 106–117
-
[3]
T. M. Al-shami, (2,1)-Fuzzy sets: properties, weighted aggregated operators and their applications to multi-criteria decisionmaking methods, Complex Intell. Syst., 9 (2023), 1687–1705
-
[4]
T. M. Al-shami, Z. A. Ameen, A. A. Azzam, M. E. El-Shafei, Soft separation axioms via soft topological operators, AIMS Math., 7 (2022), 15107–15119
-
[5]
T. M. Al-shami, H. Z. Ibrahim, A. A. Azzam, A. I. EL-Maghrabi, SR-Fuzzy Sets and Their Weighted Aggregated Operators in Application to Decision-Making, J. Funct. Spaces, 2022 (2022), 14 pages
-
[6]
T. M. Al-shami, A. Mhemdi, Generalized Frame for Orthopair Fuzzy Sets: (m, n)-Fuzzy Sets and Their Applications to Multi-Criteria Decision-Making Methods, Information, 14 (2023), 1–21
-
[7]
S. Ashraf, S. Abdullah, T. Mahmood, F. Ghani, T. Mahmood, Spherical fuzzy sets and their applications in multiattribute decision making problems, J. Intell. Fuzzy Syst., 36 (2019), 2829–2844
-
[8]
K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87–96
-
[9]
K. T. Atanassov, Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64 (1994), 159–174
-
[10]
K. Atanassov, G. Gargov, Interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 31 (1989), 343–349
-
[11]
B. C. Cuong, V. Kreinovich, Picture fuzzy sets-a new concept for computational intelligence problems, In: Proceedings of the Third World Congress on Information and Communication Technologies, IEEE, (2013), 1–6
-
[12]
S. K. De, R. Biswas, A. R. Roy, An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets and Systems, 117 (2001), 209–213
-
[13]
H. Garg, F. Perveen P. A, S. J. John, L. Perez-Dominguez, Spherical fuzzy soft topology and its application in group decision-making problems, Math. Probl. Eng., 2022 (2022), 1–19
-
[14]
W. L. Gau, D. J. Buehrer, Vague sets, IEEE Trans. Syst. Man Cybern., 23 (1993), 610–614
-
[15]
A. M. Khalil, N. Hassan, Inverse fuzzy soft set and its application in decision making, Int. J. Inf. Decis. Sci., 11 (2019), 73–92
-
[16]
M. R. Khan, K. Ullah, D. Pamucar, M. Bari, Performance measure using a multi-attribute decision making approach based on Complex T-spherical fuzzy power aggregation operators, J. Comput. Cogn. Eng., 1 (2022), 138–146
-
[17]
T. Mahmood, K. Ullah, Q. Khan, N. Jan, An approach toward decision-making and medical diagnosis problems using the concept of spherical fuzzy sets, Neural Comput. Appl., 31 (2019), 7041–7053
-
[18]
P. Majumdar, S. K. Samanta, Generalised fuzzy soft sets, Comput. Math. Appl., 59 (2010), 1425–1432
-
[19]
P. K. Maji, R. Biswas, A. R. Roy, Fuzzy soft sets, J. Fuzzy Math., 9 (2001), 589–602
-
[20]
D. Molodtsov, Soft set theory—first results, Comput. Math. Appl., 37 (1999), 19–31
-
[21]
M. Olgun, M. Unver, S. Yardımcı, Pythagorean fuzzy topological spaces, Complex Intell. Syst., 5 (2019), 177–183
-
[22]
P. A. F. Perveen, S. J. John, A similarity measure of spherical fuzzy soft sets and its application, AIP Conf. Proc., 2336 (2021), 1–7
-
[23]
F. Perveen P. A, J. J. Sunil, K. V. Babitha, H. Garg, Spherical fuzzy soft sets and its applications in decision-making problems, J. Intell. Fuzzy Syst., 37 (2019), 8237–8250
-
[24]
R. R. Yager, Pythagorean fuzzy subsets, Pythagorean fuzzy subsets, In: 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), IEEE, (2013), 57–61
-
[25]
R. R. Yager, A. M. Abbasov, Pythagorean membership grades, complex numbers and decision making, Int. J. Intell. Syst., 28 (2013), 436–452
-
[26]
L. A. Zadeh, Fuzzy sets, Inf. Control, 8 (1965), 338–353
-
[27]
A. A. Zanyar, T. M. Al-shami, A. A. Azzam, A. Mhemdi, A novel fuzzy structure: infra-fuzzy topological spaces, J. Funct. Spaces, 2022 (2022), 11 pages