1
Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan
(aymanha@jadara.edu.jo)
Abstract :
As a generalization of fuzzy soft sets, we present the idea of time-effective fuzzy soft sets (T-EFSS) in this study. Additionally, i will describe its fundamental operations complement, union intersection, AND, and OR—and examine their characteristics. I will finally provide two applications of this idea to decision-making situations. The second application that neurosophic Membership offers In addition, to demonstrate influence over variables that might impact membership values following application.
Keywords :
soft set; fuzzy soft set;time-fuzzy soft set; effective fuzzy soft set; Neutrosophic set
References :
[1] D. Molodtsov, Soft set theory–first results, Computers & Mathematics with Applications 37(2)(1999) 19–31.
[2] D. Chen, E. C. C. Tsang, D. S. Yeung and X. Wang, The parameterization reduction of soft sets and its application, Computers & Mathematics with Applications 49(2005) 757–763.
[3] P. K. Maji, A. R. Roy and R. Biswas, Soft set theory, Computers & Mathematics with Applications, 54 (4–5)(2003) 555–562.
[4] P. K. Maji, A. R. Roy and R. Biswas, An application of soft sets in a decision making problem, Computers & Mathematics with Applications44 (8–9)(2002) 1077–1083.
[5] P. K. Maji, A. R. Roy and R. Biswas, Fuzzy soft sets, Journal of Fuzzy Mathematics 9 (3)(2001) 589–602.
[6] R. Roy and P. K. Maji, A fuzzy soft set theoretic approach to decision making problems, Journal of Computational and Applied Mathematics 203 (2)(2007) 412–418.
[7] S. Alkhazaleh, A. R. Salleh and N. Hassan, Soft multisets theory, Applied Mathematical Sciences 5(72)(2011) 3561–3573.
[8] S. Alkhazaleh, A. R. Salleh and N. Hassan, Fuzzy parameterized interval-valued fuzzy soft set, Applied Mathematical Sciences 5(67)(2011) 3335–3346.
[9] S. Alkhazaleh, A. R. Salleh and N. Hassan, Possibility Fuzzy Soft Set, Advances in Decision Sciences 2011(2011) 18 pages.
[10] S. Alkhazaleh and A. R. Salleh, Soft expert sets, Advances in Decision Sciences 2011(2011) 15 pages.
[11] S. Alkhazaleh and A. R. Salleh, Fuzzy Soft expert sets, Journal of Applied Mathematics, Hindawi Publishing Corporation: submitted.
[12] N. C¸ aˇgman and F. Citak and S. Engino¨glu, Fuzzy parameterized fuzzy soft set theory and its applications, Turkish Journal of Fuzzy Systems 1(1)(2010) 21–35.
[13] A. R. Salleh, From soft sets to intuitionistic fuzzy soft sets: a brief survey, Proceedings International Seminar on the Current Research Progress in Sciences and Technology 2011 (ISSTech 2011), 2011, Universiti Kebangsaan Malaysia - Universitas Indonesia, Bandung.
[14] Hazaymeh, Ayman Abdelkarim Mohammad. Fuzzy Soft Set And Fuzzy Soft Expert Set: Some Generalizations And Hypothetical Applications. Diss. Universiti Sains Islam Malaysia, 2013.
[15] F. Smarandache, Neutrosophic set, a generalisation of the intuitionistic fuzzy sets, Inter. J.Pure Appl. Math. 24 (2005) 287-297.
[16] P. K. Maji, Neutrosophic soft set, Annals of Fuzzy Mathematics and Informatics 5 2013 157–168.
[17] Broumi, Said, Irfan Deli, and Florentin Smarandache. ”Neutrosophic parametrized soft set theory and its decision making.” Collected Papers. Volume X: On Neutrosophics, Plithogenics, Hypersoft Set, Hypergraphs, and other topics (2022): 40.
[18] Broumi, Said, Assia Bakali, and Ayoub Bahnasse. ”Neutrosophic sets: An overview.” Infinite Study (2018).
[19] Alkhazaleh, Shawkat. ”Time-neutrosophic soft set and its applications.” Journal of Intelligent Fuzzy Systems 30.2 (2016): 1087-1098.
[20] S. Alkhazaleh, Shawkat, and Ayman A. Hazaymeh, N-valued refined neutrosophic soft sets and their applications in decision making problems and medical diagnosis, Journal of Artificial Intelligence and Soft Computing Research 8(1)(2018)79–86.
| Style | # |
|---|---|
| MLA | Ayman Hazaymeh. "Time Effective Fuzzy Soft Set and Its Some Applications with and Without a Neutrosophic." International Journal of Neutrosophic Science, Vol. 23, No. 2, 2024 ,PP. 129-149 (Doi : https://doi.org/10.54216/IJNS.230211) |
| APA | Ayman Hazaymeh. (2024). Time Effective Fuzzy Soft Set and Its Some Applications with and Without a Neutrosophic. Journal of International Journal of Neutrosophic Science, 23 ( 2 ), 129-149 (Doi : https://doi.org/10.54216/IJNS.230211) |
| Chicago | Ayman Hazaymeh. "Time Effective Fuzzy Soft Set and Its Some Applications with and Without a Neutrosophic." Journal of International Journal of Neutrosophic Science, 23 no. 2 (2024): 129-149 (Doi : https://doi.org/10.54216/IJNS.230211) |
| Harvard | Ayman Hazaymeh. (2024). Time Effective Fuzzy Soft Set and Its Some Applications with and Without a Neutrosophic. Journal of International Journal of Neutrosophic Science, 23 ( 2 ), 129-149 (Doi : https://doi.org/10.54216/IJNS.230211) |
| Vancouver | Ayman Hazaymeh. Time Effective Fuzzy Soft Set and Its Some Applications with and Without a Neutrosophic. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 2 ): 129-149 (Doi : https://doi.org/10.54216/IJNS.230211) |
| IEEE | Ayman Hazaymeh, Time Effective Fuzzy Soft Set and Its Some Applications with and Without a Neutrosophic, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 2 , (2024) : 129-149 (Doi : https://doi.org/10.54216/IJNS.230211) |