1
Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ;
(tunis.m.ali@st.tu.edu.iq)
2
Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ;
(dr.fatimahmahmood@tu.edu.iq)
Abstract :
Our purpose in this paper, is to introduce some of new continuous functions, called fuzzy neutrosophic perfectly continuous, fuzzy neutrosophic almost perfectly continuous and fuzzy neutrosophic strongly continuous in the fuzzy neutrosophic topological spaces. We give some theorems, propositions and some necessary examples related to presented definitions. Then, we discuss the relations among the new defined functions.
Keywords :
Fuzzy Neutrosophic Sets; Fuzzy Neutrosophic Topology; Fuzzy Neutrosophic Perfectly Continuous; Fuzzy Neutrosophic Almost Perfectly Continuous; Fuzzy Neutrosophic Strongly Continuous.
References :
1. L. Zadeh, “Fuzzy sets”, Information and control, vol.8, pp. 338-353, 1965.
2. K. Atanassov and S. Stoeva, “Intuitionistic Fuzzy Sets, in: Polish Syrup. On Interval & Fuzzy
Mathematics”, Poznan, pp.23-26, 1983.
3. K. Atanassov, “Review and New Results on Intuitionistic Fuzzy Sets”, Preprint IM- MFAIS, Sofia, pp.1-88,
1988.
4. K. Atanassov, “Intuitionistic fuzzy sets. Fuzzy Sets and Systems”, vol.20(1), pp.87-96, 1986.
5. F. Smarandache, “Neutrosophic set- a generalization of intuitionistic fuzzy sets”, International Journal of
Pure and Applied Mathematics, vol. 24(3), pp.287-297, 2005.
6. F. Smaradache, “Neutrosophic Set A Generalization of Intuitionistic Fuzzy set”, Journal of Defense
Resourses Management, vol. 1, pp.107-114, 2010.
7. A. Salama and S. Alblowi, “Generalized Neutrosophic Sets and Generalized Neutrosophic Topological
Spaces”, Journal Compiter Sci. Engineering, vol.2 (7), pp.12-23, 2012.
8. Y. Veereswari, “An Introduction to Fuzzy Neutrosophic Topological Spaces”, IJMA, vol. 8, pp.144-149,
2017.
9. F. M. Mohammed, A. A. Hijab and Sh. F. Matar, “Fuzzy Neutrosophic Weakly- Generalized closed set in
Fuzzy Neutrosophic Topological Spaces”, University of Anbar for Pure Science,vol. 12, pp. 63-73, 2018.
10. F. M. Mohammed, “Generalized b Closed Sets and Generalized b Open Sets in Fuzzy Neutrosophic bi-
Topological Spaces”, Neutrpsophic Sets and Systems, vol. 35, 188-197,2020.
11. F. M. Mohammed and N.N. Sabry, “On Separation Sxioms with New Constructions in Fuzzy Neutrosophic
Topological Spaces”, AIP Conference Proceedings, 2021 (in press).
12. F. M. Mohammed and S.W. Raheem, “Weakly b-Closed Sets and Weakly b-Open Sets based of Fuzzy
Neutrosophic bi-Topological Spaces”, International Journal of Neutrosophic Science, vol. 8(1), pp.34-43,
2020.
13. T. M. Nour, “A note of perfectly continuous functions”, European International Journal of Science and
Technology, vol.8(3), pp. 91-93, 2019.
14. M. Parimala , M. Karthika , F. Smarandache and S. Broumi, “On αω-closed sets and its connectedness in
terms of neutrosophic topological spaces”, International Journal of Neutrosophic Science, vol. 2(2), pp. 82-
88 , 2020.
15. V. Christianto, F. Smarandache and M. Aslam, “How we can extend the standard deviation notion with
neutrosophic interval and quadruple neutrosophic numbers”, International Journal of Neutrosophic Science,
vol. 2(2), pp.72-76 , 2020.
16. Al-Hamido, R.K., “A New Approach Of Neutrosophic Topological space”, International Journal of
Neutrosophic Science, Vol 7, pp 55-61, 2020.
17. Arokiarani, I., Dhavaseelan, R., Jafari, S., and Parimala, M., “On some new notions and functions in
neutrosophic topological space”, Neutrosophic Sets and Systems, Vol 16, pp 16-19, 2017.
18. Smarandache, F., and Pramanik, S.,“New Neutrosophic Sets via Neutrosophic Topological Spaces”,
Neutrosophic Operational Research, Pons Editions: Brussels, Belgium, Vol I, pp. 189-209, 2017.
19. Al-Omeri, W., and Jafari, S., “On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic
Topological Spaces”, Mathematics, Vol 7, pp 1-12, 2018.
20. Al-Omeri, W.F., and Jafari, S., “Neutrosophic pre-continuous multifunctions and almost pre-continuous
multifunctions”, Neutrosophic Sets and Systems, Vol 27, pp 53-69, 2019.
21. Vadivel, A., Seenivasan, M., and John Sundar, C., “An Introduction to δ-open sets in a Neutrosophic
Topological Spaces”, Journal of Physics: Conference Series, 1724, 012011, 2021.
22. Vadivel, A.; John Sundar, C. Neutrosophic δ-Open Maps and Neutrosophic δ-Closed Maps. International
Journal of Neutrosophic Science (IJNS) 2021, Vol 13 (2), pp 66-74.
23. Vadivel, A.; Thangaraja, P.; John Sundar, C. Neutrosophic e-continuous maps and neutrosophic e-irresolute
maps. Turkish Journal of Computer and Mathematics Education 2021, Vol 12 (1S), pp 369-375.
24. Vadivel, A.; Thangaraja, P.; John Sundar, C. Neutrosophic e-Open Maps, Neutrosophic e-Closed Maps and
Neutrosophic e-Homeomorphisms in Neutrosophic Topological Spaces. AIP Conference Proceedings 2021,
2364, 020016.
| Style | # |
|---|---|
| MLA | Tunis M. Ali, Fatimah M. Mohammed. "Some Perfectly Continuous Functions via Fuzzy Neutrosophic Topological Spaces." International Journal of Neutrosophic Science, Vol. 18, No. 4, 2022 ,PP. 147-182 (Doi : https://doi.org/10.54216/IJNS.180416) |
| APA | Tunis M. Ali, Fatimah M. Mohammed. (2022). Some Perfectly Continuous Functions via Fuzzy Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, 18 ( 4 ), 147-182 (Doi : https://doi.org/10.54216/IJNS.180416) |
| Chicago | Tunis M. Ali, Fatimah M. Mohammed. "Some Perfectly Continuous Functions via Fuzzy Neutrosophic Topological Spaces." Journal of International Journal of Neutrosophic Science, 18 no. 4 (2022): 147-182 (Doi : https://doi.org/10.54216/IJNS.180416) |
| Harvard | Tunis M. Ali, Fatimah M. Mohammed. (2022). Some Perfectly Continuous Functions via Fuzzy Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, 18 ( 4 ), 147-182 (Doi : https://doi.org/10.54216/IJNS.180416) |
| Vancouver | Tunis M. Ali, Fatimah M. Mohammed. Some Perfectly Continuous Functions via Fuzzy Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, (2022); 18 ( 4 ): 147-182 (Doi : https://doi.org/10.54216/IJNS.180416) |
| IEEE | Tunis M. Ali, Fatimah M. Mohammed, Some Perfectly Continuous Functions via Fuzzy Neutrosophic Topological Spaces, Journal of International Journal of Neutrosophic Science, Vol. 18 , No. 4 , (2022) : 147-182 (Doi : https://doi.org/10.54216/IJNS.180416) |