1
Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Iraq
(eps.alaamahmood.farhan@uoanbar.edu.iq)
Abstract :
The main objective of the present this article is to apply another generalized form of neutrosophic open sets namely,neutrosophic δ-ß-open sets to introduce and study a completely description for another new concept of generalized neutrosophic continuous maps namely, neutrosophic δ-ß-continuous maps in neutrosophic topological spaces. Several of the fundamental properties related to this kind of neutrosophic continuous maps have been investigated. In addition, the interrelationships between this kind of maps and other well-known related neutrosophic maps have been discussed. On the other hand, new class of generalized neutrosophic maps namely, neutrosophic δ-ß-irresolute maps has been studied, and some of the essential properties concerning of this class of generalized neutrosophic maps have been introduced. Moreover, various suitable examples to support of these results have been provided.
Keywords :
Neutrosophic δ-ß-open sets; neutrosophic δ-ß-continuous maps; neutrosophic δ-ß- irresolute maps; neutrosophic δ-ß- U1/2 space
References :
[1] Smarandache F. A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability, American Research Press: Rehoboth, NM, 1999.
[2] L. A. Zadeh, Fuzzy sets, Information and control, 8, 338-353, (1965).
[3] A. A. Salama and S. A. Alblowi, Neutrosophic set and neutrosophic topological spaces, IOSR Journal of Mathematics, 3 (4), 31-35, (2012).
[4] F. Al-Sharqi, Y. Al-Qudah and N. Alotaibi, Decision-making techniques based on similarity measures of possibility neutrosophic soft expert sets. Neutrosophic Sets and Systems, 55(1) (2023), 358-382.
[5] Arokiarani, I., Dhavaseelan, R., Jafari, S., & Parimala, M. (2017). On some new notions and functions in neutrosophic topological spaces. Neutrosophic sets and systems, 16(1), 4.
[6] A. M. Al Musawi, S. M Khalil, M. A. Ulrazaq, Soft (1,2)-strongly open maps in bi-topological spaces, IOP Conference Series: Materials Science and Engineering, 571 (2019), 012002.
[7] A. A. Salama, F. Smarandache and S. A. Alblowi, Characteristic function of neutrosophic set, Neutrosophic Sets and Systems, 3, 14-17, (2014). [8] Kandasamy, W. V., & Smarandache, F. (2004). Basic neutrosophic algebraic structures and their application to fuzzy and neutrosophic models (Vol. 4). Infinite Study.
[9] Mohammed Abed, M., Hassan, N., & Al-Sharq, F. (2022). On Neutrosophic Multiplication Module.Neutrosophic Sets and Systems, 49(1), 12 [10] Abed, M., Al-Jumaili, A. F., Al-Sharqi, F. G. Some mathematical Structures in topological group. J. Algab. Appl. Math., 2018, 16(2), 99-117.
[11] F. Al-Sharqi, A. G. Ahmad, A. Al Quran, Mapping on interval complex neutrosophic soft sets, International Journal of Neutrosophic Science, vol.19(4), pp.77-85, 2022.
[12] A. Al Quran, A. G. Ahmad, F. Al-Sharqi, A. Lutfi, Q-Complex Neutrosophic Set, International Journal of Neutrosophic Science, vol. 20(2), pp.08-19, 2023.
[13] E. Hatir, and T. Noiri. Decompositions of continuity and complete continuity, Acta, Math. Hungar, 113 (4), 281-287, (2006)
[14] Jumaili, A. M. A., Abed, M. M., Al-sharqi, F. G. Other new types of Mappings with Strongly Closed Graphs in Topological spaces via e-θ and δ-β-θ-open sets. J. Phys. Conf. Ser., 2019, 1234, 012101.
[15] Al-Jumaili, A. F., Abed, M. M., & Al-sharqi, F. G. (2019). On fixed point theorems and ∇-distance in complete partially ordered G-cone metric spaces. Journal of Analysis and Applications, 17(1), 1-20.
[16] P. Ishwarya and K. Bageerathi, on Neutrosophic semi-open sets in neutrosophic topological spaces, International Jour. of Math. Trends and Tech, 37(3), 214-223, (2016).
[17] A. Al-Quran, F. Al-Sharqi, K. Ullah, M. U. Romdhini, M. Balti and M. Alomai, Bipolar fuzzy hypersoft set and its application in decision making, International Journal of Neutrosophic Science, vol. 20, no. 4, pp. 65-77, 2023.
[18] A. Vadivel, M. Seenivasan and C. John Sundar, An introduction to δ-open sets in a neutrosophic topological spaces, Journal of Physics: Conference Series, 1724 (2021), 012011.
[19] Al-Sharqi, F. G., Abed, M. M., Mhassin, A. A. On Polish Groups and their Applications. J. Eng. Appl. Sci., 2018, 13(18), 7533-7536. [20] Vadivel, A., & Sundar, J. (2021). New operators using neutrosophic δ-open set. Journal of Neutrosophic and Fuzzy Systems, 1(2), 61-70.
| Style | # |
|---|---|
| MLA | Alaa M. F. AL. Jumaili. "New certain classes of Generalized Neutrosophic Mappings and Their Applications." International Journal of Neutrosophic Science, Vol. 21, No. 4, 2023 ,PP. 21-29 (Doi : https://doi.org/10.54216/IJNS.210402) |
| APA | Alaa M. F. AL. Jumaili. (2023). New certain classes of Generalized Neutrosophic Mappings and Their Applications. Journal of International Journal of Neutrosophic Science, 21 ( 4 ), 21-29 (Doi : https://doi.org/10.54216/IJNS.210402) |
| Chicago | Alaa M. F. AL. Jumaili. "New certain classes of Generalized Neutrosophic Mappings and Their Applications." Journal of International Journal of Neutrosophic Science, 21 no. 4 (2023): 21-29 (Doi : https://doi.org/10.54216/IJNS.210402) |
| Harvard | Alaa M. F. AL. Jumaili. (2023). New certain classes of Generalized Neutrosophic Mappings and Their Applications. Journal of International Journal of Neutrosophic Science, 21 ( 4 ), 21-29 (Doi : https://doi.org/10.54216/IJNS.210402) |
| Vancouver | Alaa M. F. AL. Jumaili. New certain classes of Generalized Neutrosophic Mappings and Their Applications. Journal of International Journal of Neutrosophic Science, (2023); 21 ( 4 ): 21-29 (Doi : https://doi.org/10.54216/IJNS.210402) |
| IEEE | Alaa M. F. AL. Jumaili, New certain classes of Generalized Neutrosophic Mappings and Their Applications, Journal of International Journal of Neutrosophic Science, Vol. 21 , No. 4 , (2023) : 21-29 (Doi : https://doi.org/10.54216/IJNS.210402) |