Volume 25 • Issue 2 • PP: 263-267 • 2025
Kernel Neutrosophic Crisp Sets
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Our study focusses on the concept of the kernel with in neutrosophic crisp sets (NCS_s) and its relationship with the separation axioms of NCTS, coinciding, and shedding light on the properties that characterize them.
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References
[1] Colasante, M. L., Uzcátegui, C., & Vielma, J. (2009). Boolean algebras and low separation axioms. In Topology Proceedings (Vol. 34, pp. 1-15)
[2] Davis, A. S. (1961). Indexed systems of neighborhoods for general topological spaces. The American mathematical monthly, 68(9), 886-894.
[3] Kim, Y. K., Devi, R., & Selvakumar, A. (2011). Weakly Ultra Separation Axioms Via sets Open-αψ. International Journal of Pure and Applied Mathematics, 71(3), 435-440.
[4] Salama, A. A., Smarandache, F., & Kroumov, V. (2014). Neutrosophic crisp sets & neutrosophic crisp topological spaces. Infinite Study.
[5] Salama, A. A., Smarandache, F., & Alblowi, S. A. (2014). New neutrosophic crisp topological concepts.
[6] Smarandache, F. (1999). A unifying field in Logics: Neutrosophic Logic. In Philosophy (pp. 1-141). American Research Press.
[7] Smarandache, F. (2002). Neutrosophy and neutrosophic logic, first international conference on neutrosophy, neutrosophic logic, set, probability, and statistics. University of New Mexico, Gallup, NM, 87301.
[8] Hadi, M. H., & Al-Swidi, L. A. A. (2022). The Neutrosophic Axial Set theory. Neutrosophic Sets and Systems, vol. 51/2022: An International Journal in Information Science and Engineering, 295.
[9] AL-Nafee, A. B., Broumi, S., & Al-Swidi, L. A. (2021). n-Valued refined neutrosophic crisp sets. International Journal of Neutrosophic Science (IJNS), 17(2), 87-95.
[10] Tomma, D. N., & Al-Swidi, L. A. A. (2024). Stable Neutrosophic Crisp Topological Space. International Journal of Neutrosophic Science, 23(4), 154-159.
[11] Tomma, D. N., & Al-Swidi, L. A. A. (2024). Necessary and Sufficient Conditions for a Stability of the Concepts of Stable Interior and Stable Exterior via Neutrosophic Crisp Sets. Journal of International Journal of Neutrosophic Science, 24(01), 87-93.
[12] Al-Swidi, L., & AL-Ethary, M. A. (2014). Compactness with" Gem-Set. Int. Journal of Math. Analysis, 8(23), 1105-1117.
[13] Al-Swidi, L. A., & Mustafa, H. H. (2011). Characterizations of continuity and compactness with respect to weak forms of ω-Open sets. European journal of scientific research, 57(4), 577-582.
[14] A. H. M. Al-Obaidi and Q. H. Imran, On new types of weakly neutrosophic crisp open mappings. Iraqi Journal of Science, 62(8) (2021), 2660-2666.
[15] A. H. M. Al-Obaidi, Q. H. Imran and M. M. Abdulkadhim, On new types of weakly neutrosophic crisp closed functions. Neutrosophic Sets and Systems, 50(2022), 239-247.
[16] Q. H. Imran, R. K. Al-Hamido and A. H. M. Al-Obaidi, On new types of weakly neutrosophic crisp continuity. Neutrosophic Sets and Systems, 38(2020), 179-187.
[17] Q. H. Imran, K. S. Tanak and A. H. M. Al-Obaidi, On new concepts of neutrosophic crisp open sets. Journal of Interdisciplinary Mathematics, 25(2)(2022), 563-572.
[18] Q. H. Imran, A. H. M. Al-Obaidi, F. Smarandache and Md. Hanif PAGE, On some new concepts of weakly neutrosophic crisp separation axioms. Neutrosophic Sets and Systems, 51(2022), 330-343.
[19] Q. H. Imran, M. M. Abdulkadhim, A. H. M. Al-Obaidi and Said Broumi, Neutrosophic crisp generalized sg-closed sets and their continuity. International Journal of Neutrosophic Science, 20(4) (2023), 106-118.
[20] M. M. Abdulkadhim, Q. H. Imran, A. H. M. Al-Obaidi and Said Broumi, On neutrosophic crisp generalized alpha generalized closed sets. International Journal of Neutrosophic Science, 19(1) (2022), 107-115.
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