1
Department of Mathematics, College of Science, AlFurat University, Deir-ez-Zor, Syria
(riad-hamido1983@hotmail.com)
Abstract :
In this paper, the neutrosophic crisp minimal structure which is a more general structure than the neutrosophic minimal structure is built on neutrosophic crisp sets. The necessary arguments which are neutrosophic minimal crisp open set, neutrosophic minimal crisp closed set, neutrosophic crisp minimal closure, and neutrosophic crisp minimal interior are defined and their basic properties are presented. Also, the neutrosophic crisp minimal structure subspace of neutrosophic crisp minimal structure is defined and studied some of its properties. Finally, many examples are presented.
Keywords :
Neutrosophic crisp minimal structure, neutrosophic minimal structure, neutrosophic crisp minimal open set, neutrosophic crisp minimal closed set.
References :
[1] F. Smarandache. Neutrosophy / Neutrosophic probability, set, and logic, American Research Press, 1998. See also: http://gallup.unm.edu/~smarandache/NeutLog.txt.
[2] F. Smarandache, “Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability, and Statistics” University of New Mexico, Gallup, NM 87301, USA (2002).
[3] A Salama; F.Smarandache and Kroumov. “Neutrosophic crisp Sets and Neutrosophic crisp Topological Spaces” Neutrosophic Sets and Systems, Vlo.2, (2014), pp.25-30.
[4] Salama and S. A. Alblowi. Neutrosophic set and neutrosophic topological space. ISORJ, Mathematics, Vol. (3), Issue 4, ( 2012), 31-35.
[5] Mashhour, S.; Allam, A.A.; Mahmoud F.S.; and Khedr, F.H.; On Supra topological spaces”, Indian Jr.Pure and Appl.Math.No.4(14)(1983),502-510.
[6] G.Jayaparthasarathy; V.F.Little Flower; M.Arockia Dasan. “Neutrosophic Supra Topological Applications in Data Mining Process”, Neutrosophic Sets and Systems, ,(2019) ,vol. 27, pp. 80-97.
[7] B.AL-Nafee; R.K. Al-Hamido; F.Smarandache. “Separation Axioms In Neutrosophic Crisp Topological Spaces”,Journal of newtheory, (2018),vol. 22, pp.
[8] R. Gowri, A.K.R. Rajayal, “On Supra Bi-topological spaces”, IOSR Journal of Mathematics (IOSR-JM) .No.5(113)(2017),55-58.
[9] J. C. Kelly. “Bi-topological spaces”. Proceedings of the London Mathematical Society, 3(1) ,(1963), 71-89.
[10] R.K. Al-Hamido. “A study of multi-Topological Spaces”, PhD Theses ,AlBaath university , Syria(2019).
[11] T.Y. Ozturk , A. Ozkan “Neutrosophic Bi-topological Spaces”, Neutrosophic Sets and Systems, vol. 30,(2019) ,pp. 88-97.
[12] R.K. Al-Hamido. “Neutrosophic Crisp Bi-Topological Spaces”, Neutrosophic Sets and Systems, vol. 21, (2018), pp. 66-73.
[13] R.K. Al-Hamido. “Neutrosophic Crisp Supra Bi-Topological Spaces”, Neutrosophic Sets and Systems, Communicated, (2020).
[14] M. Parimala, M. Karthika ,F. Smarandache. “Introduction to neutrosophic minimal structure”, Neutrosophic Sets and Systems, vol. 36, (2020) , pp. 376-388.
| Style | # |
|---|---|
| MLA | Riad K. Al-Hamido. "Neutrosophic Crisp minimal Structure." Full Length Article, Vol. 3, No. 1, 2022 ,PP. 27-33 (Doi : https://doi.org/10.54216/JNFS.030103) |
| APA | Riad K. Al-Hamido. (2022). Neutrosophic Crisp minimal Structure. Journal of Full Length Article, 3 ( 1 ), 27-33 (Doi : https://doi.org/10.54216/JNFS.030103) |
| Chicago | Riad K. Al-Hamido. "Neutrosophic Crisp minimal Structure." Journal of Full Length Article, 3 no. 1 (2022): 27-33 (Doi : https://doi.org/10.54216/JNFS.030103) |
| Harvard | Riad K. Al-Hamido. (2022). Neutrosophic Crisp minimal Structure. Journal of Full Length Article, 3 ( 1 ), 27-33 (Doi : https://doi.org/10.54216/JNFS.030103) |
| Vancouver | Riad K. Al-Hamido. Neutrosophic Crisp minimal Structure. Journal of Full Length Article, (2022); 3 ( 1 ): 27-33 (Doi : https://doi.org/10.54216/JNFS.030103) |
| IEEE | Riad K. Al-Hamido, Neutrosophic Crisp minimal Structure, Journal of Full Length Article, Vol. 3 , No. 1 , (2022) : 27-33 (Doi : https://doi.org/10.54216/JNFS.030103) |