1
Department Of Mathematics, College of Education for women, Tikrit University, Iraq
(elaf.ali23@st.tu.edu.iq)
2
Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq.
(pure.leal.abd@uobabylon.edu.iq)
Abstract :
Among the important and ancient mathematical concepts are the concepts of grill, the local function, and the knowledge of using grill in conjunction with topological spaces, which have gained wide scope in the natural sciences and elsewhere. The main idea here is to development these concepts in conjunction with neutrosophic crisp sets, and on the other hand to highlight their important and influential properties and the relationships that link them to each other.
Keywords :
neutrosophic crisp grill; neutrosophic crisp local function; Ψ_(ʆ_NC )-operator , Φ_(ʆ_NC )-operator , neutrosophic crisp grill topological space (NCGTS) .
References :
[1] F. Smarandache (1999), A Unifying Field in Logics: Neutrosophic Logic , Neutrosophy , Neutrosophic set, Neutrosophic Probability . American Research Press. Rehoboth NM.
[2] Smarandache, F. (1998), Neutrosophy, Neutrosophic Probability set and Logic , Amer. Res. Press. Rehoboth, USA , 105.
[3] Florentin Smarandache(2002), Neutrosophy and Neutrosophic Logic , First International Conference on Neutrosophy , Neutrosophic Logic , sets , Probability , and Statistics , University of New Mexico , Gallup, NM, 87301 , USA.
[4] L.A. Zadeh ( 1965) , Fuzzy Sets, Inform. And Control , 8, pp. 338-353 .
[5] A.G.Rose Venish, L. Vidyarani, M.Vigneshwaran, On Binary Neutrosophic Crisp Points And Binary Neutrosophic Neighborhoods, Journal of Journal of Neutrosophic and Fuzzy Systems, Vol. 5 , No. 1 , (2023) : 15-22 (Doi : https://doi.org/10.54216/JNFS.050102)
[6] A.A. Salama( 2012 ), Neutrosophic Crisp Point and Neutrosophic Crisp Ideal , Neutrosophic Sets and Systems , 1(1),pp. 50-54 .
[7] G. Chopuet(1947) ,Sur les notions do filter et grill , Comptes Rendus Acad. Sci. Paris (224) ,171-173 .
[8]Al-Nafee , A.B. ,Broumi, S. , Al-Swidi , L.A.(2021) , n-Valued Refined Neutrosophic Crisp Sets , Interational Journal of Neutrosophic Science , 17(2), pp. 87-95 .
[9]Almohammmed , R. , AL-Swidi , L.A. , (2020), New Concept of fuzzy local function , Baghdad Science Journal , 17(2),pp.515-522 .
[10]Abdulsada , D.A. , Al-Swidi , L.A. (2020) , Separation axioms of center topological space , Journal of Advanceed Research in Dynamical and control Systems , 12(5), pp.186-192 .
[11]Al-Swidi, L.A. ,Al-Ethary, M.A. (2014), Compactness with Gem-Set , International Journal of Mathematical Analysis , 8(21-24), pp.1105-1117 .
[12] 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.
[13] 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.
[14] 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.
[15] 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.
[16] 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.
| Style | # |
|---|---|
| MLA | Elaf Ali Sfook, L. A. A. AL-Swidi. "On Neutrosophic Crisp Grill Topological Spaces." International Journal of Neutrosophic Science, Vol. 24, No. 1, 2024 ,PP. 296-300 (Doi : https://doi.org/10.54216/IJNS.240126) |
| APA | Elaf Ali Sfook, L. A. A. AL-Swidi. (2024). On Neutrosophic Crisp Grill Topological Spaces. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 296-300 (Doi : https://doi.org/10.54216/IJNS.240126) |
| Chicago | Elaf Ali Sfook, L. A. A. AL-Swidi. "On Neutrosophic Crisp Grill Topological Spaces." Journal of International Journal of Neutrosophic Science, 24 no. 1 (2024): 296-300 (Doi : https://doi.org/10.54216/IJNS.240126) |
| Harvard | Elaf Ali Sfook, L. A. A. AL-Swidi. (2024). On Neutrosophic Crisp Grill Topological Spaces. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 296-300 (Doi : https://doi.org/10.54216/IJNS.240126) |
| Vancouver | Elaf Ali Sfook, L. A. A. AL-Swidi. On Neutrosophic Crisp Grill Topological Spaces. Journal of International Journal of Neutrosophic Science, (2024); 24 ( 1 ): 296-300 (Doi : https://doi.org/10.54216/IJNS.240126) |
| IEEE | Elaf Ali Sfook, L. A. A. AL-Swidi, On Neutrosophic Crisp Grill Topological Spaces, Journal of International Journal of Neutrosophic Science, Vol. 24 , No. 1 , (2024) : 296-300 (Doi : https://doi.org/10.54216/IJNS.240126) |