1
Dept. of Math and Computer Sci., Faculty of Science, Port Said Univ., Egypt
(drsalama44@gmail.com)
2
Department of Mathematical Statistics, Faculty of Science, Albaath University, Homs, Syria
(rafif.alhabib85@gmail.com)
Abstract :
This paper aims to introduce and study some new neutrosophic fuzzy pairwise notions via neutrosophic fuzzy ideals. We, also generalize the notion of FPL-open sets. In addition to generalizing the concept of FPL-closed sets and NPL-open function, the relationship between the above new neutrosophic Fuzzy pairwise notions and there other relevant classes are investigated. In Geographical information systems (GIS) there is a need to statistically model spatial regions with indeterminate boundary and under indeterminacy. Possible applications to GIS rules are touched upon.
Keywords :
Neutrosophic set; Neutrosophic topology; Neutrosophic ideal open set; Neutrosophic closed set; GIS Neutrosophic Rules; Neutrosophic Statistical Model
References :
[1] M. E. Abd El-Monsef, A..Kozae , A. A. Salama, H. M. Elagmy, “Fuzzy Pairwise PL-open Sets and Fuzzy Pairwise PL-contiunous Function”, International Journal of Theoretical and Mathematical Physics, 3(2), 69-72, 2013.
[2] M. E. Abd El-Monsef, A..Kozae, A. A. Salama, H.M.Elagmy, “Fuzzy bitopological ideals spaces, Journal of Computer Engineering”, 6(4), pp.01-05, 2012.
[3] Florentin 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
[4] F. Smarandache,“A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability”, American Research Press, Rehoboth, NM, 1999.
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[7] Anjan Mukherjee, Mithun Datta, Florentin Smarandache”Interval Valued Neutrosophic Soft Topological Spaces”, Neutrosophic Sets and Systems, Vol. 6, pp.18-27, 2014.
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[10] A.A. Salama, Florentin Smarandache, S. A. Alblowi, “New Neutrosophic Crisp Topological Concepts”, Neutrosophic Sets and Systems, Vol. 4, pp. 50-54, 2014.
[11] A. A. Salama, F.Smarandache, “Neutrosophic Crisp Set Theory”, Educational. Education Publishing 1313 Chesapeake, Avenue, Columbus, Ohio 43212, 2015.
[12] A. A. Salama, Florentin Smarandache, “Neutrosophic Ideal Theory, Neutrosophic Local Function, and Generated Neutrosophic Topology”, Neutrosophic Theory and Its Applications, Vol. I, pp 213-218, 2014.
[13] A. A. Salama, “Neutrosophic Crisp Points & Neutrosophic Crisp Ideals”, Neutrosophic Sets and Systems, Vol. 1, 50-53, 2013.
[14] Rafif Alhabib, A. A. Salama,“Using Moving Averages To Pave The Neutrosophic Time Series”, International Journal of Neutrosophic Science ,Vol.3, pp.14-20, 2020
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Style | # |
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MLA | A. A. Salama, Rafif Alhabib. "Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules." International Journal of Neutrosophic Science, Vol. 8, No. 1, 2020 ,PP. 44-49 (Doi : https://doi.org/10.54216/IJNS.080104) |
APA | A. A. Salama, Rafif Alhabib. (2020). Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules. Journal of International Journal of Neutrosophic Science, 8 ( 1 ), 44-49 (Doi : https://doi.org/10.54216/IJNS.080104) |
Chicago | A. A. Salama, Rafif Alhabib. "Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules." Journal of International Journal of Neutrosophic Science, 8 no. 1 (2020): 44-49 (Doi : https://doi.org/10.54216/IJNS.080104) |
Harvard | A. A. Salama, Rafif Alhabib. (2020). Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules. Journal of International Journal of Neutrosophic Science, 8 ( 1 ), 44-49 (Doi : https://doi.org/10.54216/IJNS.080104) |
Vancouver | A. A. Salama, Rafif Alhabib. Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules. Journal of International Journal of Neutrosophic Science, (2020); 8 ( 1 ): 44-49 (Doi : https://doi.org/10.54216/IJNS.080104) |
IEEE | A. A. Salama, Rafif Alhabib, Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules, Journal of International Journal of Neutrosophic Science, Vol. 8 , No. 1 , (2020) : 44-49 (Doi : https://doi.org/10.54216/IJNS.080104) |