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International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 8Issue 1PP: 44-49 • 2020

Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules

A. A. Salama 1* ,
Rafif Alhabib 2
1Dept. of Math and Computer Sci., Faculty of Science, Port Said Univ., Egypt
2Department of Mathematical Statistics, Faculty of Science, Albaath University, Homs, Syria
* Corresponding Author.

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.

[5]  A.A. Salama , S.A. Alblowi, “Neutrosophic Set and Neutrosophic Topological Space”, ISOR J. mathematics (IOSR-JM), 3 (4), 31-35, 2012.

[6] A. A Salama, Florentin Smarandache, Valeri Kroumov, “ Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces”,  Neutrosophic Sets and Systems, Vol. 2, pp. 25-30, 2014.

[7] Anjan Mukherjee, Mithun Datta, Florentin Smarandache”Interval Valued Neutrosophic Soft Topological Spaces”,  Neutrosophic Sets and Systems, Vol. 6, pp.18-27, 2014.

[8] A. A. Salama, I. M. Hanafy, Hewayda Elghawalby, M. S. Dabash, “Neutrosophic Crisp α-Topological Spaces”, Neutrosophic Sets and Systems,Vol. 12, 2016, pp. 92-96, 2016.

 [9] A.A. Salama,” Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible Application to GIS Topology”,  Neutrosophic Sets and Systems, Vol. 7, pp. 18-22., 2015

[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

[15] R. Alhabib, M. Ranna, H. Farah, A. A. Salama, “Neutrosophic decision-making & neutrosophic decision tree” Albaath- University Journal, Vol (40), 2018. 

 

 

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Salama, A. A., Alhabib, Rafif. "Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules." International Journal of Neutrosophic Science, vol. Volume 8, no. Issue 1, 2020, pp. 44-49. DOI: https://doi.org/10.54216/IJNS.080104
Salama, A., Alhabib, R. (2020). Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules. International Journal of Neutrosophic Science, Volume 8(Issue 1), 44-49. DOI: https://doi.org/10.54216/IJNS.080104
Salama, A. A., Alhabib, Rafif. "Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules." International Journal of Neutrosophic Science Volume 8, no. Issue 1 (2020): 44-49. DOI: https://doi.org/10.54216/IJNS.080104
Salama, A., Alhabib, R. (2020) 'Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules', International Journal of Neutrosophic Science, Volume 8(Issue 1), pp. 44-49. DOI: https://doi.org/10.54216/IJNS.080104
Salama A, Alhabib R. Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules. International Journal of Neutrosophic Science. 2020;Volume 8(Issue 1):44-49. DOI: https://doi.org/10.54216/IJNS.080104
A. Salama, R. Alhabib, "Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules," International Journal of Neutrosophic Science, vol. Volume 8, no. Issue 1, pp. 44-49, 2020. DOI: https://doi.org/10.54216/IJNS.080104
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