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Full Length Article
Volume 8 , Issue 1, PP: 44-49 , 2020


Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules

Authors Names :   A. A. Salama   1 *     Rafif Alhabib   2  

1  Affiliation :  Dept. of Math and Computer Sci., Faculty of Science, Port Said Univ., Egypt

    Email :  drsalama44@gmail.com

2  Affiliation :  Department of Mathematical Statistics, Faculty of Science, Albaath University, Homs, Syria

    Email :  rafif.alhabib85@gmail.com

Doi   :  10.5281/zenodo.3900338

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 :

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[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.