International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 8 , Issue 1 , PP: 44-49, 2020 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules

A. A. Salama 1 * , Rafif Alhabib 2

  • 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)
  • Doi: https://doi.org/10.54216/IJNS.080104

    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. 

     

     

    Cite This Article As :
    A., A.. , Alhabib, Rafif. Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules. International Journal of Neutrosophic Science, vol. , no. , 2020, pp. 44-49. DOI: https://doi.org/10.54216/IJNS.080104
    A., A. Alhabib, R. (2020). Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules. International Journal of Neutrosophic Science, (), 44-49. DOI: https://doi.org/10.54216/IJNS.080104
    A., A.. Alhabib, Rafif. Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules. International Journal of Neutrosophic Science , no. (2020): 44-49. DOI: https://doi.org/10.54216/IJNS.080104
    A., A. , Alhabib, R. (2020) . Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules. International Journal of Neutrosophic Science , () , 44-49 . DOI: https://doi.org/10.54216/IJNS.080104
    A. A. , Alhabib R. [2020]. Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules. International Journal of Neutrosophic Science. (): 44-49. DOI: https://doi.org/10.54216/IJNS.080104
    A., A. Alhabib, R. "Neutrosophic Ideal layers & Some Generalizations for GIS Topological Rules," International Journal of Neutrosophic Science, vol. , no. , pp. 44-49, 2020. DOI: https://doi.org/10.54216/IJNS.080104