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International Journal of Neutrosophic Science
Volume 0 - 2019 , Issue I - Vol 0, PP: 35-46 , 2019 | Cite this article as | XML | Html |PDF

Title

On Neutrosophic Crisp Relations

  A.A.Salama 1 * ,   Hewayda ElGhawalby 2 ,   A.M.Nasr 3

1  Port Said University, Faculty of Science, Department of Mathematics and Computer Science, Egypt
    (drsalama44@gmail.com)

2  Port Said University, Faculty of Engineering, Physics and Engineering Mathematics Department, Egypt
    (asomanasr06@gmail.com)

3  Port Said University, Faculty of Engineering, Physics and Engineering Mathematics Department, Egypt
    (bhewayda2011@eng.psu.edu.eg)

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Doi   :   https://doi.org/10.54216/IJNS.000104

Received: February 10, 2019 Revised: April 27, 2019 Accepted: June10, 2019

Abstract :

The aim of this paper is to introduce a new types  of neutrosophic crisp relations as a generalization to  intuitionistic relations due to Indira et al.[9], and study some of its properties. Finally, the concepts of the star and retract neutrosophic relations  are introduces and studied and some properties of these concepts will be investigated.

Keywords :

Crisp sets relations; Neutrosophic crisp set; Star neutrosophic crisp set; Neutrosophic crisp relation; Star neutrosophic crisp relation.

References :

[1]  Alblowi, S., Salama, A. A., and Eisa, M. New concepts of neutrosophic sets. International Journal of Mathematicsand Computer Applications Research (IJMCAR), vol. 4, no. 1, pp.59 – 66, 2014.

[2]  Atanassov,K. intuitionistic fuzzy sets, in V.Sgurev,ed., Vii ITKRS Session, Sofia (June 1983 central Sci.andTechn. Library, Bulg. Academy of Sciences, 1984.

[3]  Atanassov,K. intuitionistic fuzzy sets, Fuzzy Sets and Systems 20, pp.87-96, 1986.

[4]  Hanafy, I., Salama, A. A., Mahfouz, K. “Neutrosophic classical events and its probability”, International Journal of Mathematics and Computer Applications Research(IJMCAR) vol. 3, no. 3, pp.171- 178, 2013.

[5]  Salama, A. A., Alblowi, S. “Neutrosophic set and neutrosophic topological spaces”, ISOR J. Mathematics vol. 3, no. 3, pp.31 – 35, 2012.

[6]  Salama, A. A., and Alblowi, S. “Intuitionistic Fuzzy Ideals Topological Spaces”, Advances in Fuzzy Mathematics , Vol.7(1), pp 51- 60,  2012.

[7]  Salama, A. A., Khaled, O. M., and Mahfouz, K. “Neutrosophic correlation and simple linear regression”, NeutrosophicSets and Systems vol. 5,  pp.3 – 8, 2014.

[8]  Salama, A. A. “Neutrosophic crisp point & neutrosophic crisp ideals”,  Neutrosophic Sets and Systems vol. 1, no.1,  pp.50 – 54, 2013.

[9]  Indira, S.,  Raja, Rajeswari, R., “A Study on Star Intuitionistic Sets”, International Journal of Mathematics and Statistics Invention,  (2)4, pp51-63, 2014.

[10]                 Salama, A. A., and Alblowi, S. A.“Generalized Neutrosophic Set and Generalized Neutrosophic Spaces”, Journal Computer Sci. Engineering, Vol. (2) No. (7), pp. 129-132, 2012

[11]                 Salama, A. A., Alblowi, S. A., Smarandache, F.“Neutrosophic crisp open set and neutrosophic crisp continuity via neutrosophic crisp ideals”. I.J. Information Engineering and Electronic Business vol. 3, pp.1 – 8, 2014.

[12]                 Salama, A. A., Elghawalby, H. “*- Neutrosophic Crisp Set & Relations”, Neutrosophic Sets and Systems, Vol. 6, pp. 12-17, 2014.

[13]                 Salama, A. A., Alblowi, S. A., and Smarandache, F. “The characteristic function of a neutrosophic set”, Neutrosophic Sets and Systems vol. 3, pp.14 – 18, 2014.

[14]                 Salama, A. A., Smarandache, F. “Neutrosophic Crisp Set Theory”, Educational Publisher, Columbus, Ohio,USA., 2015.

[15]                 Salama, A. A., Smarandache, F, “Filters via Neutrosophic Crisp Sets”, Neutrosophic Sets and Systems, Vol. 1, No. 1, pp. 34-38, 2013,

[16]                 Salama, A. A., Smarandache, F., Valeri Kroumov “Neutrosophic crisp Sets & Neutrosophic crisp Topological Spaces”, Bulletin of the Research Institute of Technology, Okayama University of Science, Japan, in January-February 2014. 

[17]                 Salama, A. A., Mohamed Eisa , M. M. Abdelmoghny. “Neutrosophic Relations Database”, International Journal of Information Science and Intelligent System, 3(2), pp.33-46, 2014.

[18]                 Smarandache, F. “A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability”, American Research Press, Rehoboth, NM, 1999.

[19]                 Smarandache, F. “Neutrosophy and neutrosophic logic”, In First International Conference on Neutrosophy , Neutrosophic Logic, Set, Probability, and Statistics University of New Mexico, Gallup, NM 87301, USA 2002.

[20]                 Smarandache, F. “Neutrosophic set, a generialization of the intuitionistic fuzzy sets”, Inter. J. Pure Appl.Math. vol. 24 ,pp.287-297,  2005.

[21]                 Zadeh, L.A. “Fuzzy Sets”, Inform and Control 8, pp.338-353, 1965.

[22]                 Broumi S., Bakali A., Talea M,, and Smarandache F,”Isolated Single Valued Neutrosophic Graphs”, Neutrosophic Sets and Systems, Vol. 11, pp.74-78, 2016.

[23]                 Broumi S., Dey A., Bakali A., Talea M., Smarandache F., Son L. H., Koley D., “Uniform Single Valued Neutrosophic Graphs”, Neutrosophic Sets and Systems, Vol. 17, pp.42-49, 2017.

[24]                 Broumi S., Son L.H., Bakali A., Talea M., Smarandache F., Selvachandran G., “Computing Operational Matrices in Neutrosophic Environments: A Matlab Toolbox”,  Neutrosophic Sets and Systems, Vol. 18, pp.58-66, 2017.

 

 

Cite this Article as :
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MLA A.A.Salama, Hewayda ElGhawalby, A.M.Nasr. "On Neutrosophic Crisp Relations." International Journal of Neutrosophic Science, Vol. 0 - 2019, No. I - Vol 0, 2019 ,PP. 35-46 (Doi   :  https://doi.org/10.54216/IJNS.000104)
APA A.A.Salama, Hewayda ElGhawalby, A.M.Nasr. (2019). On Neutrosophic Crisp Relations. Journal of International Journal of Neutrosophic Science, 0 - 2019 ( I - Vol 0 ), 35-46 (Doi   :  https://doi.org/10.54216/IJNS.000104)
Chicago A.A.Salama, Hewayda ElGhawalby, A.M.Nasr. "On Neutrosophic Crisp Relations." Journal of International Journal of Neutrosophic Science, 0 - 2019 no. I - Vol 0 (2019): 35-46 (Doi   :  https://doi.org/10.54216/IJNS.000104)
Harvard A.A.Salama, Hewayda ElGhawalby, A.M.Nasr. (2019). On Neutrosophic Crisp Relations. Journal of International Journal of Neutrosophic Science, 0 - 2019 ( I - Vol 0 ), 35-46 (Doi   :  https://doi.org/10.54216/IJNS.000104)
Vancouver A.A.Salama, Hewayda ElGhawalby, A.M.Nasr. On Neutrosophic Crisp Relations. Journal of International Journal of Neutrosophic Science, (2019); 0 - 2019 ( I - Vol 0 ): 35-46 (Doi   :  https://doi.org/10.54216/IJNS.000104)
IEEE A.A.Salama, Hewayda ElGhawalby, A.M.Nasr, On Neutrosophic Crisp Relations, Journal of International Journal of Neutrosophic Science, Vol. 0 - 2019 , No. I - Vol 0 , (2019) : 35-46 (Doi   :  https://doi.org/10.54216/IJNS.000104)
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