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International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
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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 0 - 2019Issue I - Vol 0PP: 35-46 • 2019

On Neutrosophic Crisp Relations

A.A.Salama 1* ,
Hewayda ElGhawalby 2 ,
A.M.Nasr 2
1Port Said University, Faculty of Science, Department of Mathematics and Computer Science, Egypt
2Port Said University, Faculty of Engineering, Physics and Engineering Mathematics Department, Egypt
* Corresponding Author.
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

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[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.

 

 

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, A.A.Salama, ElGhawalby, Hewayda, , A.M.Nasr. "On Neutrosophic Crisp Relations." International Journal of Neutrosophic Science, vol. Volume 0 - 2019, no. Issue I - Vol 0, 2019, pp. 35-46. DOI: https://doi.org/10.54216/IJNS.000104
, A., ElGhawalby, H., , A. (2019). On Neutrosophic Crisp Relations. International Journal of Neutrosophic Science, Volume 0 - 2019(Issue I - Vol 0), 35-46. DOI: https://doi.org/10.54216/IJNS.000104
, A.A.Salama, ElGhawalby, Hewayda, , A.M.Nasr. "On Neutrosophic Crisp Relations." International Journal of Neutrosophic Science Volume 0 - 2019, no. Issue I - Vol 0 (2019): 35-46. DOI: https://doi.org/10.54216/IJNS.000104
, A., ElGhawalby, H., , A. (2019) 'On Neutrosophic Crisp Relations', International Journal of Neutrosophic Science, Volume 0 - 2019(Issue I - Vol 0), pp. 35-46. DOI: https://doi.org/10.54216/IJNS.000104
A, ElGhawalby H, A. On Neutrosophic Crisp Relations. International Journal of Neutrosophic Science. 2019;Volume 0 - 2019(Issue I - Vol 0):35-46. DOI: https://doi.org/10.54216/IJNS.000104
A. , H. ElGhawalby, A. , "On Neutrosophic Crisp Relations," International Journal of Neutrosophic Science, vol. Volume 0 - 2019, no. Issue I - Vol 0, pp. 35-46, 2019. DOI: https://doi.org/10.54216/IJNS.000104
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