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International Journal of Neutrosophic Science
Volume 9 , Issue 2, PP: 86-99 , 2020 | Cite this article as | XML | Html |PDF

Title

On Refined Neutrosophic Hypergroup

  M.A. Ibrahim 1 ,   A.A.A. Agboola 2 ,   B.S. Badmus 3 ,   S.A. Akinleye 4

1  Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria
    (muritalaibrahim40@gmail.com)

2  Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria
    (agboolaaaa@funaab.edu.ng)

3  Department of Physics, Federal University of Agriculture, Abeokuta, Nigeria.
    (badmusbs@yahoo.com)

4  Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria
    (sa akinleye@yahoo.com)

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Doi   :   https://doi.org/10.54216/IJNS.090203

Received: April 04, 2020 Accepted: July 08, 2020

Abstract :

This paper presents the refinement of neutrosophic hypergroup and studies some of its properties. Several interesting results and examples are presented. The existence of a good homomorphism between a refined neutrosophic hypergroup H(I1; I2) and a neutrosophic hypergroup H(I) is established. Keywords: Neutrosophy, neutrosophic hypegroup, neutrosophic subhypergroup, refined neutrosophic hypergroup, refined neutrosophic subhypergroup.

Keywords :

Neutrosophic Hypergroup , Fuzzy Logic

References :

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[2]  Adeleke, E.O, Agboola, A.A.A and Smarandache, F. Refined Neutrosophic Rings II, International Journal of Neutrosophic Science (IJNS), Vol. 2(2), pp. 89-94, 2020.

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[13]                 Marty, F. Role de la notion dhypergroupe dans letude des groupes non abeliens, Comptes Renclus Acad.Sci. Paris Math, Vol. 201, pp 636-638, 1935.

[14]                 Massouros, C., Some properties of certain Subhypergroups, RATIO MATHEMATICA Vol.25, pp.67-76,2013.

[15]                 Smarandache, F., A Unifying Field in Logics: Neutrosophic Logic, Neutrosophy, Neutrosophic Set,Neutrosophic Probability, American Research Press, Rehoboth, 2003.

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[18]                 Vasantha Kandasamy W.B and Smarandache, F., Basic Neutrosophic Algebraic Structuresand Their Applications to Fuzzy and Neutrosophic Models, Hexis, Church Rock,2004,http://fs.unm.edu/ScienceLibrary.htm

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Cite this Article as :
Style #
MLA M.A. Ibrahim, A.A.A. Agboola, B.S. Badmus, S.A. Akinleye. "On Refined Neutrosophic Hypergroup." International Journal of Neutrosophic Science, Vol. 9, No. 2, 2020 ,PP. 86-99 (Doi   :  https://doi.org/10.54216/IJNS.090203)
APA M.A. Ibrahim, A.A.A. Agboola, B.S. Badmus, S.A. Akinleye. (2020). On Refined Neutrosophic Hypergroup. Journal of International Journal of Neutrosophic Science, 9 ( 2 ), 86-99 (Doi   :  https://doi.org/10.54216/IJNS.090203)
Chicago M.A. Ibrahim, A.A.A. Agboola, B.S. Badmus, S.A. Akinleye. "On Refined Neutrosophic Hypergroup." Journal of International Journal of Neutrosophic Science, 9 no. 2 (2020): 86-99 (Doi   :  https://doi.org/10.54216/IJNS.090203)
Harvard M.A. Ibrahim, A.A.A. Agboola, B.S. Badmus, S.A. Akinleye. (2020). On Refined Neutrosophic Hypergroup. Journal of International Journal of Neutrosophic Science, 9 ( 2 ), 86-99 (Doi   :  https://doi.org/10.54216/IJNS.090203)
Vancouver M.A. Ibrahim, A.A.A. Agboola, B.S. Badmus, S.A. Akinleye. On Refined Neutrosophic Hypergroup. Journal of International Journal of Neutrosophic Science, (2020); 9 ( 2 ): 86-99 (Doi   :  https://doi.org/10.54216/IJNS.090203)
IEEE M.A. Ibrahim, A.A.A. Agboola, B.S. Badmus, S.A. Akinleye, On Refined Neutrosophic Hypergroup, Journal of International Journal of Neutrosophic Science, Vol. 9 , No. 2 , (2020) : 86-99 (Doi   :  https://doi.org/10.54216/IJNS.090203)
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