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International Journal of Neutrosophic Science
Volume 7 , Issue 2, PP: 97-109 , 2020 | Cite this article as | XML | Html |PDF

Title

On Refined Neutrosophic Vector Spaces I

  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)


Doi   :   https://doi.org/10.54216/IJNS.070202


Abstract :

The objective of this paper is to present the concept of a refined neutrosophic vector space. Weak(strong) refined neutrosophic vector spaces and subspaces, and, strong refined neutrosophic quotient vector spaces are studied. Several interesting results and examples are presented. It is shown that every weak (strong) refined neutrosophic vector space is a vector space and it is equally shown that every strong refined neutrosophic vector space is a weak refined neutrosophic vector space.

Keywords :

Neutrosophy , neutrosophic vector space , neutrosophic vector subspace , refined neutrosophic vector space , refined neutrosophic vector subspace , refined neutrosophic quotient vector space.

References :

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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 Vector Spaces I." International Journal of Neutrosophic Science, Vol. 7, No. 2, 2020 ,PP. 97-109 (Doi   :  https://doi.org/10.54216/IJNS.070202)
APA M.A. Ibrahim, A.A.A. Agboola, B.S. Badmus, S.A. Akinleye. (2020). On Refined Neutrosophic Vector Spaces I. Journal of International Journal of Neutrosophic Science, 7 ( 2 ), 97-109 (Doi   :  https://doi.org/10.54216/IJNS.070202)
Chicago M.A. Ibrahim, A.A.A. Agboola, B.S. Badmus, S.A. Akinleye. "On Refined Neutrosophic Vector Spaces I." Journal of International Journal of Neutrosophic Science, 7 no. 2 (2020): 97-109 (Doi   :  https://doi.org/10.54216/IJNS.070202)
Harvard M.A. Ibrahim, A.A.A. Agboola, B.S. Badmus, S.A. Akinleye. (2020). On Refined Neutrosophic Vector Spaces I. Journal of International Journal of Neutrosophic Science, 7 ( 2 ), 97-109 (Doi   :  https://doi.org/10.54216/IJNS.070202)
Vancouver M.A. Ibrahim, A.A.A. Agboola, B.S. Badmus, S.A. Akinleye. On Refined Neutrosophic Vector Spaces I. Journal of International Journal of Neutrosophic Science, (2020); 7 ( 2 ): 97-109 (Doi   :  https://doi.org/10.54216/IJNS.070202)
IEEE M.A. Ibrahim, A.A.A. Agboola, B.S. Badmus, S.A. Akinleye, On Refined Neutrosophic Vector Spaces I, Journal of International Journal of Neutrosophic Science, Vol. 7 , No. 2 , (2020) : 97-109 (Doi   :  https://doi.org/10.54216/IJNS.070202)