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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 4Issue 1PP: 20-35 • 2020

On Neutrosophic Quadruple Hypervector Spaces

M.A. Ibrahim, A.A.A. Agboola , E.O. Adeleke, S.A. Akinleye 1*
1Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria
* Corresponding Author.
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© 2020 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Abstract

The objective of this paper is to study Neutrosophic Quadruple Hypervector Spaces and present some of their basic definitions and properties. This paper generalizes the concept of Neutrosophic Hypervector spaces by presenting their Neutrosophic Quadruple forms. Some notions such as Neutrosphic hypersubspaces, linear combination, linearly dependence and linearly independence are generalized. Some interesting results and examples to illustrate the new concepts introduced are presented.

Keywords

Neutrosophic Quadruple (NQ) Neutrosophic Quadruple set NQ Hypervector spaces Super strong NQ Hypervector spaces strong NQ Hypervector spaces Weak NQ Hypervector spaces NQ field Neutrosophic field NQ Hypersubspaces NQ bases.

References

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[2]     Agboola, A.A.A. and Akinleye, S.A., Neutrosophic Vector Spaces, Neutrosophic Set and Systems, vol. 4, pp. 9-18, 2012.

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format_quote
Akinleye, M.A. Ibrahim, A.A.A. Agboola , E.O. Adeleke, S.A.. "On Neutrosophic Quadruple Hypervector Spaces." International Journal of Neutrosophic Science, vol. Volume 4, no. Issue 1, 2020, pp. 20-35. DOI: https://doi.org/10.54216/IJNS.040103
Akinleye, M. (2020). On Neutrosophic Quadruple Hypervector Spaces. International Journal of Neutrosophic Science, Volume 4(Issue 1), 20-35. DOI: https://doi.org/10.54216/IJNS.040103
Akinleye, M.A. Ibrahim, A.A.A. Agboola , E.O. Adeleke, S.A.. "On Neutrosophic Quadruple Hypervector Spaces." International Journal of Neutrosophic Science Volume 4, no. Issue 1 (2020): 20-35. DOI: https://doi.org/10.54216/IJNS.040103
Akinleye, M. (2020) 'On Neutrosophic Quadruple Hypervector Spaces', International Journal of Neutrosophic Science, Volume 4(Issue 1), pp. 20-35. DOI: https://doi.org/10.54216/IJNS.040103
Akinleye M. On Neutrosophic Quadruple Hypervector Spaces. International Journal of Neutrosophic Science. 2020;Volume 4(Issue 1):20-35. DOI: https://doi.org/10.54216/IJNS.040103
M. Akinleye, "On Neutrosophic Quadruple Hypervector Spaces," International Journal of Neutrosophic Science, vol. Volume 4, no. Issue 1, pp. 20-35, 2020. DOI: https://doi.org/10.54216/IJNS.040103
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