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Title

Properties of Group Neutro-Topological Space

  Bhimraj Basumatary 1 * ,   Binod Chandra Tripathy 2

1  Department of Mathematical Sciences, Bodoland University, 783370, Kokrajhar, India
    (brbasumatary14@gmail.com)

2  Department Of Mathematics, Tripura University, Agartala, 799022, Tripura, India
    (tripathybc@gmail.com)


Doi   :   https://doi.org/10.54216/JNFS.030104

Received: March 02, 2022 Accepted: May 27, 2022

Abstract :

Unlike traditional algebraic structures, where all operations are well-defined and all axioms are completely true, NeutroAlgebras and AntiAlgebras allow operations to be partially well-defined and axioms to be partially true or fully outer-defined, and axioms to be completely false. These NeutroAlgebras and AntiAlgebras represent a new research subject based on real-world examples. Since an empty set is not a subgroup of a group by observing this, the article leads to learning group neutro-topological space. We introduced the notion of a group neutro-topological space and investigated its properties.

Keywords :

Topological Space , Neutrosophic Set , NeutroAlgebras , Neutro-Topological Space , Group Neutro-Topological Space.

References :

[1]   Smarandache, F., Neutrosophy. Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning, Ann Arbor, Michigan, USA, 105, 1998.

[2]   Smarandache, F., Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures, in Advances of Standard and Nonstandard Neutrosophic Theories, Pons Publishing House Brussels, Belgium, Ch. 6, 240-265, 2019.

[3]   Smarandache, F., Introduction to NeutroAlgebraicstructures and AntiAlgebraicstructures (revisited), Neutrosophic Sets and Systems, 31, 1-16, 2020.

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[10] Şahin, M., Kargin, A. &Yücel, M., Neutro-Topological Space, and Anti-Topological Space, The Educational Publisher Inc., 1091 West 1st Ave., Grandview Heights, OH 43212, United States, 2021.

[11] Smarandache, F. (2020). Generalizations and Alternatives of Classical Algebraic Structures to NeutroAlgebraic Structures and AntiAlgebraic Structures, Journal of Fuzzy Extension and Applications (JFEA), J. Fuzzy. Ext. Appl., 1(2), 85–87.

[12] Agboola, A. A. A., Ibrahim, M. A. & Adeleke, E. O., Elementary examination of NeutroAlgebras and AntiAlgebras viz-a-viz the classical number systems. International Journal of Neutrosophic Science (IJNS), 4, 16-19, 2020.

[13] Agboola, A. A. A., Introduction to NeutroGroups. International Journal of Neutrosophic Science (IJNS), 6, 41-47, 2020.

[14] Agboola, A. A. A., Introduction to NeutroRings. International Journal of Neutrosophic Science (IJNS), 7, 62-73, 2020.

[15] Rezaei, A. &Smarandache, F., On Neutro-BE-algebras and Anti-BE-algebras. International Journal of Neutrosophic Science (IJNS), 4, 8-15, 2020.

[16] Hamidi, M. &Smarandache, F.,Neutro-BCK-Algebra. International Journal of Neutrosophic Science (IJNS), 8, 110-117, 2020.

[17] Smarandache, F., Rezaei, A. & Kim, H. S., A new trend to extensions of CI-algebras. International Journal of Neutrosophic Science (IJNS), 5(1), 8-15, 2020.

[18] Agboola, A. A. A., On finite NeutroGroups of type-NG. International Journal of Neutrosophic Science (IJNS), 10(2), 84-95, 2020.

 


Cite this Article as :
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MLA Bhimraj Basumatary, Binod Chandra Tripathy. "Properties of Group Neutro-Topological Space." Full Length Article, Vol. 3, No. 1, 2022 ,PP. 34-38 (Doi   :  https://doi.org/10.54216/JNFS.030104)
APA Bhimraj Basumatary, Binod Chandra Tripathy. (2022). Properties of Group Neutro-Topological Space. Journal of Full Length Article, 3 ( 1 ), 34-38 (Doi   :  https://doi.org/10.54216/JNFS.030104)
Chicago Bhimraj Basumatary, Binod Chandra Tripathy. "Properties of Group Neutro-Topological Space." Journal of Full Length Article, 3 no. 1 (2022): 34-38 (Doi   :  https://doi.org/10.54216/JNFS.030104)
Harvard Bhimraj Basumatary, Binod Chandra Tripathy. (2022). Properties of Group Neutro-Topological Space. Journal of Full Length Article, 3 ( 1 ), 34-38 (Doi   :  https://doi.org/10.54216/JNFS.030104)
Vancouver Bhimraj Basumatary, Binod Chandra Tripathy. Properties of Group Neutro-Topological Space. Journal of Full Length Article, (2022); 3 ( 1 ): 34-38 (Doi   :  https://doi.org/10.54216/JNFS.030104)
IEEE Bhimraj Basumatary, Binod Chandra Tripathy, Properties of Group Neutro-Topological Space, Journal of Full Length Article, Vol. 3 , No. 1 , (2022) : 34-38 (Doi   :  https://doi.org/10.54216/JNFS.030104)