ASPG Menu
search

American Scientific Publishing Group

verified Journal

Journal of Neutrosophic and Fuzzy Systems

ISSN
Online: 2771-6449 Print: 2771-6430
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

Journal of Neutrosophic and Fuzzy Systems
Full Length Article

Volume 3Issue 1PP: 34-38 • 2022

Properties of Group Neutro-Topological Space

Bhimraj Basumatary 1* ,
Binod Chandra Tripathy 2
1Department of Mathematical Sciences, Bodoland University, 783370, Kokrajhar, India
2Department Of Mathematics, Tripura University, Agartala, 799022, Tripura, India
* Corresponding Author.
verified

Open Access & Copyright

© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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.

[4]   Sumathi, I. R. &Arockiarani, I., Topological group structure of the neutrosophic set. Journal of Advanced Studies in Topology, 7(1), 12-20, 2016.

[5]   Salama, A. A. &Alblowi, S. A., Neutrosophicset and neutrosophic topological spaces. IOSR, Journal of Mathematics, 3(4), 31-35, 2012.

[6]   Narmada Devi, R., Dhavaseelan, R. & Jafari, S., On separation axioms in an ordered neutrosophic topological space. Neutrosophic Sets and Systems, 18, 27-36, 2017.

[7]   Sumathi, I. R. &Arockiarani, I., Fuzzy neutrosophic groups. Advanced in Fuzzy Mathematics, 10(2), 117-122, 2015.

[8]   Mwchahary, D. D. &Basumatary, B., A note on neutrosophic topological space, Neutrosophic Sets and Systems, 33, 134-144, 2020.

[9]   Smarandache, F., NeutroAlgebrais a generalization of partial algebra. International Journal of Neutrosophic Science (IJNS), 2, 8-17, 2020.

[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

Choose your preferred format

format_quote
Basumatary, Bhimraj, Tripathy, Binod Chandra. "Properties of Group Neutro-Topological Space." Journal of Neutrosophic and Fuzzy Systems, vol. Volume 3, no. Issue 1, 2022, pp. 34-38. DOI: https://doi.org/10.54216/JNFS.030104
Basumatary, B., Tripathy, B. (2022). Properties of Group Neutro-Topological Space. Journal of Neutrosophic and Fuzzy Systems, Volume 3(Issue 1), 34-38. DOI: https://doi.org/10.54216/JNFS.030104
Basumatary, Bhimraj, Tripathy, Binod Chandra. "Properties of Group Neutro-Topological Space." Journal of Neutrosophic and Fuzzy Systems Volume 3, no. Issue 1 (2022): 34-38. DOI: https://doi.org/10.54216/JNFS.030104
Basumatary, B., Tripathy, B. (2022) 'Properties of Group Neutro-Topological Space', Journal of Neutrosophic and Fuzzy Systems, Volume 3(Issue 1), pp. 34-38. DOI: https://doi.org/10.54216/JNFS.030104
Basumatary B, Tripathy B. Properties of Group Neutro-Topological Space. Journal of Neutrosophic and Fuzzy Systems. 2022;Volume 3(Issue 1):34-38. DOI: https://doi.org/10.54216/JNFS.030104
B. Basumatary, B. Tripathy, "Properties of Group Neutro-Topological Space," Journal of Neutrosophic and Fuzzy Systems, vol. Volume 3, no. Issue 1, pp. 34-38, 2022. DOI: https://doi.org/10.54216/JNFS.030104
policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready