Volume 17 , Issue 1 , PP: 61-67, 2021 | Cite this article as | XML | Html | PDF | Full Length Article
Riad K. Al-Hamido 1 *
Doi: https://doi.org/10.54216/IJNS.170104
Neutrosophic topological groups are neutrosophic groups in an algebraic sense together with neutrosophic continuous group operations. In this article, we have presented neutrosophic bi-topological groups with illustrative examples. We have also defined eight new models of neutrosophic bi-topological groups. Neutrosophic bi-topological group that depends on two neutrosophic topologies group is more general than the neutrosophic topological group. Finally, Some basic properties of neutrosophic bi-topological groups were studied.
Neutrosophic topological groups, neutrosophic bi-topological groups, neutrosophic grups
[1] F. Smarandache; "A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability". American Research Press, Rehoboth, NM, 1999.
[2] F. Smarandache; "Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability, and Statistics" University of New Mexico, Gallup, NM 87301, USA 2002.
[3] L. A. Zadeh; "Fuzzy Sets". Inform. Control,Vol. 8, 338-353, 1965.
[4] K. Atanassov; "intuitionistic fuzzy sets". fuzzy sets and systems, Vol. 20, 87-96, 1986.
[5] A. A. Salma; S.A. Alblowi; "Neutrosophic set and neutrosophic topological spaces". IOSR J. Math., Vol. 3(4), 31–35, 2012
[6] A. A. A. Agboola; A.D. Akinola and O.Y. Oyebola; "Neutrosophic Rings I", Int. J. of Math. Comb., vol. 4, 1-14, 2011.
[7] A. A. A. Agboola; Akwu A.O. and Y.T. Oyebo; "Neutrosophic Groups and Neutrosopic Subgroups", Int. J.of Math. Comb., vol. 3, 1-9, 2012.
[8] A. A. A. Agboola; "On Refined Neutrosophic Algebraic Structures", Neutrosophic Sets and Systems, vol.10, 99-101, 2015.
[9] E. O. Adeleke; A.A.A. Agboola and F. Smarandache; "Refined Neutrosophic Rings I", International Journal
of Neutrosophic Science (IJNS), vol. 2(2), pp. 77-81, 2020. (DOI:10.5281/zenodo.3728222)
[10] E.O. Adeleke; A.A.A. Agboola and F. Smarandache; "Refined Neutrosophic Rings II", International Journal of Neutrosophic Science (IJNS), vol. 2(2), pp. 89-94, (2020). (DOI:10.5281/zenodo.3728235.
[11] Q. H. Imran; A. H. Al-Obaidi; F. Smarandache; "On Some Types of Neutrosophic Topological Groups
with Respect to Neutrosophic Alpha Open Sets". Neutrosophic Sets Syst, Vol. 33, 426–433, 2020.
[12] R. Sumathi; I. Arockiarani; "Topological Group Structure of Neutrosophic set". Journal of Advanced Studies in Topology, Vol. 7, 12-20, 2016.
[13] W. B. Vasantha Kandasamy; and F. Smarandache; "Neutrosophic Rings", Neutrosophic Sets and Systems, 2006.
[14] A. A. Salama, F. Smarandache and V. Kroumov, Neutrosophic Closed Set and Neutrosophic Continuous Functions. Neutrosophic Sets and Systems, 4(2014), 2-8.
[15] I. Arokiarani, R. Dhavaseelan, S. Jafari and M. Parimala, On Some New Notions and Functions in Neutrosophic Topological Spaces, Neutrosophic Sets and Systems, Vol.16, 2017, pp.16-19.
