Neutrosophic Bi-topological Group

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Neutrosophic Bi-topological Group

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Abstract

Neutrosophic topological groups are neutrosophic groups in algebraic sense together with neutrosophic continuous group operations. In this article, we presented neutrosophic bi-topological groups with illustrative examples. Also, We defined eight new patterns of neutrosophic bi-topological groups. Neutrosophic bi-topological group which depends on two neutrosophic topology is a more general than neutrosophic topological groups. Finally, Some basic properties of neutrosophic bi-topological groups are investigated.

Keywords

Neutrosophic topological groups neutrosophic bi-topological groups neutrosophic grups

References

[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).

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[5] A. A. Salma; S.A. Alblowi; "Neutrosophic set and neutrosophic topological spaces". IOSR J. Math., Vol. 3(4), 31–35. (2012).

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