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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 54 | Number 5 | Year 2018 | Article Id. IJMTT-V54P545 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P545

An Intuitionistic Uniform Grill Structure Space


Dr.P.Saranya, Dr.M.K.Uma
Abstract

The purpose of this paper is to introduce the concepts of an intuitionistic uniform B-closed spaces in terms of intuitionistic uniform grills. The concepts of intuitionistic uniform grill, intuitionistic uniform B - converge, intuitionistic uniform B -adhere and intuitionistic uniform section grill are introduced and studied. The concepts of intuitionistic uniform B-closed relative, intuitionis-tic uniform B -linked, intuitionistic uniform B -conjoint, intuitionistic uniform B-regular open symmetric member and intuitionistic uniform B -space are intro-duced. Besides providing some interesting properties and characterizations are introduced and discussed.

Keywords
Intuitionistic symmetric member, intuitionistic t-open symmetric member, intuitionistic B-open symmetric member, intuitionistic uniform B -converge, in-tuitionistic B -adherence, intuitionistic uniform grill, intuitionistic uniform lter, intuitionistic uniform section grill, intuitionistic uniform B-closed space, intuitionistic uniform B -linked, intuitionistic uniform B -conjoint, intuitionistic uniform B-regular open symmetric member, intuitionistic uniform B-almost reg-ular, intuitionistic uniform B-regular space and intuitionistic uniform B -space.
References

[1] N. Bourbaki, Elements of mathematics, General topology, Springer, Berlin, (1989).
[2] D. Coker, A note on intuitionistic sets and intuitionistic points, Turkish J. Math., 20, (1996), 343-351.
[3] D. Coker, An introduction to intuitionistic topological spaces, BUSEFAL, 81, (2000), 51-56.
[4] G. Choquet: Sur les notions de _ltre et grille, C. R. Math., Acad. Sci. Paris,224(1947), 171-173.
[5] J. Tong, On decomposition of continuity in topological spaces, Acta Math., Hungar. 54, (1989), 51-55.
[6] A. Weil, Sur les espaces _a structure uniforme et sur la topologie g_en_erale, Act. Scient. et Ind., Vol. 551, Hermann, Paris, (1937).

Citation :

Dr.P.Saranya, Dr.M.K.Uma, "An Intuitionistic Uniform Grill Structure Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 5, pp. 383-387, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P545

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