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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 5 | Year 2013 | Article Id. IJMTT-V4I5P1 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I5P1

On α^(**) g-Closed sets, α^(**) g- Continuity and α^(**) g- Homeomorphisms in Intuitionistic Fuzzy Topological Space


M. Thirumalaiswamy, S. Birundha
Abstract

In this paper, we introduce and study the notions of intuitionistic fuzzy હ ∗∗܏-closed sets, intuitionistic fuzzy હ ∗∗܏- continuity, intuitionistic fuzzy હ ∗∗܏-open mapping, intuitionistic fuzzy હ ∗∗܏-closed mapping, intuitionistic fuzzy હ ∗∗܏- homeomorphisms and some of its properties in intuitionistic fuzzy topological spaces.

Keywords
Intuitionistic fuzzy હ ∗∗܏-closed sets, intuitionistic fuzzy હ ∗∗܏-continuity, intuitionistic fuzzy હ ∗∗܏-open mapping, intuitionistic fuzzy હ ∗∗܏-closed mapping and intuitionistic fuzzy હ ∗∗܏-homeomorphisms.
References

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[3] D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy sets and systems, 88 (1997), 81-89.
[4] H. Gurcay, D. Coker and Es. A. Hayder, On fuzzy continuity in intuitionistic fuzzy topological spaces, The Journal of Fuzzy Mathematics, 5 (1997), 365-378.
[5] Joung Kon Jeon, Young Bae Jun and Jin Han Park, Intuitionistic fuzzy alpha continuity and intuitionistic fuzzy pre continuity, International Journal of Mathematics and Mathematical Sciences, 19 (2005), 3091-3101.
[6] Jyoti Pandey Bajpai and S. S. Thakur, Intuitionistic Fuzzy rgߙ continuity, Int. J. Contemp. Math. Sciences, 6 (2011), 2335-2351.
[7] D. Kalamani, K. Sakthivel and C. S. Gowri, Generalized alpha closed sets in intuitionistic fuzzy topological spaces, Applied Mathematical Sciences, 6 (94) (2012), 4691-4700.
[8] K. Sakthivel, Intuitionistic fuzzy Alpha generalized continuous mappings and Intuitionistic fuzzy Alpha generalized irresolute mappings, Applied Mathematical Sciences, 4 (2010), 1831-1842.
[9] R. Santhi and K. Sakthivel, Alpha generalized Homeomorphisms in Intuitionistic Fuzzy Topological Spaces, NIFS, 7 (2011), 30-36.

Citation :

M. Thirumalaiswamy, S. Birundha, "On α^(**) g-Closed sets, α^(**) g- Continuity and α^(**) g- Homeomorphisms in Intuitionistic Fuzzy Topological Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 5, pp. 78-85, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I5P1

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