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

  IJMTT-book-cover
 		 International Journal of Mathematical Trends and Technology (IJMTT)          
 
© 2013 by IJMTT Journal
Volume-4 Issue-5                           
Year of Publication : 2013
Authors : M. Thirumalaiswamy and S. Birundha

MLA

M. Thirumalaiswamy and S. Birundha"On α^(**) g-Closed sets, α^(**) g- Continuity and α^(**) g- Homeomorphisms in Intuitionistic Fuzzy Topological Space"International Journal of Mathematical Trends and Technology (IJMTT),V4(5):78-85. 2013. Published by Seventh Sense Research Group.

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. 2010 Mathematics Subject Classification: 54A40, 03F55

References

[1] K. T. Atanassov,Intuitionistic fuzzy sets, Fuzzy sets and systems, 20 (1986), 87-96.
[2] C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1986), 81-89.
[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.

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.