πgα Homeomorphisms In Intuitionistic Fuzzy Topological Spaces
Keywords:
Intuitionistic fuzzy topology, Intuitionistic fuzzy πgα closed set, Intuitionistic fuzzy πgα homeomorphism and Intuitionistic fuzzy i-πgα homeomorphism
Abstract
In this paper, we introduce the concepts of intuitionistic fuzzy πgα homeomorphisms and intuitionistic fuzzy i-πgα homeomorphisms. Further, we study some of their properties.
References
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K.Sakthivel, On Generalized Semi Homeomorphism in Intuitionistic Fuzzy Topological Spaces, Int. J. of Computer Applications, 39(2012), 24-28.
K.Sakthivel, Studies on alpha generalized continuous mappings in intuitionistic fuzzy topological spaces, Ph. D Thesis, Bharathiar University, Coimabatore, (2011).
R.Santhi and K.Sakthivel, Alpha generalized Homeomorphism in Intuitionistic Fuzzy Topological Spaces, Notes on Intuitionistic Fuzzy Sets, 17(1)(2011), 30-36.
R.Santhi and K.Sakthivel, Intuitionistic fuzzy generalized semicontinuous mappings, Advances in Theoretical and Applied Mathematics, 5(2009), 73-82.
R.Santhi and K.Arun Prakash, On intuitionistic fuzzy semi-generalized closed sets and its applications, Int. J. Contemp. Math. Sci., 5(34)(2010), 1677-1688.
N.Seenivasagan, O.Ravi and S.Satheesh Kanna, πgα Closed sets in intuitionistic fuzzy topological spaces, J. of Advanced Research in Scientific Computing, 6(2014), 1-15.
N.Seenivasagan, O.Ravi and S.Satheesh Kanna, Intuitionistic Fuzzy πgα Continuous Mappings, J. of Advanced Research in Scientific Computing.
N.Seenivasagan, O.Ravi and S.Satheesh Kanna, πgα Closed Mappings in intuitionistic fuzzy topological spaces, Int. J. of Mathematics and its Applications.
S.S.Thakur and Rekha Chaturvedi, Regular generalized closed sets in intuitionistic fuzzy topological spaces, Universitatea Din Bacau, Studii Si Cercetari Stiintifice, Seria: Matematica, 16(2006), 257-272.
S.S.Thakur and Rekha Chaturvedi, Generalized closed sets in intuitionistic fuzzy topology, The Journal of Fuzzy Mathematics, 16(2008), 559-572.
M.Thirumalaiswamy and K.Ramesh, Semipre Generalized Homeomorphisms in Intuitionistic Fuzzy Topological Spaces, Int. J. of Math. Trends and Technology, 4(2013), 6-9.
Young Bae Jun and Seok-Zun Song, Intuitionistic fuzzy semi-pre open sets and Intuitionistic semi-pre continuous mappings, J. Appl. Math. & Computing, 19(2005), 467-474.
L.A.Zadeh, Fuzzy sets, Information and Control, 8(1965), 338-353.
C.L.Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24(1968), 182-190.
D.Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy sets and Systems, 88(1997), 81-89.
H.Gurcay, D.Coker and Es.A.Haydar, On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math., 5(1997), 365-378.
K.Hur and Y.B.Jun, On intuitionistic fuzzy alpha continuous mappings, Honam Math. Jour., 25(2003), 131-139.
S.J.Lee and E.P.Lee, The category of intuitionistic fuzzy topological spaces, Bull. Kor. Math. Soc., 37(2000), 63-76.
N.Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19(1970), 89-96.
S.Maragathavalli and K.Ramesh, Intuitionistic fuzzy π-generalized semi closed sets, Advances in Theoretical and Applied Mathematics, 7(1)(2012), 33-42.
S.Murugesan and P.Thangavelu, Fuzzy pre semi closed sets, Bull. Malays. Math. Sci. Soc., 31(2008), 223-232.
K.Sakthivel, On Generalized Semi Homeomorphism in Intuitionistic Fuzzy Topological Spaces, Int. J. of Computer Applications, 39(2012), 24-28.
K.Sakthivel, Studies on alpha generalized continuous mappings in intuitionistic fuzzy topological spaces, Ph. D Thesis, Bharathiar University, Coimabatore, (2011).
R.Santhi and K.Sakthivel, Alpha generalized Homeomorphism in Intuitionistic Fuzzy Topological Spaces, Notes on Intuitionistic Fuzzy Sets, 17(1)(2011), 30-36.
R.Santhi and K.Sakthivel, Intuitionistic fuzzy generalized semicontinuous mappings, Advances in Theoretical and Applied Mathematics, 5(2009), 73-82.
R.Santhi and K.Arun Prakash, On intuitionistic fuzzy semi-generalized closed sets and its applications, Int. J. Contemp. Math. Sci., 5(34)(2010), 1677-1688.
N.Seenivasagan, O.Ravi and S.Satheesh Kanna, πgα Closed sets in intuitionistic fuzzy topological spaces, J. of Advanced Research in Scientific Computing, 6(2014), 1-15.
N.Seenivasagan, O.Ravi and S.Satheesh Kanna, Intuitionistic Fuzzy πgα Continuous Mappings, J. of Advanced Research in Scientific Computing.
N.Seenivasagan, O.Ravi and S.Satheesh Kanna, πgα Closed Mappings in intuitionistic fuzzy topological spaces, Int. J. of Mathematics and its Applications.
S.S.Thakur and Rekha Chaturvedi, Regular generalized closed sets in intuitionistic fuzzy topological spaces, Universitatea Din Bacau, Studii Si Cercetari Stiintifice, Seria: Matematica, 16(2006), 257-272.
S.S.Thakur and Rekha Chaturvedi, Generalized closed sets in intuitionistic fuzzy topology, The Journal of Fuzzy Mathematics, 16(2008), 559-572.
M.Thirumalaiswamy and K.Ramesh, Semipre Generalized Homeomorphisms in Intuitionistic Fuzzy Topological Spaces, Int. J. of Math. Trends and Technology, 4(2013), 6-9.
Young Bae Jun and Seok-Zun Song, Intuitionistic fuzzy semi-pre open sets and Intuitionistic semi-pre continuous mappings, J. Appl. Math. & Computing, 19(2005), 467-474.
L.A.Zadeh, Fuzzy sets, Information and Control, 8(1965), 338-353.
How to Cite
N.Seenivasagan, S.Satheesh Kanna, & O.Ravi. (2015). πgα Homeomorphisms In Intuitionistic Fuzzy Topological Spaces. International Journal of Current Research in Science and Technology, 1(10), 1-11. Retrieved from https://crst.gfer.org/index.php/crst/article/view/44
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