Intuitionistic Fuzzy g¨-continuous Functions
Keywords:
Intuitionistic fuzzy topology, Intuitionistic fuzzy ¨ g-closed set, Intuitionistic fuzzy ¨ g-open set, Intuitionistic fuzzy ¨ gcontinuous function, Intuitionistic fuzzy ¨ g-irresolute function
Abstract
In this paper, we introduce the concepts of intuitionistic fuzzy ¨ g-continuous functions and intuitionistic fuzzy ¨ g-irresolute functions. Further, we study some of their properties.
References
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R.Santhi and K.Sakthivel, Intuitionistic fuzzy generalized semi continuous 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(2010), 1677-1688.
N.Seenivasagan, O.Ravi, A.D.Ramesh Babu and M.Rajakalaivanan, Intuitionistic fuzzy g¨-closed sets, International Journal of Mathematics And its Applications, 4(1-D)(2016), 47-57.
S.S.Thakur and Jyoti Pandey Bajpai, Intuitionistic fuzzy ω-closed sets and Intuitionistic fuzzy ω-continuity, International Journal of Contemporary Advanced Mathematics, 1(2010), 1-15.
S.S.Thakur and Rekha Chaturvedi, Generalized continuity in intuitionistic fuzzy topological spaces, Notes on Intuitionistic Fuzzy sets, 12(2006), 38-44.
S.S.Thakur and Rekha Chaturvedi, Generalized closed sets in intuitionistic fuzzy topology, The Journal of Fuzzy Mathematics, 16(2008), 559-572.
Young Bae Jun and Seok-Zun Song, Intuitionistic fuzzy semi preopen 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.
K.K.Azad, On fuzzy semi continuity, fuzzy almost continuity and fuzzy weakly continuity, Jour. Math. Anal. Appl., 82(1981), 14-32.
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, The J. Fuzzy Math, 5(1997), 365-378.
K.Hur and Y.B.Jun, On intuitionistic fuzzy alpha continuous mappings, Honam Math. J, 25(2003), 131-139.
D.Jayanthi, On generalized semipreclosed sets in intuitionistic fuzzy topological spaces, Ph. D Thesis, Bharathiar University, Coimbatore, (2011).
M.Jeyaraman, A.Yuvarani and O.Ravi, Intuitionistic fuzzy α-generalized semi continuous and irresolute mappings, International Journal of Analysis and Applications, 3(2)(2013), 93-103.
Joung Kon Jeon, Young Bae Jun and Jin Han Park, Intuitionistic fuzzy alpha continuity and intuitionistic fuzzy pre continuity, Int. J. Mathematics and Mathematical Sciences, 19(2005), 3091-3101.
N.Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19(1970), 89-96.
K.Sakthivel, Intuitionistic fuzzy alpha generalized continuous mappings and intuitionistic fuzzy alpha generalized irresolute mappings, Applied Mathematics Sciences, 4(2010), 1831-1842.
R.Santhi and D.Jayanthi, Intuitionistic fuzzy generalized semipreclosed mappings, NIFS, 16(2010), 28-39.
R.Santhi and D.Jayanth, Intuitionistic fuzzy generalized semi-pre continuous mappings, Int. J. Contemp. Math. Sci., 5(2010), 1455-1469.
R.Santhi and K.Sakthivel, Intuitionistic fuzzy generalized semi continuous 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(2010), 1677-1688.
N.Seenivasagan, O.Ravi, A.D.Ramesh Babu and M.Rajakalaivanan, Intuitionistic fuzzy g¨-closed sets, International Journal of Mathematics And its Applications, 4(1-D)(2016), 47-57.
S.S.Thakur and Jyoti Pandey Bajpai, Intuitionistic fuzzy ω-closed sets and Intuitionistic fuzzy ω-continuity, International Journal of Contemporary Advanced Mathematics, 1(2010), 1-15.
S.S.Thakur and Rekha Chaturvedi, Generalized continuity in intuitionistic fuzzy topological spaces, Notes on Intuitionistic Fuzzy sets, 12(2006), 38-44.
S.S.Thakur and Rekha Chaturvedi, Generalized closed sets in intuitionistic fuzzy topology, The Journal of Fuzzy Mathematics, 16(2008), 559-572.
Young Bae Jun and Seok-Zun Song, Intuitionistic fuzzy semi preopen 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, O.Ravi, A.D.Ramesh Babu, & M.Rajakalaivanan. (2016). Intuitionistic Fuzzy g¨-continuous Functions. International Journal of Current Research in Science and Technology, 2(4), 1-11. Retrieved from https://crst.gfer.org/index.php/crst/article/view/66
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