Intuitionistic Fuzzy g′′′-Closed Sets
Keywords:
Intuitionistic fuzzy topology, Intuitionistic fuzzy g′′′-closed set, Intuitionistic fuzzy g′′′-open set
Abstract
In this paper, we introduce the concepts of intuitionistic fuzzy g′′′-closed sets and intuitionistic fuzzy g′′′-open sets. Further, we study some of their properties.
References
K. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and Systems, 20(1986), 87-96, doi: 10.1016/S0165-0114(86)80034-3.
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, doi: 10.1016/S0165-0114(96)00076-0.
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. J., 25(2003), 131-139.
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, doi: 10.1155/IJMMS.2005.3091.
N. Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19(1970), 89-96, doi: 10.1007/BF02843888.
P. Rajarajeswari and R. Krishna Moorthy, Intuitionistic fuzzy weakly generalized closed mappings, Journal of Advanced Studies in Topology, 4(2012), 20-27.
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 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.
S. S. Thakur and Jyoti Pandey Bajpai, Intuitionistic fuzzy w-closed sets and intuitionistic fuzzy w-continuity, International Journal of Contemporary Advanced Mathematics, 1(2010), 1-15.
S. S. Thakur and Rekha Chaturvedi, Generalized closed sets in intuitionistic fuzzy topology, The Journal of Fuzzy Mathematics, 16(2008), 559-572.
S. S. Thakur and Rekha Chaturvedi, Regular generalized closed sets in intuitionistic fuzzy topological spaces, Universitatea Din Bacau Studii Si Cercetar Stiintifice, 6(2006), 257-272.
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, doi: 10.1016/S0019-9958 (65)90241-X.
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, doi: 10.1016/S0165-0114(96)00076-0.
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. J., 25(2003), 131-139.
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, doi: 10.1155/IJMMS.2005.3091.
N. Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19(1970), 89-96, doi: 10.1007/BF02843888.
P. Rajarajeswari and R. Krishna Moorthy, Intuitionistic fuzzy weakly generalized closed mappings, Journal of Advanced Studies in Topology, 4(2012), 20-27.
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 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.
S. S. Thakur and Jyoti Pandey Bajpai, Intuitionistic fuzzy w-closed sets and intuitionistic fuzzy w-continuity, International Journal of Contemporary Advanced Mathematics, 1(2010), 1-15.
S. S. Thakur and Rekha Chaturvedi, Generalized closed sets in intuitionistic fuzzy topology, The Journal of Fuzzy Mathematics, 16(2008), 559-572.
S. S. Thakur and Rekha Chaturvedi, Regular generalized closed sets in intuitionistic fuzzy topological spaces, Universitatea Din Bacau Studii Si Cercetar Stiintifice, 6(2006), 257-272.
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, doi: 10.1016/S0019-9958 (65)90241-X.
How to Cite
S.Rose Mary, R.Malarvizhi, & O.Ravi. (2016). Intuitionistic Fuzzy g′′′-Closed Sets. International Journal of Current Research in Science and Technology, 2(7), 1-13. Retrieved from https://crst.gfer.org/index.php/crst/article/view/70
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