On \(\mathit{fgspr}\)-Closed and \(\mathit{fgspr}\)-Open Mappings
DOI:
https://doi.org/10.26713/jims.v9i3.770Keywords:
\(\mathit{fgspr}\)-closed map, \(\mathit{fgspr}\)-open map, \(\mathit{fgspr}^*\)-closed map, \(\mathit{fgspr}^*\)-open mapAbstract
The purpose of this paper is to introduce a new type of fuzzy generalized mappings namely \(\mathit{fgspr}\)-closed mappings, \(\mathit{fgspr}\)-open mappings, \(\mathit{fgspr}^*\)-closed mappings and \(\mathit{fgspr}^*\)-open mappings in fuzzy topological spaces and study some of their properties.Downloads
References
K.K. Azad, On fuzzy semi continuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl. 82 (1) (1981), 14 – 32.
G. Balasubramanian and P. Sundaram, On some generalizations of fuzzy continuous functions, Fuzzy Sets and Systems 86 (1) (1997), 93 – 100.
S. Balasubramanian and M. Lakshmi Sarada, gpr-closed and gpr-open mappings, Int. Jour. Math. Engin. Sci. 6 (1) (2012), 9 – 16.
S.S. Benchalli and J.J. Karnel, Fuzzy gb-continuous maps in fuzzy topological spaces, Int. J. Comp. Appl. 19 (1) (2011), 24 – 29.
A.S. Bin Shahna, On fuzzy strong continuity and fuzzy pre-continuity, Fuzzy Sets and Systems 44 (1991), 303 – 308.
C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182 – 190.
T. Fukutake, R.K. Saraf, M. Caldas and S. Mishra, Mappings via fgp-closed sets, Bull. of Fukuoka Univ. of Edu. 52 (2003), 11 – 20.
G. Navalagi, A.S. Chandrashekarappa and S.V. Gurushantanavar, On GSPR-closed sets in topological spaces, Int. Jour. Math. Comp. Appl. 2 (1-2) (2010), 51 – 58.
Y. Gnanambal and K. Balachandran, On GPR-continuous functions in topological spaces, Indian J. Pure Appl. Math. 30 (6) (1999), 581 – 593.
A.S. Madabhavi and S.N. Patil, On fuzzy g-(mu)-closed maps, fuzzy g-(mu)-continuous maps and fuzzy g-(mu)-irresolute mappings in fuzzy topological spaces, Int. Jour. Sci. Tech. Mgt. 5 (3) (2016), 41 – 51.
R.K. Saraf and M. Khanna, Fuzzy generalized semi-pre closed sets, Jour. Tri. Math. Soc. 3 (2001), 59 – 68.
M. Thiruchelvi and G. Ilango, Fuzzy generalized semi preregular closed sets in fuzzy topological spaces, International Journal of Humanities and Social Science Invention 6 (9) (2017), 63–71.
M. Thiruchelvi and G. Ilango, Fuzzy generalized semi preregular continuous functions in fuzzy topological spaces, International Journal of Pure and Applied Mathematics 106 (6) (2016), 75 – 83.
S.S. Thakur and S. Singh, On fuzzy semi-pre open and fuzzy semi-pre continuity, Fuzzy Sets and Systems 98 (3) (1998), 383 – 391.
A. Vadivel, K. Devi and D. Sivakumar, Fuzzy generalized preregular continuous mappings in fuzzy topological spaces, J. Advan. Stud. Topo. 1 (4) (2013), 22 – 31.
C.K. Wong, Fuzzy points and local properties of fuzzy topology, J. Math. Anal. Appl. 46 (1974), 316 – 328.
L.A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338 – 353.
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