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Abstract
In this paper, we offer a new class of sets called fuzzy g -open sets in fuzzy topological spaces. It turns out that this class lies between the class of fuzzy open sets and the class of fuzzy generalized open sets. 2010 Mathematics Subject Classification: 54C10, 54C08, 54C05.
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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.
G. Balasubramanian, On fuzzy pre-separation axioms, Bull. Calcutta Math. Soc., 90(6)(1998), 427-434.
A. S. Bin shahna, On fuzzy strong semicontinuity and fuzzy precontinuity, Fuzzy Sets
and Systems, 44(2) (1991), 303-308.
C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968),182-190.
M. Jeyaraman, J. Rajalakshmi, and O. Ravi, Another generalization of closed sets in
fuzzy topological spaces, IJMA-4(8), August-2013.
R. Prasad, S. S. Thakur and R. K. Saraf, Fuzzy -irresolute mappings,J. Fuzzy Math.,
(2) (1994), 335-339.
M. Rajamani, On decomposition of fuzzy continuity in fuzzy topological spaces, Acta
Ciencia Indica, XXVIIM (4) (2001), 545-547.
R. K. Saraf and M. Khanna, Fuzzy generalized semipreclosed sets, J. Tripura Math.
Soc., 3(2001), 59-68.
R. K. Saraf and M. Khanna, On gs-closed sets in fuzzy topology,J. Indian Acad.
Math., 25(1) (2003), 133-143.
R. K. Saraf, M. Caldas and S. Mishra, Results via Fg -closed sets and F g-closed
sets, preprint.
M. Sudha , E. Roja and M. K. Uma, Slightly fuzzy -continuous mappings, Int.
Journal of Math. Analysis, 5(16) (2011) , 779-787.
S. S. Thakur and S. Singh, On fuzzy semi-preopen sets and fuzzy semi- precontinuity,
Fuzzy Sets and Systems, 98(3) (1998), 383-391.
J. Tong, A decomposition of fuzzy continuity, Fuzzy Math.,7(1987), 97-98.
T. H . Yalvac , Semi-interior and semi-closure of a fuzzy set , J. Math.Anal. Appl.,
(2) (1988), 356-364.
L. A. Zadeh, Fuzzy sets, Information and Control 8(1965), 338-353.