Fuzzy e-paraopen Sets and Maps in Fuzzy Topological Spaces
Article Main Content
This article is to study the concepts of fuzzy e-paraopen and fuzzy e-paraclosed sets in fuzzy topological spaces. Further, we extent to study few class of fuzzy maps namely fuzzy e-paracontinuous, ∗-fuzzy e-paracontinuous, fuzzy e-parairresolute, fuzzy minimal e-paracontinuous, fuzzy maximal e-paracontinuous mappings and study their properties.
References
-
Ajoy Mukherjee and Kallol Bhandhu Bagchi, On mean open set and mean closed sets, Kyungpook Math. J. 56(2016), 1259-1265.
Google Scholar
1
-
C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182-190.
Google Scholar
2
-
B. M. Ittanagi and R. S. Wali, On fuzy minimal open and fuzzy maximal open sets in fuzzy topological spaces, International J. of Mathematical Sciences
Google Scholar
3
-
and Applications,1(2),2011.
Google Scholar
4
-
B. M. Ittanagi and S. S. Benchalli, On paraopen sets and maps in topological spaces, Kyungpook Math. J., 56(1)(2016), 301-310.
Google Scholar
5
-
F. Nakaoka and N. Oda, Some Properties of Maximal Open Sets, International Journal of Mathematics and Mathematical Sciences, 21(2003), 1331-1340.
Google Scholar
6
-
F. Nakaoka and N. Oda, Minimal closed sets and maximal closed sets, International Journal of Mathematics and Mathematical Sciences, (2006), 1-8.
Google Scholar
7
-
M. Sankari, S. Durai raj and C. Murugesan, Fuzzy Minimal and Maximal e-Open Sets(Submitted).
Google Scholar
8
-
V. Seenivasan and K. Kamala, Fuzzy e-continuity and fuzzy e-open sets, Annals of Fuzzy Mathematics and Informatics, 8(1)(2014),141- 148.
Google Scholar
9
-
Supriti Saha, Fuzzy δ-continuous mappings, J. Math. Anal. Appl. 126 (1987) 130-142.
Google Scholar
10
-
L. A. Zadeh, Fuzzy sets, Information and control 8 (1965), 338-353.
Google Scholar
11