Convergence of Generalized Nets and Filters in Graded L-Fuzzy Topological Spaces
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2006, v.13 no.1, pp.47-69
Mondal K.K.
Samanta S.K.
Mondal,
K.
, &
Samanta,
S.
(2006). Convergence of Generalized Nets and Filters in Graded L-Fuzzy Topological Spaces. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 13(1), 47-69.
Abstract
In this paper, an idea of graded fuzzy net is introduced; its convergence is studied; Relations between g-net and g-filter are established in L-fuzzy setting.
- keywords
-
fuzzy net,
fuzzy filter,
gradation of openness,
gradation of neighbour hoodness,
L-fuzzy topological spaces