L-Fuzzy Gradation of Openness and L-Fuzzy Gradation of Proximity
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.2, pp.71-94
Mondal Taras Kumar
Samanta S.K.
Mondal,
T.
K.
, &
Samanta,
S.
(2006). L-Fuzzy Gradation of Openness and L-Fuzzy Gradation of Proximity. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 13(2), 71-94.
Abstract
In this paper we study lattice valued fuzzy gradation of openness so that fuzzy gradation of openness [13] could be obtained as a particular case. Some of its properties are studied. We also give definitions of lattice valued graded fuzzy filters, graded, fuzzy grills, graded fuzzy preproximities and proximities.
- keywords
-
fuzzy topology,
L-fuzzy family,
gradation of openness,
fuzzy gradation of openness,
L-fuzzy gradation of openness,
fuzzy preproximity,
fuzzy proximity