n-FUZZY PROXIMITY-III FUZZY TOPOLOGY INDUCED BY n-FUZZY PROXIMITY
No Thumbnail Available
Date
2010
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
In this paper, the fuzzy topology induced by n-fuzzy
proximity is defined and a relation between the topologies
induced by r>fuzzy proximity and its extension is obtained.
Here n-fuzzy proximity pn* and it extension, the fuzzy
proximity, EJipn) are used to prove that the topology 5(pn*)
induced by n-fuzzy proximity pn* is the same as the
topology 6[Ex{pn*)) induced by the fuzzy proximity Ex(pn*)-
KEYWORDS : Fuzzy topology, n-fuzzy proximity,
extension of n-fuzzy proximity, /n-valued fuzzy sets, n'*'
upper approximation and rf' lower approximation and n**'
lower approximation of a fuzzy set topology induced by
proximity.