Sivakamasundari, K2017-03-312017-03-312010https://ir.avinuty.ac.in/handle/avu/2409In 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.