Fuzzy grills and induced fuzzy topology

M. N. Mukherjee, Sumita Das

In this paper we introduce a new kind of fuzzy topology as an accompanying structure generated by any given fuzzy grill on the ambient set $X$ in a fuzzy topological space $(X, \tau)$. The basic properties of this induced fuzzy topology are discussed here in some detail. We have also shown various relations between the fuzzy grill-oriented topology and the original fuzzy topology under some suitability condition applied on the fuzzy grill under consideration.