Abstract

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.

Keywords: Fuzzy topology, fuzzy Grill, fuzzy topology suitable for a fuzzy grill.

MSC: 54A40, 54D20, 54D30

Pages:  285$-$297     

Volume  62 ,  Issue  4 ,  2010