Fuzzy grills and induced fuzzy topology

M. N. Mukherjee; Sumita Das

Authors

M. N. Mukherjee Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700 019, INDIA Author
Sumita Das Department of Mathematics, Sammilani Mahavidyalaya E. M. Bypass, Kolkata 700 075, INDIA Author

Keywords:

Fuzzy topology, fuzzy Grill, fuzzy topology suitable for a fuzzy grill

Subjects:

54A40, 54D20, 54D30

Abstract

In this paper we introduce a new kind of fuzzy topology as anaccompanying structure generated by any given fuzzy grill on theambient set $X$ in a fuzzy topological space $(X, τ)$ . Thebasic properties of this induced fuzzy topology are discussed herein some detail. We have also shown various relations between thefuzzy grill-oriented topology and the original fuzzy topologyunder some suitability condition applied on the fuzzy grill underconsideration.

Fuzzy grills and induced fuzzy topology

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