Fuzzy grills and induced fuzzy topology

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 $(X, \tau)$. 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.

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Published

2010-10-15

Issue

Vol. 62 No. 4 (2010): Vol. 62, Issue 4

Section

Articles

License

Copyright (c) 2010 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.