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19-12-2016 | Foundations

Fuzzy topologies generated by fuzzy relations

Authors: Seema Mishra, Rekha Srivastava

Published in: Soft Computing | Issue 2/2018

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Abstract

In this paper, we have introduced and studied fuzzy topologies generated by fuzzy relations. Several related results have been proved. In particular, we have obtained characterizations of a fuzzy topology generated by a fuzzy relation, a fuzzy topology generated by a fuzzy interval order, a preorderable fuzzy topology and an orderable fuzzy topology. We have also introduced and studied fuzzy bitopological spaces generated by fuzzy relations.

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Title: Fuzzy topologies generated by fuzzy relations
Authors: Seema Mishra
Rekha Srivastava
Publication date: 19-12-2016
Publisher: Springer Berlin Heidelberg
Published in: Soft Computing / Issue 2/2018
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-016-2458-6

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