Abstract
The aim of this note is to give some characterizations of T 0-objects in the categories FTS and BFTS of fuzzy topological spaces and fuzzy bitopological spaces respectively. For FTS, this is done by using a Salbany-type closure operator given already by Alderton and Castellini. For BFTS, such an operator is first explicitly described and thereafter it is analogously used to characterize T 0-objects of BFTS.
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