A characterization of the category FCS
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Srivastava et al. (J Fuzzy Math 2:525–534, 1994) introduced the notion of a fuzzy closure space and studied the category FCS of fuzzy closure spaces and fuzzy closure preserving maps. In this article, we have introduced the Sierpinski fuzzy closure space and proved that it is a Sierpinski object in the category FCS. Further, a characterization (up to an isomorphism) of the category FCS is given, with the help of the Sierpinski fuzzy closure space.
KeywordsFuzzy closure space Sierpinski fuzzy closure space Sierpinski object
The first author Harshita Tiwari gratefully acknowledges the financial support in the form of INSPIRE fellowship (offer letter no. DST/INSPIRE Fellowship/2017/IF170407), given by the Department of Science and Technology, New Delhi.
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Conflict of interest
Rekha Srivastava has no conflict of interest.
Human and animal rights
This article does not contain any studies with human participants or animals performed by any of the authors.