Abstract
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.
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Acknowledgements
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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Rekha Srivastava has no conflict of interest.
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Tiwari, H., Srivastava, R. A characterization of the category FCS. Soft Comput 23, 13001–13005 (2019). https://doi.org/10.1007/s00500-019-04270-2
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DOI: https://doi.org/10.1007/s00500-019-04270-2