Soft Computing

, Volume 23, Issue 24, pp 13001–13005 | Cite as

A characterization of the category FCS

  • Harshita TiwariEmail author
  • Rekha Srivastava


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.


Fuzzy 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.

Compliance with ethical standards

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.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mathematical SciencesIndian Institute of Technology (Banaras Hindu University)VaranasiIndia

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