The category of soft sets

Article type: Research Article

Authors: Borzooei, R.A. | Mobini, M. | Ebrahimi, M.M.

Affiliations: Department of Mathematics, Shahid Beheshti University, G.C., Tehran, Iran

Note: [] Corresponding author. R.A. Borzooei, Department of Mathematics, Shahid Beheshti University, G.C., Tehran, Iran. E-mail: [email protected]

Abstract: Molodtsov initiated the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. In this paper, we consider some category-theoretic properties of the category of all soft sets, with morphisms between them. We also characterize several kinds of epimorphisms and monomorphisms.

Keywords: Soft sets, category, monomorphism, epimorphism

DOI: 10.3233/IFS-141286

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 1, pp. 157-167, 2015