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The problem of reducts is an interesting issue in all rough set models. In this paper, we propose the concept of the reduct in a single valued neutrosophic β-covering approximation space (SVN-β-CAS). Moreover, reducts in SVN-β-CASs are investigated while adding and removing some objects of the universe, respectively. Firstly, the notion of the reduct in a SVN-β-CAS is presented. It can be seen as the generalization of the reduct in covering and fuzzy β-covering approximation spaces. Then, two new SVN-β-CASs are presented while adding and removing some objects of the original universe. Finally, some properties of reducts of SVN β-coverings are investigated while adding and removing some objects, respectively.

Reducts in single valued neutrosophic ß-covering approximation spaces