Matrices representation of multi soft-sets and its application

Authors:
Tutut Herawan;Mustafa Mat Deris;Jemal H. Abawajy
Affiliations:
Faculty of Information Technology and Multimedia, Universiti Tun Hussein Onn Malaysia, Johor, Malaysia;Faculty of Information Technology and Multimedia, Universiti Tun Hussein Onn Malaysia, Johor, Malaysia;School of Engineering and Information Technology, Deakin University, Geelong, VIC, Australia
Venue:
ICCSA'10 Proceedings of the 2010 international conference on Computational Science and Its Applications - Volume Part III
Year:
2010

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Abstract

In previous paper, we introduced a concept of multi-soft sets and used it for finding reducts. However, the comparison of the proposed reduct has not been presented yet, especially with rough-set based reduct. In this paper, we present matrices representation of multi-soft sets. We define AND and OR operations on a collection of such matrices and apply it for finding reducts and core of attributes in a multi-valued information system. Finally, we prove that our proposed technique for reduct is equivalent to Pawlak’s rough reduct.