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.
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References
Molodtsov, D.: Soft Set Theory-First Results. Computers and Mathematics with Applications 37, 19–31 (1999)
Pawlak, Z., Skowron, A.: Rudiments of Rough sets. Information Sciences 177(1), 3–27 (2007)
Herawan, T., Mustafa, M.D.: On Multi-soft Sets Construction in Information Systems. In: Huang, D.-S., Jo, K.-H., Lee, H.-H., Kang, H.-J., Bevilacqua, V. (eds.) ICIC 2009. LNCS (LNAI), vol. 5755, pp. 101–110. Springer, Heidelberg (2009)
Herawan, T., Rose, A.N.M., Mustafa, M.D.: Soft Set Theoretic Approach for Dimensionality Reduction. In: Communication of Computer and Information Sciences, vol. 64, pp. 180–187. Springer, Heidelberg (2009)
Pawlak, Z.: Rough Sets: A Theoretical Aspect of Reasoning about Data. Kluwer Academic Publisher, Dordrecht (1991)
Maji, P.K., Biswas, R., Roy, A.R.: Soft Set Theory. Computers and Mathematics with Applications 45, 555–562 (2003)
Komorowski, J., Ohrn, A.: Modeling prognostic power of cardiac tests using rough sets. Artificial Intelligence in Medicine 15, 167–191 (1999)
Chen, D., Tsang, E.C.C., Yeung, D.S., Wang, X.: The Parameterization Reduction of Soft Sets and its Applications. Computers and Mathematics with Applications 49, 757–763 (2005)
Zhi, K., Gao, L., Wang, L., Li, S.: The Normal Parameter Reduction of Soft Sets and Its Algorithm. Computers and Mathematics with Applications 56, 3029–3037 (2008)
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Herawan, T., Deris, M.M., Abawajy, J.H. (2010). Matrices Representation of Multi Soft-Sets and Its Application. In: Taniar, D., Gervasi, O., Murgante, B., Pardede, E., Apduhan, B.O. (eds) Computational Science and Its Applications – ICCSA 2010. ICCSA 2010. Lecture Notes in Computer Science, vol 6018. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12179-1_19
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DOI: https://doi.org/10.1007/978-3-642-12179-1_19
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