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Topological Approach to Multivalued Information System

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Abstract

Rough set is a powerful tool for analyzing deterministic information systems. Problems arise when a nondeterministic information system (multivalued information system) is used to make a classification. In this paper, we introduce a new method to solve this problem by using topological bases. Firstly, we define the characteristic sets for multivalued information systems. These characteristic sets are used to generate topological bases which decompose data. We carry out the reduct and the core of this classification by using the topological bases based on these characteristic sets. New pre-topological approximations are introduced and some of their properties are proved. Finally, we define the accuracy measure and the membership function with respect to pre-topological approximations.

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Acknowledgments

The author would like to thank the reviewers for their valuable suggestions.

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  1. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh, 33516, Egypt

    R. Mareay

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  1. R. Mareay
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Correspondence to R. Mareay.

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Mareay, R. Topological Approach to Multivalued Information System. Theory Comput Syst 56, 406–417 (2015). https://doi.org/10.1007/s00224-014-9551-y

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  • DOI: https://doi.org/10.1007/s00224-014-9551-y

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