Topological solution of missing attribute values problem in incomplete information tables |
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Authors: | AS Salama |
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Affiliation: | Faculty of Science, Tanta University, Tanta, Egypt |
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Abstract: | In this paper, we present a new method of data decomposition to avoid the necessity of reasoning from data with missing attribute values. We define firstly a general binary relation on the original incomplete dataset. This binary relation generates data subsets without missing values. These data subsets are used to generate a topological base relation which decomposes datasets. We investigate a new approach to find the missing values in incomplete datasets. New pre-topological approximations are initiated and some of their properties are proved. Also, pre-topological measures are defined and studied. Finally, the reducts and the core of incomplete information system are determined. |
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Keywords: | Topological spaces Preopen sets Rough sets Incomplete tables Rule induction |
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