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Rough Sets and Relational Learning

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Transactions on Rough Sets I

Part of the book series: Lecture Notes in Computer Science ((TRS,volume 3100))

Abstract

Rough Set Theory is a mathematical tool to deal with vagueness and uncertainty. Rough Set Theory uses a single information table. Relational Learning is the learning from multiple relations or tables. Recent research in Rough Set Theory includes the extension of Rough Set Theory to Relational Learning. A brief overview of the work in Rough Sets and Relational Learning is presented.

The authors’ work in this area is then presented. Inductive Logic Programming (ILP) is one of the main approaches to Relational Learning. The generic Rough Set Inductive Logic Programming model introduces a rough setting in ILP. The Variable Precision Rough Set Inductive Logic Programming model (VPRSILP model) extends the Variable Precision Rough Set model to ILP.

In the cVPRSILP approach based on the VPRSILP model, elementary sets are defined using attributes that are based on a finite number of clauses of interest. However, this results in the number of elementary sets being very large. So, only significant elementary sets are used, and test cases are classified based on their proximity to the significant elementary sets.

The utility of this approach is shown in classification experiments in predictive toxicology.

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Milton, R.S., Maheswari, V.U., Siromoney, A. (2004). Rough Sets and Relational Learning. In: Peters, J.F., Skowron, A., Grzymała-Busse, J.W., Kostek, B., Świniarski, R.W., Szczuka, M.S. (eds) Transactions on Rough Sets I. Lecture Notes in Computer Science, vol 3100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27794-1_15

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  • DOI: https://doi.org/10.1007/978-3-540-27794-1_15

  • Publisher Name: Springer, Berlin, Heidelberg

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