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Issue title: To Andrzej Skowron on His 70th Birthday
Article type: Research Article
Authors: Ziarko, Wojciech | Chen, Xugunag
Affiliations: Department of Computer Science, University of Regina, Regina, Canada. ziarko@sasktel.net | Department of Computer Science, University of Regina, Regina, Canada. asialion@hotmail.com
Note: [] Address for correspondence: Department of Computer Science, University of Regina, Regina, SK, S4S 0A2 Canada
Abstract: The article reviews the basics of the variable precision rough set and the Bayesian approaches to data dependencies detection and analysis. The variable precision rough set and the Bayesian rough set theories are extensions of the rough set theory. They are focused on the recognition and modelling of set overlap-based, also referred to as probabilistic, relationships between sets. The set-overlap relationships are used to construct approximations of undefinable sets. The primary application of the approach is to analysis of weak data co-occurrence-based dependencies in probabilistic decision tables learned from data. The probabilistic decision tables are derived from data to represent the inter-data item connections, typically for the purposes of their analysis or data value prediction. The theory is illustrated with a comprehensive application example illustrating utilization of probabilistic decision tables to face image classification.
Keywords: rough sets, approximation space, probabilistic dependencies, variable precision rough sets, Bayesian rough sets, probabilistic decision tables, machine learning
DOI: 10.3233/FI-2013-904
Journal: Fundamenta Informaticae, vol. 127, no. 1-4, pp. 193-207, 2013
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