Data quality assessment and data cleaning are context-dependent activities. Motivated by this observation, we propose the Ontological Multidimensional Data Model (OMD model), which can be used to model and represent contexts as logic-based ontologies. The data under assessment are mapped into the context for additional analysis, processing, and quality data extraction. The resulting contexts allow for the representation of dimensions, and multidimensional data quality assessment becomes possible. At the core of a multidimensional context, we include a generalized multidimensional datamodel and a Datalogy ontology with provably good properties in terms of query answering. These main components are used to represent dimension hierarchies, dimensional constraints, and dimensional rules and define predicates for quality data specification. Query answering relies on and triggers navigation through dimension hierarchies and becomes the basic tool for the extraction of quality data. The OMD model is interesting per se beyond applications to data quality. It allows for a logic-based and computationally tractable representation of multidimensional data, extending previous multidimensional data models with additional expressive power and functionalities.

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Keywords Datalogy, Ontology-based data access, Query answering, Weakly-sticky programs
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Journal Journal of Data and Information Quality
Bertossi, L, & Milani, M. (Mostafa). (2018). Ontological multidimensional data models and contextual data quality. Journal of Data and Information Quality, 9(3). doi:10.1145/3148239