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Modelling Complex Patterns by Information Systems

Stepaniuk J., Bazan J.G., Skowron A.

Fundamenta Informaticae

2005

Vol. 67, nr 1-3

203--217

We outline an approach to hierarchical modelling of complex patterns that is based on operations of sums with constraints on information systems. We show that such operations can be treated as a universal tool in hierarchical modelling of complex patterns.

Rough Sets and Infomorphisms: Towards Approximation of Relations in Distributed Environments

Skowron A., Stepaniuk J., Peters J.F.

Fundamenta Informaticae

2003

Vol. 54, nr 2,3

263-277

We discuss the relationships between information systems and classifications as well as between infomorphisms and definability of relations (between whole objects and their parts) in information systems. Infomorphisms between information systems (classifications) IS1 and IS2 make it possible to define some formulas over IS2 by means of formulas over IS1. The remaining formulas over IS2 can be approximatively defined by means of formulas over IS1. The approximation operations are defined using the rough set approach. We present definitions and examples of such approximations.