Paraconsistent Logic Programs with Four-Valued Rough Sets

  • Jan Małuszyński
  • Andrzej Szałas
  • Aida Vitória
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5306)

Abstract

This paper presents a language for defining four-valued rough sets and to reason about them. Our framework brings together two major fields: rough sets and paraconsistent logic programming. On the one hand it provides a paraconsistent approach, based on four-valued rough sets, for integrating knowledge from different sources and reasoning in the presence of inconsistencies. On the other hand, it also caters for a specific type of uncertainty that originates from the fact that an agent may perceive different objects of the universe as being indiscernible. This paper extends the ideas presented in [9]. Our language allows the user to define similarity relations and use the approximations induced by them in the definition of other four-valued sets. A positive aspect is that it allows users to tune the level of uncertainty or the source of uncertainty that best suits applications.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Jan Małuszyński
    • 1
  • Andrzej Szałas
    • 2
  • Aida Vitória
    • 3
  1. 1.The College of Economics and Computer ScienceOlsztynPoland
  2. 2.Institute of InformaticsWarsaw UniversityWarsawPoland
  3. 3.Department of Science and TechnologyLinköping UniversityNorrköpingSweden

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