Computer Science ›› 2017, Vol. 44 ›› Issue (9): 53-57.doi: 10.11896/j.issn.1002-137X.2017.09.010

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Simplification of Triadic Contexts and Concept Trilattices

QI Jian-jun and WEI Ling   

  • Online:2018-11-13 Published:2018-11-13

Abstract: Triadic concept analysis (TCA) is an extension of formal concept analysis (FCA).As the data foundation,the triadic contexts is commonly used in the real world.The ternary relationship shown in a triadic context is the base to forming concept trilattice,it is more complicated than binary relationship shown in a formal context.It results in intrication of triadic concepts and concept trilattices.Aiming to the information simplification of a concept trilattice,an approach to simplifying a triadic context and its concept trilattice on the basis of binary relationship was proposed,since the binary relationship is essential to some extent.The main idea is to delete the redundant elements in each universe while keeping all the binary relationship of the original triadic context.Actually,three universes of a triadic context can be considered at the same time using this method.After the simplification,we obtained some properties about the simplified concept trilattice,and we also discussed the relationship between former triadic concept and later triadic concept.These conclusions are research basis for the future algorithm research and application,also the base for the deeper theoretic study.

Key words: Triadic concept analysis,Triadic context,Triadic concept,Concept trilattice,Simplification

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