A Reachability-based Navigation Paradigm for Triadic Concepts

Formal Concept Analysis offers a simple formalization for representing knowledge structures extracted from various data. Lately, the triadic case has become increasingly popular, given that data can often be interpreted in a triadic setting for further processing and analysis. However, visualization and navigation in triadic conceptual landscapes is not trivial and, so far, there are no tools implementing navigation in triconcept sets. This paper extends a navigation paradigm based on a reachability relation of triconcepts and on appropriately defined dyadic projections, and it offers a detailed description of different implementation methods. Moreover, we propose a visualization of the reachability clusters that gives an overview of the triconcepts’ structure and can assist the local navigation.