Visualization and navigation paradigms for triadic formal concept analysis

From International Center for Computational Logic

Visualization and navigation paradigms for triadic formal concept analysis

Talk by Diana Troancă
Formal Concept Analysis (FCA) is a mathematical discipline that describes conceptual hierarchies arising from a binary incidence structures (so-called formal contexts) in terms of lattice theory. In a concept lattice, formal concepts are ordered by subconcept-superconcept relationship, giving rise to very intuitive ways of visualizing and navigating data sets. FCA has become an extremely active and important field of research having made impressive progress over the last years. This research focuses on Triadic FCA, an extension of “classical” FCA considering ternary incidence structures (tricontexts with objects, attributes and conditions) giving rise to so-called triconcepts. Although such ternary incidence structures arise naturally in diverse data analysis settings, the structure of the corresponding trilattices is still not so well-understood and previous attempts to develop intuitive visualizations have led to unsatisfactory results. This presentation aims to introduce new ideas for a visualization and navigation framework that enable human users to explore and interact with triadic data sets in an intuitive and natural manner.