FCA Tools Bundle – a Tool that Enables Dyadic and Triadic Conceptual Navigation

Paper: Levente Lorand Kis, Christian Sacarea and Diana Troanca, FCA Tools Bundle – a Tool that Enables Dyadic and Triadic Conceptual Navigation, 5th Workshop “What can FCA do for Artificial Intelligence” at ECAI 2016, pp. 43-45

Abstract: Formal Concept Analysis is a prominent field of applied mathematics handling collections of knowledge – formal concepts – which are derived from some basic data types, called formal contexts by using concept forming operators. One of the strengths of FCA is the elegant, intuitive and powerful graphical representation of landscapes of knowledge as concept lattices. Nevertheless, in case of triadic FCA (3FCA) for more than 20 years there was no automatic tool for graphical representation of triconcept sets. Moreover, the triangular representation of trilattices, used so far in 3FCA has several disadvantages. Besides the lack of clarity in representation, one major disadvantage is that not every trilattice has a triangular diagram representation. In this paper we focus on the problem of locally navigating in triconcept sets and propose a tool which implements this navigation paradigm. To the best of our knowledge this is the first tool which makes navigation in larger triconcepts sets possible, by flipping through a certain collection of concept lattices.

Keywords: FCA, Formal Concept Analysis, Context, Concepts, Dyadic Context, Triadic Context, Concept Finder, FCA Tools Bundle, Tools