About ten years ago, triadic contexts were presented by Lehmann and
Wille as an extension of Formal Concept Analysis. However, they have rarely
been used up to now, which may be due to the rather complex structure of the
resulting diagrams. In this paper, we go one step back and discuss how traditional
line diagrams of standard (dyadic) concept lattices can be used for exploring and
navigating triadic data.
Our approach is inspired by the slice & dice paradigm of On-Line-Analytical Processing
(OLAP). We recall the basic ideas of OLAP, and show how they may be
transferred to triadic contexts. For modeling the navigation patterns a user might
follow, we use the formalisms of finite state machines. In order to present the
benefits of our model, we show how it can be used for navigating the IT Baseline
Protection Manual of the German Federal Office for Information Security.
Auch erschienen in: Ganter, Bernhard u.a. (Hrsg.): Formal concept analysis. (Lecture notes in computer science ; 3403) Berlin u.a. : Springer, 2005. S. 315-328. ISBN 3-540-24525-1 (The original publication is available at www.springerlink.com)