A geometrical heuristic for drawing concept lattices

Concept lattices are used in formal concept analysis to represent data conceptually so that the original data are still recognizable. Their line diagrams should reflect the semantical relationships within the data. Up to now, no satisfactory automatic drawing programs for this task exist. The geometrical heuristic is the most successful tool for drawing concept lattices manually. It ueses a geometric representation as intermediate step between the list of upper covers and the line diagram of the lattice.

Reuse in the development process of TOSCANA systems

TOSCANA is a graphical tool that supports the human-centered interactive processes of conceptual knowledge processing. The generality of the approach makes TOSCANA a universal tool applicable to a variety of domains. Only the so-called conceptual scales have to be designed for new applications. The presentation shows how the use of abstract scales allows the reuse of formerly defined conceptual scales. Furthermore it describes how thesauri and conceptual taxonomies can be integrated in the generation of conceptual scales.

Conceptual structures represented by conceptual graphs and formal concept analysis

Conceptual Graphs and Formal Concept Analysis have in common basic concerns: the focus on conceptual structures, the use of diagrams for supporting communication, the orientation by Peirce's Pragmatism, and the aim of representing and processing knowledge. These concerns open rich possibilities of interplay and integration. We discuss the philosophical foundations of both disciplines, and analyze their specific qualities. Based on this analysis, we discuss some possible approaches of interplay and integration.

A contextual-logic extension of TOSCANA

The aim of this paper is to indicate how TOSCANA may be extended to allow graphical representations not only of concept lattices but also of concept graphs in the sense of Contextual Logic. The contextual-logic extension of TOSCANA requires the logical scaling of conceptual and relatioal scales for which we propose the Peircean Algebraic Logic as reconstructed by R. W. Burch. As graphical representations we recommend, besides labelled line diagrams of concept lattices and Sowa's diagrams of conceptual graphs, particular information maps for utilizing background knowledge as much as possible. Our considerations are illustrated by a small information system about the domestic flights in Austria.

Conceptual knowledge discovery and data analysis

In this paper, we discuss Conceptual Knowledge Discovery in Databases (CKDD) in its connection with Data Analysis. Our approach is based on Formal Concept Analysis, a mathematical theory which has been developed and proven useful during the last 20 years. Formal Concept Analysis has led to a theory of conceptual information systems which has been applied by using the management system TOSCANA in a wide range of domains. In this paper, we use such an application in database marketing to demonstrate how methods and procedures of CKDD can be applied in Data Analysis. In particular, we show the interplay and integration of data mining and data analysis techniques based on Formal Concept Analysis. The main concern of this paper is to explain how the transition from data to knowledge can be supported by a TOSCANA system. To clarify the transition steps we discuss their correspondence to the five levels of knowledge representation established by R. Brachman and to the steps of empirically grounded theory building proposed by A. Strauss and J. Corbin.

Conceptual information systems discussed through an IT-security tool

Conceptual Information Systems are based on a formalization of the concept of "concept" as it is discussed in traditional philosophical logic. This formalization supports a human-centered approach to the development of Information Systems. We discuss this approach by means of an implemented Conceptual Information System for supporting IT security management in companies and organizations.

20. Theorietag der GI-Fachgruppe "Automaten und Formale Sprachen''

Die Fachgruppe AFS (früher Fachgruppe 0.1.5) der Gesellschaft für Informatik veranstaltet seit 1991 einmal im Jahr ein Treffen der Fachgruppe im Rahmen eines Theorietags, der traditionell eineinhalb Tage dauert. Seit dem Jahr 1996 wird dem eigentlichen Theorietag noch ein eintägiger Workshop zu speziellen Themen der theoretischen Informatik vorangestellt. In diesem Jahr wurde der Theorietag vom Fachgebiet "Theoretische Informatik" des Fachbereichs Elektrotechnik/Informatik der Universität Kassel organisiert. Er fand vom 29.9. bis 1.10.2010 in Baunatal bei Kassel statt. Dabei stand der begleitende Workshop unter dem allgemeinen Thema "Ausgewählte Themen der Theoretischen Informatik". Als Vortragende für diesen Workshop konnten Carsten Damm (Göttingen), Markus Holzer (Giessen), Peter Leupold (Kassel), Martin Plátek (Prag) und Heribert Vollmer (Hannover) gewonnen werden. Das Programm des eigentlichen Theorietags bestand aus 20 Vorträgen sowie der Sitzung der Fachgruppe AFS. In diesem Band finden sich die Zusammenfassungen aller Vorträge sowohl des Workshops als auch des Theorietags. Desweiteren enthält er das Programm und die Liste aller Teilnehmer.