Tutorial: Temporal relational concept analysis (TRCA)

Temporal Relational Concept Analysis (TRCA) – Full-day tutorial (Tuesday) 

by Prof. Dr. Karl Erich Wolff

Bio: Karl Erich Wolff has studied mathematics and physics at the University Giessen and received a PhD and the postdoctoral lecture qualification there. From 1982 to 2011 he had been professor for mathematics at the University of Applied Sciences in Darmstadt. Since 1983 he is cooperating with the Research Group Concept Analysis led by Prof. Dr. Rudolf Wille. Since 2011 Karl Erich Wolff is president of the Ernst-Schröder-Center for Conceptual Knowledge Processing. He has introduced Temporal Relational Concept Analysis and has applied it in industry, psychology and medicine.


Type of the tutorial:  This tutorial will happen on Tuesday, June 13, from 9:30 am until 5:30 pm. Participants will use the programs Cernato, Siena, and ToscanaJ on their own computers studying their own temporal relational data or prepared exercise data. They can even send their own data for consultancy until May 21 to karl.erich.wolff@t-online.de


Specific issues

The tutorial leads the participants in an interactive atmosphere from their understanding of temporal or relational data to a theoretically well-founded conceptual representation of temporal relational data with relations of arbitrary arity.

Starting from small examples of temporal data we first introduce the main ideas around the notion of a temporal system and a state of an object at a certain time. The most simple case yields trajectories of objects in concept lattices, in the general case when distributed objects exist they are represented as moving clouds in a concept lattice. As a side effect problems around particles and waves in physics will be understood conceptually.

In the afternoon session the tutorial will firstly focus on conceptual scaling using the program Cernato, secondly on the Temporal Concept Analysis Tool in Siena, and finally on the representation of moving distributed objects in ToscanaJ. For temporal relational data with many relations of arbitrary arity ToscanaJ can be used as a flexible granularity tool for searching in such data.


Schedule Tuesday, June 13

9:30 –   10:15 Introduction to Temporal Relational Concept Analysis by examples

10:30 – 11:15 Conceptual Time Systems, conceptual scaling, views, objects, time, states

11:30 – 12:15 Transitions, trajectories, distributed objects, particles and waves, relational data

14:30 – 15:15 Conceptual scaling of temporal relational data using Cernato

15:30 – 16:15 Temporal Concept Analysis in Siena, generation of trajectories

16:30 – 17:15 Distributed objects in ToscanaJ, searching in temporal relational data


Instructions for participants

The main ideas will be explained during the morning lectures, for the afternoon lectures the participants need ToscanaJ and Cernato on their own computers. Each lecture contains prepared exercises. Questions and discussions are welcome. To prepare for the tutorial participants might read the following three papers.


  • Temporal Concept Analysis explained by examples (TCAeE2.pdf)
  • Applications of Temporal Conceptual Semantic Systems (ATCSS3.pdf)
  • ‘Particles’ and ‘Waves’ as understood by Temporal Concept Analysis (WolffICCS04.pdf)


  • ToscanaJ (download): The ToscanaJ-Suite contains the programs ToscanaJ, Elba and Siena.



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