Research Interests

My main research interests are lattice theory, algebraic logic and their application to non-invasive data analysis and qualitative spatial reasoning.

Education

• Dipl. Math.: Freie Universität Berlin, 1975
• Dr. rer. nat.: Freie Universität Berlin, 1981
• Habilitation: Freie Universität Berlin, 1989

Recent Publications

• Ivo Düntsch and Dimiter Vakarelov.
  Region-based theory of discrete spaces: A proximity approach.
  Discrete Applied Mathematics, 2006. To appear.
• Ivo Düntsch and Michael Winter.
  Rough relation algebras revisited.
  Fundamenta Informaticae, 2006. To appear.
• Ivo Düntsch and Michael Winter.
  Weak contact structures.
  In Wendy MacCaull, Michael Winter, and Ivo Düntsch, editors, Proceedings of the Eighth International Seminar on Relational Methods in Computer Science, Lecture Notes in Computer Science, Heidelberg, 2006. Springer Verlag. To appear.
• Dominik Slezak, Guoyin Wang, Marcin S. Szczuka, Ivo Düntsch, and Yiyu Yao, editors.
  Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, 10th International Conference, RSFDGrC 2005, Regina, Canada, August 31 - September 3, 2005, Proceedings, Part I, volume 3641 of Lecture Notes in Computer Science. Springer, 2005.
• Ivo Düntsch and Michael Winter.
  A representation theorem for Boolean contact algebras.
  Theoretical Computer Science (B), 347:498-512, 2005.
• Ivo Düntsch.
  Relation algebras and their application in temporal and spatial reasoning.
  Artificial Intelligence Review, 23:315 - 357, 2005.
• Ivo Düntsch and Michael Winter.
  Algebraization and representation of mereotopological structures.
  JoRMiCS, 1:161-180, 2004.
• Ivo Düntsch, Ewa Orlowska, Anna Maria Radzikowska, and Dimiter Vakarelov.
  Relational Representation Theorems for Some Lattice-Based Structures.
  JoRMiCS, 1:132-160, 2004.
• Ivo Düntsch and Ewa S. Orlowska.
  Boolean algebras arising from information systems.
  Annals of Pure and Applied Logic, 127:77-98, 2004.
• Ivo Düntsch and Michael Winter.
  Construction of Boolean contact algebras.
  AI Communications, 13:235-246, 2004.
• Günther Gediga, Ivo Düntsch, and Jack Adams-Webber.
  On the direct scaling approach of eliciting aggregated fuzzy information: The psychophysical view. In Scott Dick, Lukasz Kurgan, Petr Musilek, Witold Pedrycz, and Marek Reformat, editors,
  Proceedings the 2004 Annual Meeting of the North American Fuzzy Information Processing Society, pages 948-953, 2004.
• Hui Wang, Ivo Düntsch, Günther Gediga, and Andrzej Skowron.
  Hyperrelations in version space.
  International Journal of Approximate Reasoning, 36:223-241, 2004.
• Alex Muir & Ivo Düntsch & Günther Gediga.
  Rough set data representation using binary decision diagrams.
  Revista Real Academia de Ciencias, Serie A, 98:197-213, 2004.

Recent M.Sc. Graduate Student Thesis

Current M.Sc. Graduate Student Thesis