Tomáš Kroupa Research Fellow

Department of Decision-Making Theory Institute of Information Theory and Automation Academy of Sciences of the Czech Republic Pod Vodárenskou věží 4 182 08 Prague 8 Czech Republic Tel. +420 266 052 595 Fax. +420 286 581 419 E-mail

Research Interests

• coalition game theory (AMS MSC 91A12)
• non-additive set functions in uncertainty modelling (AMS MSC 28Exx)
• mathematical fuzzy logic and its applications to formal methods in fuzzy mathematics (AMS MSC 03B52)

Selected Papers and Preprints

1. Kroupa, T. Core of Coalition Games on MV-algebras. Accepted to Journal of Logic and Computation.
2. Butnariu, D., Kroupa, T. Enlarged Cores and Bargaining Schemes in Games with Fuzzy Coalitions. Fuzzy Sets and Systems, 160 (5):635-643, 2009.
3. Kroupa, T. Geometry of Cores of Submodular Coherent Upper Probabilities and Possibility Measures. Advances in Soft Computing 48 D. Dubois et al. (Eds.), Soft Methods for Handling Variability and Imprecision, p.306-312, 2008.
4. Kroupa, T. Geometry of Possibility Measures on Finite Sets. International Journal of Approximate Reasoning, 48 (1):237-245, 2008.
5. Kroupa, T. Filters in Fuzzy Class Theory. Fuzzy Sets and Systems, 159 (14):1773-1787, 2008.
6. Butnariu, D., Kroupa, T. Shapley Mappings and the Cumulative Value for n-Person Games with Fuzzy Coalitions. European Journal of Operational Research, 186 (1):288-299, 2008.
7. Běhounek, L., Kroupa, T. Topology in fuzzy class theory: Basic notions. Lecture Notes in Computer Science 4529 LNAI: 513-522, 2007.
8. Kroupa, T. Every State on Semisimple MV-algebra is Integral. Fuzzy Sets and Systems, 157 (20):2771-2782, 2006.
9. Kroupa, T. Application of Choquet integral to measures of information in possibility theory. International Journal of Intelligent Systems, 21 (3):349-359, 2006.
10. Kroupa, T. Representation and extension of states on MV-algebras. Archive for Mathematical Logic, 45 (4):381-392. 2006.
11. Kroupa, T. Many-dimensional observables on Lukasiewicz tribe: Constructions, conditioning and conditional independence. Kybernetika, 41 (4):451-468, 2005.
12. Kroupa, T. Conditional probability on MV-algebras. Fuzzy Sets and Systems, 149 (2):369-381, 2005.
13. Kroupa, T. Conditional independence in probability theory on MV-algebras. Soft Computing, 8 (8):534-538, 2004.
14. Kroupa, T. On application of Choquet integral in possibilistic information theory. Neural Network World, 13 (5):541-548, 2003.

Presentations

• Cores of Coalition Games (summary talk delivered at the seminar of Institute of Information Theory and Automation, Nov 2008)
• Coalitional game theory (tutorial given at Tampere University of Technology, June 2008)
• Aumann-Shapley value of cooperative games with infinitely many players (in Czech)

Co-workers

• Libor Běhounek
• Dan Butnariu

Teaching

• Probability theory and statistics
• Introductory complex analysis and linear algebra (Mathematics 4B)

Membership

• Association of Czech Mathematicians and Physicists
• Czech Society for Cybernetics and Informatics
• Editorial board of Kybernetika Journal

Awards

• Otto Wichterle Award (2009)
• Josef Hlávka's Prize (2005)