1. T. Kroupa. On Decomposition of Solutions for Coalitional Games. Submitted.
  2. T. Kroupa and M. Studený. Facets of the cone of totally balanced games. Submitted.


  1. M. Grabisch and T. Kroupa. The cone of supermodular games on finite distributive lattices. Accepted to Discrete Applied Mathematics, 2019.
  2. T. Kroupa. Ordered group-valued probability, positive operators, and integral representations. Algebra Universalis, 79(4):1-26, 2018.
  3. L. Adam and T. Kroupa. The intermediate set and limiting superdifferential for coalitional games: between the core and the Weber set. International Journal of Game Theory, 46(4):891-918, 2017.
  4. T. Kroupa and B. Teheux. Modal extension of Lukasiewicz logic for modelling coalitional power. Journal of Logic and Computation 27(1):129-154, 2017.
  5. T. Kroupa and V. Marra. Generalised states: a multi-sorted algebraic approach to probability. Soft Computing 21(1):57-67, 2017. Dedicated to the memory of Franco Montagna.
  6. M. Studený and T. Kroupa. Core-based criterion for extreme supermodular functions. Discrete Applied Mathematics 206:122–151, 2016.
  7. L. Běhounek, P. Cintula, C. Fermueller, and T. Kroupa. Representing Strategic Games and their Equilibria in Many-Valued Logics. Logic Journal of the IGPL 24(3):238-267, 2016.
  8. T. Kroupa and O. Majer. Optimal strategic reasoning with McNaughton functions. International Journal of Approximate Reasoning 55 (6):1458-1468, 2014.
  9. P. Cintula and T. Kroupa. Simple games in Lukasiewicz calculus and their cores. Kybernetika 49 (3):404-419, 2013.
  10. T. Kroupa. Extension of Belief Functions to Infinite-valued Events. Soft Computing 53 (16):1851-1861, 2012.
  11. T. Kroupa. Generalized Möbius transform of games on MV-algebras and its application to Cimmino- type algorithm for the core. In Optimization Theory and Related Topics, volume 568 of Contemporary Mathematics, pages 139–158. Amer. Math. Soc., Providence, RI, 2012.
  12. T. Kroupa. States in Lukasiewicz Logic Correspond to Probabilities of Rational Polyhedra. International Journal of Approximate Reasoning 53 (4):435-446, 2012.
  13. M. Kárný and T. Kroupa. Axiomatisation of Fully Probabilistic Design. Information Sciences 186 (1):105-113, 2012.
  14. T. Kroupa. Core of Coalition Games on MV-algebras. Journal of Logic and Computation, 21 (3):479-492, 2011.
  15. D. Butnariu and T. Kroupa. Enlarged Cores and Bargaining Schemes in Games with Fuzzy Coalitions. Fuzzy Sets and Systems, 160 (5):635-643, 2009.
  16. T. Kroupa. Geometry of Possibility Measures on Finite Sets. International Journal of Approximate Reasoning, 48 (1):237-245, 2008.
  17. T. Kroupa. Filters in Fuzzy Class Theory. Fuzzy Sets and Systems, 159 (14):1773-1787, 2008.
  18. D. Butnariu and T. Kroupa. Shapley Mappings and the Cumulative Value for n-Person Games with Fuzzy Coalitions. European Journal of Operational Research, 186 (1):288-299, 2008.
  19. T. Kroupa. Every State on Semisimple MV-algebra is Integral. Fuzzy Sets and Systems, 157 (20):2771-2782, 2006.
  20. T. Kroupa. Application of Choquet integral to measures of information in possibility theory. International Journal of Intelligent Systems, 21 (3):349-359, 2006.
  21. T. Kroupa. Representation and extension of states on MV-algebras. Archive for Mathematical Logic, 45 (4):381-392. 2006.
  22. T. Kroupa. Many-dimensional observables on Lukasiewicz tribe: Constructions, conditioning and conditional independence. Kybernetika, 41 (4):451-468, 2005.
  23. T. Kroupa. Conditional probability on MV-algebras. Fuzzy Sets and Systems, 149 (2):369-381, 2005.
  24. T. Kroupa. Conditional independence in probability theory on MV-algebras. Soft Computing, 8 (8):534-538, 2004.
  25. T. Kroupa. On application of Choquet integral in possibilistic information theory. Neural Network World, 13 (5):541-548, 2003.


  1. T. Kroupa and T. Flaminio. States of MV-algebras. Handbook of Mathematical Fuzzy Logic, volume 3. Eds. P. Cintula, C. Fermuller, C. Noguera. Volume 58 of Studies in Logic, Mathematical Logic and Foundations. College Publications, 2015.
  2. T. Kroupa and M. Vlach. Basic Solutions of Fuzzy Coalitional Games. Springer Handbook of Computational Intelligence. Eds. J. Kacprzyk, W. Pedrycz. Springer, 2015 .

  3. Complete publication list