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Institute for Mathematical Methods in Medicine and Data Based Modeling
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Lectures at international conferences or workshops

  • Realization of semisimple MV-algebras by means of propositional structures,
    Conference for Fuzzy Set Theory and Applications (FSTA), 30. 1. - 4. 2. 2000, Liptovský Ján (Slovakia).
  • Pseudoeffect algebras,
    International Students' Conference on Applied Mathematics (ISCAM), 14. - 15. 4. 2000, Bratislava (Slovakia).
  • Structure theory for pseudoeffect algebras,
    Conference of the International Quantum Structures Association (IQSA), 30. 3. - 5. 4. 2001, Cesenatico (Italy).
  • Generalized pseudoeffect algebras and related quantum structures,
    International Students' Conference on Applied Mathematics (ISCAM), 20. - 21. 4. 2001, Bratislava (Slovakia).
  • Archimedean pseudoeffect algebras,
    Conference for Fuzzy Set Theory and Applications (FSTA), 27. 1. - 1. 2. 2002, Liptovský Ján (Slovakia).
  • Partial algebras among quantum structures,
    Arbeitstagung Allgemeine Algebra (AAA), 22. - 24. 2. 2002, Kaiserslautern (Germany).
  • Pseudoeffect algebras with states - typical examples, sufficient conditions,
    International Students' Conference on Applied Mathematics (ISCAM), 19. - 20. 4. 2002, Bratislava (Slovakia).
  • Nearly commutative pseudoeffect algebras,
    Conference of the International Quantum Structures Association (IQSA), 1. - 5. 7. 2002, Vienna (Austria).
  • Weak effect algebras,
    International Students' Conference on Applied Mathematics (ISCAM), 11. - 12. 4. 2003, Bratislava (Slovakia).
  • Notes on product logic with involution,
    2nd Workshop on Mathematical Structures for Nonstandard Logics, 12. 12. 2003, Prague (Czech Republic).
  • Representing situation-dependent fuzzy sets,
    Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 10. - 12. 9. 2003, Zittau (Germany).
  • How can we interpolate fuzzy functions?,
    Conference for Fuzzy Set Theory and Applications (FSTA), 26. 1. - 30. 1. 2004, Liptovský Ján (Slovakia).
  • Smooth extensions of fuzzy if-then rule bases,
    International Conference on Computational Intelligence (Fuzzy days), 29. 9. - 1. 10. 2004, Dortmund (Germany).
  • BL- and MTL-algebras as partial structures,
    26th Linz Seminar on Fuzzy Set Theory, 1. - 5. 2. 2005, Linz (Austria).
  • (with M. Navara, D. Butnariu) Linear spaces of fuzzy vectors,
    26th Linz Seminar on Fuzzy Set Theory, 1. - 5. 2. 2005, Linz (Austria).
  • Metrics on universes of propositions determining continuous t-norms,
    Algebraic and Topological Methods in Non-Classical Logics II, 15. - 18. 6. 2005, Barcelona (Spain).
  • (with M. Navara) Steiner point of fuzzy sets,
    Conference of the International Fuzzy Systems Association (IFSA), 28. - 31. 7. 2005, Beijing (China).
  • Semantics for propositional fuzzy logics,
    Conference "Logic in Hungary", 5. - 11. 8. 2005, Budapest (Hungary).
  • Fuzzy logic as a logic of information with uncertain content,
    International Conference Logic of Soft Computing IV, 5. - 7. 10. 2005, Ostrava (Czech Republic).
  • Equivalence Relations on Lattices and Residuated lattices,
    Prague International Colloquium "Uncertainty: Reasoning about probability and vagueness, 5. - 8. 9. 2006, Prag (Czech Republic).
  • A logic based on the ordinal sums of Lukasiewicz t-norms,
    Second Czech-Catalan Conference in Mathematics, 21. - 23. 9. 2006, Barcelona (Spain).
  • Towards a Proof Theory of Basic Logic,
    Conference of the International Fuzzy Systems Association (IFSA), 18. - 21. 6. 2007 in Cancún (Mexiko).
  • Left-continuous t-norms as functional algebras,
    Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 11. - 14. 9. 2007, Ostrava (Czech Republic).
  • Boolean automorphisms and the semantics of fuzzy and quantum logics,
    First Sardinian-Catalan Workshop on Algebraic and Fuzzy Logic, 6.-7. 10. 2007, Cagliari (Italy).
  • Fuzzy logic - hardly replaceable in medical expert systems,
    Collegium Logicum on Logical Models of Reasoning with Vague Information, 27. 3. 2008, Vienna (Austria).
  • Implication-less fuzzy logics and their application in medicine,
    Workshop Fuzzy Logic and Beyond, 23. 7. 2008, Vienna (Austria).
  • Effect algebras: a successful notion,
    video lecture at the meeting of the International Quantum Structures Association,
    6.-12. 7. 2008, Sopot (Poland).
  • Fuzzy logics for Cadiag-2: achievements and problems,
    (round table contribution:) Fuzzy logic (in the narrow sense) in technical applications
    Conference on Logic, Algebra, and Truth Degrees, 8.-11. 9. 2008, Siena (Italy).
  • The partial-algebra method for the representation of algebras related to fuzzy logics,
    30th Linz Seminar on Fuzzy Set Theory, 3. - 7. 2. 2009, Linz (Austria).
  • Fuzzy logic as a formal framework for CADIAG-2 (poster),
    Conference eHealth 2009 and eHealth Benchmarking 2009, 8. - 9. 5. 2009, Vienna (Austria).
  • A logic handling both uncertainty and vagueness,
    Moscow-Vienna Workshop on Logic and Computation, 29. - 30. 6. 2009, Vienna (Austria).
  • T-norm-based fuzzy logic and logics for reasoning under vagueness,
    Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT) and the International Fuzzy Systems Association (IFSA), 20. - 24. 7. 2009, Lisbon (Portugal).
  • (with A. Ciabattoni and K.-P. Adlassnig) A formal logical framework for CADIAG-2,
    Conference of the European Federation for Medical Informatics (MIE), 30. 8. - 2. 9. 2009, Sarajevo (Bosnia and Hercegovina).
  • On vagueness and granularity,
    Conference on Logical Models of Reasoning with Vague Information (LoMoReVI), 14. - 17. 9. 2009, Čejkovice (Czech Republic).
  • Possibilistic Logic for graded properties,
    31st Linz Seminar on Fuzzy Set Theory, 9. - 13. 2. 2010, Linz (Austria).
  • Invited lecture: Notes on the foundations of fuzzy logic,
    ManyVal '10, 3. - 5. 5. 2010, Varese (Italy).
  • (with H. Mandl, K.-P. Adlassnig) Processing gradual information with Fuzzy Arden Syntax,
    13th World Congress on Medical and Health Informatics (MEDINFO), Cape Town (South Africa).
  • Logics for arguing pro and contra,
    32nd Linz Seminar on Fuzzy Set Theory, 1. - 5. 2. 2011, Linz (Austria).
  • The representation problem for residuated l-monoids: the case of t-norm algebras,
    International Conference on Semigroups, General Algebra, and Applications - 82nd Arbeitstagung Allgemeine Algebra,
    24. - 26. 6. 2011, Potsdam (Germany)
  • A logic of the similarity with prototypes
    and its relationship to fuzzy logic,

    Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT),
    18. - 22. 7. 2011, Aix-les-Bains (France)
  • Logics between approximate reasoning and fuzzy logic,
    Workshop on Non-classical logics,
    25. - 26. 11. 2011, Vienna (Austria)
  • Fuzzy logic and the similarity-based interpretation of fuzzy sets,
    Conference for Fuzzy Set Theory and Applications (FSTA), 30. 1. - 3. 2. 2012, Liptovský Ján (Slovakia).

  • On the characterisation of left-continuous t-norms,
    33rd Linz Seminar on Fuzzy Set Theory, 14. - 18. 2. 2012, Linz (Austria).

  • Invited talk: On graded logical approaches to formalising medical decision support,
    20th European Conference on Artificial Intelligence (ECAI), Workshop on Weighted Logics for AI, 28. 8. 2012, Montpellier (France).

  • A logic for approximate reasoning with a comparative connective,
    20th European Conference on Artificial Intelligence (ECAI), Workshop on Weighted Logics for AI, 28. 8. 2012, Montpellier (France).

  • Construction methods for finite commutative tomonoids,
    3rd Conference on Logic, Algebras, and Truth degrees (LATD), 10. - 14. 9. 2012, Kanazawa (Japan).

  • Triangular norms and tomonoid extensions,
    34th Linz Seminar on Fuzzy Set Theory, 26. 2. - 2. 3. 2013, Linz (Austria).

  • Direction cones for the representation of tomonoids,
    4th Novi Sad Algebraic Conference & Semigroups and Applications 2013, 5. - 9. 6. 2013, Novi Sad (Serbia).

  • Tomonoid extensions: the key for the construction of t-norms,
    Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 11. - 13. 9. 2013, Milano (Italy).

  • Algebraic semantics: the structure of chains,
    2nd Prague Symposium on Semilinear Logics, 20. 11. 2013, Prague (Czech Republic).

  • On the axiomatisation of logics for approximate reasoning,
    12th Conference for Fuzzy Set Theory and Applications (FSTA), 26. - 31. 1. 2014, Liptovský Ján (Slovakia).

  • (with M. Petrík) On elementary extensions of finite negative commutative tomonoids,
    87th Arbeitstagung Allgemeine Algebra, 7. - 9. 2. 2014, Linz (Austria)

  • (with M. Petrík) Finite negative commutative tomonoids and the level-set approach,
    35th Linz Seminar on Fuzzy Set Theory, 18. - 22. 2. 2014, Linz (Austria)

  • (with A. Zamansky) An application of distance-based approximate reasoning for diagnostic questionnaires in healthcare,
    4th Conference on Logic, Algebra, and Truth Degrees  (LATD), 16. - 19. 7. 2014, Vienna (Austria)

  • (with A. Zamansky) A logic-based framework for medical assessment questionnaires,
    Workshop on Knowledge-Representation for Health Care (KR4HC), 21. 7. 2014, Vienna (Austria)

  • (with S. Khourry and A. Zamansky) A fuzzy-logic approach to medical assessment questionnaires,
    Israeli Workshop on Non-Classical Logics and Their Applications (ISRALOG),
    29.9. - 1.10. 2014, Haifa (Israel)

  • (with M. Petrík) Algorithm to generate the Archimedean, finite, negative tomonoids,
    Conference SCIS & ISIS, 3. - 6. 12. 2014, Fukuoka (Japan).

  • The geometry of positive commutative totally ordered monoids,
    90th Arbeitstagung Allgemeine Algebra, 4. - 7.6.2015 (Novi Sad, Serbia).

  • Logic of prototypes and counterexamples: possibilities and limit,
    Conference of the European Society for Fuzzy Set Theory and Applications (EUSFLAT), 30. 6. - 3. 7. 2015 (Gijón, Spain).

  • Work done and work to be done: tomonoids, coextensions, constructions
    Workshop New Perspectives on Residuated Posets, 28. - 30. 9. 2015 (Brno, Czech Republic).

  • What should a logic of vagueness be useful for?
    Workshop on the future of MFL, 16. 6. 2016 (Prague, Czech Republic).

  • Group coextensions of monoids in an ordered setting,
    92nd Arbeitstagung Allgemeine Algebra, 27. - 29. 5. 2016 (Prague, Czech Republic).

  • (with M. Petrík) Algorithm to generate finite totally ordered monoids,
    16th Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU), 20. - 24. 6. 2016 (Eindhoven, The Netherlands).

  • Invited lecture: The many facets of the representation theory of residuated structures,
    54th Summer School on General Algebra and Ordered Sets (SSAOS), 3. - 9. 9. 2016 (Trojanovice, Czech Republic).

  • Cut-continuous pomonoids,
    94th Arbeitstagung Allgemeine Algebra, 15. - 18. 6. 2017 (Novi Sad, Serbia).

  • Some notes around the topic of an algebraic reconstruction of Hilbert space,
    Meeting of the International Quantum Structures Association (IQSA), 4. - 7. 7. 2017 (Nijmegen, Netherlands)

  • (with J. Paseka and D. Kruml) On the coextension of cut-continuous pomonoids,
    Israeli Workshop on Non-classical Logics, 15. - 17. 10. 2017 (Haifa, Israel)

  • Finite negative tomoniods and their free one-element coextension,
    Workshop New perspectives on residuated posets, 1. - 3. 11. 2017 (Vidly, Czech Republic)

  • Some notes on the lattice of closed subspaces of a complex Hilbert space,
    95th Arbeitstagung Allgemeine Algebra, 9. 11. 2. 2018 (Bratislava, Slovakia)

  • Invited lecture: Ortholattices and their automorphisms,
    Workshop on Combining viewpoints in quantum theory, 19. - 22. 3. 2018 (Edinburgh, UK).

  • On orthogonality spaces of finite rank,
    18th Meeting of the International Quantum Structures Association (IQSA), 16. - 20. 7. 2018 (Kazan, Russia).

  • (with M. Petrík) A framework for the generation of discrete pseudo-t-norms,
    38th Linz Seminar on Fuzzy Set Theory, 5. - 8. 2. 2019 (Linz, Austria).

  • Quotients in projective geometry,
    97th Arbeitstagung Allgemeine Algebra, 1. - 3. 3. 2019 (Vienna, Austria).

  • Invited lecture: Ways of abstraction: achievements and challenges around the characterisation of Hilbert space,
    57th Summer School on General Algebra and Ordered Sets (SSAOS), 1. - 7. 9. 2019 (Karolinka, Czech Republic).

  • Orthogonality spaces allowing gradual transitions,
    Conference of the European Society for Fuzzy Set Theory and Applications (EUSFLAT), 9. - 13. 9. 2019 (Prague, Czech Republic).

  • (with J. Paseka) Hilbert spaces reduced to their orthogonality relation,
    International Conference on Quantum Physics and Logic (QPL), 2. - 6. 6. 2020 (Paris, France / online).

  • Orthogonality spaces - categories, representations, symmetries,
    6. 9. 2021, Workshop on Algebra and Ordered Structures (WSAOS), 6. - 10. 9. 2021 (Karolinka, Czech Republic).

  • Orthogeometries versus linear orthosets,
    1. 4. 2022, Workshop on Ordered Algebras and Logic, 30. 3. - 2. 4. 2022 (Les Diablerets, Switzerland)

  • Linear orthosets and Hermitian spaces,
    30. 6. 2022, 15th Biennial Quantum Structures 2022 Conference (Tropea, Italy).

Seminar Presentations

  • Quantenstrukturen (Quantum structures),
    12. 6. 2001, Working group 1 of the Faculty of Mathematics, Technical University Darmstadt (Prof. Burmeister).
  • States on pseudoeffect algebras,
    10. 4. 2002, Institute of Mathematics, Department of Electrical Engeneering, Czech Technical University Prague (Prof. Pták).
  • Pseudoeffektalgebren - ein Überblick (Pseudoeffect algebras - an overview),
    14. 5. 2002, Institute of Algebra and Computer Mathematics, Technical University Vienna (Prof. Dorninger).
  • Pseudoeffect algebras - classes of particular interest,
    16. 5. 2002, Department of Algebra and Geometry, Masaryk University Brno (Dr. Paseka).
  • What do BL-algebras and effect algebras have in common?,
    26. 11. 2002, Institute of Computer Sciences, Czech Akademy of Sciences Prague (Prof. Hájek).
  • Characterizing the Hilbert space - possible new approaches,
    15. 6. 2003, Department of Mathematical Analysis, Technical University Budapest (Prof. Petz).
  • Partial algebras for fuzzy logics,
    28. 6. 2004, Institute of Computer Sciences, Czech Akademy of Sciences Prague (Prof. Hájek).
  • Fuzzy structures as partial algebras,
    14. 4. 2005, Mathematical Institute, Slovak Akademy of Sciences, Bratislava (Prof. Dvurečenskij).
  • Metrics on universes of propositions determining continuous t-norms,
    4. 5. 2005, Institute of Computer Sciences, Czech Akademy of Sciences Prague (Prof. Hájek).
  • Po-group representations of MTL-algebras - how far can we get?,
    First Joint FLLL/SCCH Master and PhD Seminar of the summer term 2006, 27. 4. 2006, Hagenberg (Prof. Klement).
  • Semantics for fuzzy logics - still a challenge,
    17. 1. 2008, Institut für Computersprachen, Vienna University of Technology, Vienna (Prof. Fermüller).
  • On the interpretation of the conjunction in fuzzy logics,
    19. 9. 2008, Mathematical Institute, Slovak Akademy of Sciences, Bratislava (Prof. Dvurečenskij).
  • Formal approaches to expert systems,
    25. 2. 2009, Institute of Computer Sciences, Czech Akademy of Sciences Prague (Prof. Hájek).
  • On Possibilistic Logic for graded properties,
    24. 11. 2009, Research Group in Non-Classical Logics, University of Barcelona (Prof. Font).
  • Approximate Reasoning,
    15. 2. 2011, Advances in Knowledge-Based Technologies, WS10-2, FLLL/SCCH Hagenberg
  • Recent Advances in Approximate Reasoning,
    15. 6. 2011, Advances in Knowledge-Based Technologies, SS11-2, FLLL/SCCH Hagenberg
  • Totally ordered monoids,
    21. 10. 2013, Mathematical Institute, University of Bern (George Metcalfe).
  • Approaches to negative residuated tomonoids,
    9. 1. 2015, Institute of Discrete Mathematics and Geometry, TU Wien (Gerhard Dorfer).
  • Constructive approaches to residuated structures: ideas and problems,
    24.2.2015, Dept. of Algebra and Geometry, Palacký University in Olomouc (Ivan Chajda).
  • Orthogonality: the essential relation on quantum structures,
    1.10.2019, Dept. of Algebra and Geometry, Palacký University in Olomouc (Ivan Chajda).
  • Orthogonality spaces, Hermitian spaces, and structure-preserving maps between them,
    16.3.2021, ALOPHIS Seminar of the University of Cagliari, online (Antonio Ledda).
  • Orthogonality spaces, ortholattices, and inner-product spaces,
    16.4.2021, Nonclassical Logic Webinar, online (Sara Ugolini).
  • Quantum structures based on the orthogonality relation,
    10.11.2021, Mathematical Institute, University of Bern (Wesley Fussner).