Abbadini, Marco; Jipsen, Peter; Kroupa, Tomáš; Vannucci, Sara A finite axiomatization of positive MV-algebras. (English) Zbl 07556317 Algebra Univers. 83, No. 3, Paper No. 28, 15 p. (2022). MSC: 06D35 PDFBibTeX XMLCite \textit{M. Abbadini} et al., Algebra Univers. 83, No. 3, Paper No. 28, 15 p. (2022; Zbl 07556317) Full Text: DOI arXiv
Kroupa, Tomáš; Marra, Vincenzo The two-sorted algebraic theory of states, and the universal states of MV-algebras. (English) Zbl 1491.06028 J. Pure Appl. Algebra 225, No. 12, Article ID 106771, 21 p. (2021). MSC: 06D35 06F20 PDFBibTeX XMLCite \textit{T. Kroupa} and \textit{V. Marra}, J. Pure Appl. Algebra 225, No. 12, Article ID 106771, 21 p. (2021; Zbl 1491.06028) Full Text: DOI arXiv
Kroupa, Tomáš Ordered group-valued probability, positive operators, and integral representations. (English) Zbl 1473.06014 Algebra Univers. 79, No. 4, Paper No. 86, 26 p. (2018). MSC: 06D35 06F20 47H07 PDFBibTeX XMLCite \textit{T. Kroupa}, Algebra Univers. 79, No. 4, Paper No. 86, 26 p. (2018; Zbl 1473.06014) Full Text: DOI arXiv
Kroupa, Tomáš; Marra, Vincenzo Generalised states: a multi-sorted algebraic approach to probability. (English) Zbl 1397.06012 Soft Comput. 21, No. 1, 57-67 (2017). MSC: 06D35 06F20 PDFBibTeX XMLCite \textit{T. Kroupa} and \textit{V. Marra}, Soft Comput. 21, No. 1, 57--67 (2017; Zbl 1397.06012) Full Text: DOI Link
Flaminio, Tommaso; Kroupa, Tomáš States of MV-algebras. (English) Zbl 1431.06005 Cintula, Petr (ed.) et al., Handbook of mathematical fuzzy logic. Volume 3. London: College Publications. Stud. Log. (Lond.) 58, 1183-1236 (2015). MSC: 06D35 PDFBibTeX XMLCite \textit{T. Flaminio} and \textit{T. Kroupa}, Stud. Log. (Lond.) 58, 1183--1236 (2015; Zbl 1431.06005)
Flaminio, Tommaso; Godo, Lluís; Kroupa, Tomáš Belief functions on MV-algebras of fuzzy sets: an overview. (English) Zbl 1310.03024 Torra, Vicenç (ed.) et al., Non-additive measures. Theory and applications. Proceedings of the 9th international conference on modeling decisions for artificial intelligence, MDAI 2012, Girona, Spain, November 21–23, 2012. Cham: Springer (ISBN 978-3-319-03154-5/hbk; 978-3-319-03155-2/ebook). Studies in Fuzziness and Soft Computing 310, 173-200 (2014). MSC: 03B42 03B52 03B50 06D35 PDFBibTeX XMLCite \textit{T. Flaminio} et al., Stud. Fuzziness Soft Comput. 310, 173--200 (2014; Zbl 1310.03024) Full Text: DOI Link
Cintula, Petr; Kroupa, Tomáš Simple games in Łukasiewicz calculus and their cores. (English) Zbl 1279.91015 Kybernetika 49, No. 3, 404-419 (2013). MSC: 91A12 03B50 06D35 PDFBibTeX XMLCite \textit{P. Cintula} and \textit{T. Kroupa}, Kybernetika 49, No. 3, 404--419 (2013; Zbl 1279.91015) Full Text: Link
Kroupa, Tomáš Extension of belief functions to infinite-valued events. (English) Zbl 1344.68236 Soft Comput. 16, No. 11, 1851-1861 (2012). MSC: 68T37 03B50 06D35 PDFBibTeX XMLCite \textit{T. Kroupa}, Soft Comput. 16, No. 11, 1851--1861 (2012; Zbl 1344.68236) Full Text: DOI
Kroupa, Tomáš States in Łukasiewicz logic correspond to probabilities of rational polyhedra. (English) Zbl 1260.03050 Int. J. Approx. Reasoning 53, No. 4, 435-446 (2012). Reviewer: Brunella Gerla (Varese) MSC: 03B50 06D35 PDFBibTeX XMLCite \textit{T. Kroupa}, Int. J. Approx. Reasoning 53, No. 4, 435--446 (2012; Zbl 1260.03050) Full Text: DOI
Kroupa, Tomáš A generalized Möbius transform of games on MV-algebras and its application to a Cimmino-type algorithm for the core. (English) Zbl 1275.91017 Reich, Simeon (ed.) et al., Optimization theory and related topics. A workshop in memory of Dan Butnariu, Haifa, Israel, January 11–14, 2010. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-0-8218-6908-6/pbk; 978-0-8218-8778-3/ebook). Contemporary Mathematics 568. Israel Mathematical Conference Proceedings, 139-158 (2012). Reviewer: Stefano Aguzzoli (Milano) MSC: 91A12 06D35 91A44 PDFBibTeX XMLCite \textit{T. Kroupa}, Contemp. Math. 568, 139--158 (2012; Zbl 1275.91017) Full Text: DOI Link
Flaminio, Tommaso; Kroupa, Tomáš Characterization of generalized necessity functions in Łukasiewicz logic. (English) Zbl 1279.03044 Li, Shoumei (ed.) et al., Nonlinear mathematics for uncertainty and its applications. Proceedings of the international conference, NL-MUA2011, Beijing, China, September 7–9, 2011. Berlin: Springer (ISBN 978-3-642-22832-2/hbk; 978-3-642-22833-9/ebook). Advances in Intelligent and Soft Computing 100, 619-626 (2011). MSC: 03B50 06D35 68T37 PDFBibTeX XMLCite \textit{T. Flaminio} and \textit{T. Kroupa}, Adv. Intell. Soft Comput. 100, 619--626 (2011; Zbl 1279.03044) Full Text: DOI
Kroupa, Tomáš Core of coalition games on MV-algebras. (English) Zbl 1231.91015 J. Log. Comput. 21, No. 3, 479-492 (2011). MSC: 91A12 06D35 PDFBibTeX XMLCite \textit{T. Kroupa}, J. Log. Comput. 21, No. 3, 479--492 (2011; Zbl 1231.91015) Full Text: DOI
Kroupa, Tomáš Every state on semisimple MV-algebra is integral. (English) Zbl 1107.06007 Fuzzy Sets Syst. 157, No. 20, 2771-2782 (2006). Reviewer: Anatolij Dvurečenskij (Bratislava) MSC: 06D35 28C99 46A55 PDFBibTeX XMLCite \textit{T. Kroupa}, Fuzzy Sets Syst. 157, No. 20, 2771--2782 (2006; Zbl 1107.06007) Full Text: DOI
Kroupa, Tomáš Representation and extension of states on MV-algebras. (English) Zbl 1101.06008 Arch. Math. Logic 45, No. 4, 381-392 (2006). Reviewer: Anatolij Dvurečenskij (Bratislava) MSC: 06D35 28E99 54A40 PDFBibTeX XMLCite \textit{T. Kroupa}, Arch. Math. Logic 45, No. 4, 381--392 (2006; Zbl 1101.06008) Full Text: DOI
Kroupa, Tomás Conditional probability on MV-algebras. (English) Zbl 1061.60004 Fuzzy Sets Syst. 149, No. 2, 369-381 (2005). Reviewer: Roman Frič (Košice) MSC: 60A10 06D35 28E10 PDFBibTeX XMLCite \textit{T. Kroupa}, Fuzzy Sets Syst. 149, No. 2, 369--381 (2005; Zbl 1061.60004) Full Text: DOI
Kroupa, T. Conditional independence in probability theory on MV-algebras. (English) Zbl 1069.06007 Soft Comput. 8, No. 8, 534-538 (2004). Reviewer: Beloslav Riečan (Banská Bystrica) MSC: 06D35 60A05 PDFBibTeX XMLCite \textit{T. Kroupa}, Soft Comput. 8, No. 8, 534--538 (2004; Zbl 1069.06007) Full Text: DOI