Homepage of Peter Sarkoci
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Research
Research area
- Web geometry as a possible route towards a structural theory of triangular norms (currently closing this old issue and moving towards more general differential-geometric aspects of web-geometry).
- Dependence structures in the stochastic sense, copulas, cathegories of polymorphismae, their properties, constructions. Moreover, related Lyapunov-like theorems and ergodic aspects and their applications therein.
- Having fun with stochastic calculus (in a way unrelated to the latter).
- Moving towards combinatorics - algebraic as well as topological methods therein.
Publication list
Submitted Manuscripta
Published
Ľubomíra Horanská, Peter Sarkoci: A Note on the Copulas Invariant with Respect to $(a,b)$-transformation. Fuzzy Sets and Systems 378 (2020) 157-164. (link)
Milan Petrík, Peter Sarkoci: Continuous weakly cancellative triangular subnorms: I. Their web-geometric properties. Fuzzy Sets and Systems 332 (2018) 93-110. (link)
Libor Běhounek, Ulrich Bodenhofer, Petr Cintula, Susane Saminger-Platz, Peter Sarkoci: Graded Dominance and Related Graded Properties of Fuzzy Connectives. Fuzzy Sets and Systems 262 (2015) 78-101. (link)
Karol Mikula, Mariana Remešíková, Peter Sarkoci, Daniel Ševčovič: Manifold Evolution with Tangential Redistribution of Points. SIAM J. Sci. Comput. 36 (2014) A1384-A1414. AMS-MSC: 53C44 65M08 65M50 (link)
Peter Sarkoci: Dominance of Ordinal Sums of the Łukasiewicz and the Product Triangular Norm (2009). Mathematical Inequalities and Applications 17 (2014) 335-347. AMS-MSC: 26D07 39B62 (link)
Gejza Jenča, Peter Sarkoci: Linear Extensions and Order-Preserving Poset Partitions. Journal of Combinatorial Theory A 122 (2014) 28-38. AMS-MSC: 06A07 37F20 (link)
Milan Petrík, Peter Sarkoci: Associativity of Triangular Norms Characterized by the Geometry of Their Level-Sets. Fuzzy Sets and Systems 202 (2012) 100-109. AMS-MSC: 39B52 53A60 03B52 (link)
Radko Mesiar, Peter Sarkoci: Open Problems Posed at the Tenth International Conference on Fuzzy Set Theory and Applications (FSTA 2010, Liptovský Ján, Slovakia). Kybernetika 46 (2010) 585-599. AMS-MSC: 03E72 06F25 60E05 (link)
Mirko Navara, Milan Petrík, Peter Sarkoci: Explicit Formulas for Generators of Triangular Norms. Publicationes Mathematicae Debrecen 77 (2010) 171-191. AMS-MSC: 03E72 20M14 26B05 39B22 54E70
Fabrizio Durante, Rachele Foschi, Peter Sarkoci: Distorted Copulas: Constructions and Tail Dependence. Communications in Statistics - Theory and Methods 39 (2010) 2288-2301. AMS-MSC: 60E05 62H20 (link)
Milan Petrík, Peter Sarkoci: Zero-reconstructible Triangular Norms as Universal Approximators. Neural Network World 20 (2010) 63-67. AMS-MSC: 20M14 39B22 (link)
Fabrizio Durante, Susanne Saminger-Platz, Peter Sarkoci: Rectangular patchwork for bivariate copulas and tail dependence. Communications in Statistics - Theory and Methods 38 (2009) 2515-2527. AMS-MSC: 62H05 60E05 65C05 (link)
Fabrizio Durante, Peter Sarkoci, Carlo Sempi: Shuffles of copulas. Journal of Mathematical Analysis and Applications 352 (2009) 914-921. AMS-MSC: 60E05 28D05 (link)
Milan Petrik, Peter Sarkoci: Convex combinations of continuous nilpotent t-norms. Journal of Mathematical Analysis and Applications 350 (2009) 271-275. AMS-MSC: 20M14 39B52 (53A60 14C21 03B52 03E72) (link)
Fabrizio Durante, Susanne Saminger-Platz, Peter Sarkoci: On representations of 2-increasing binary aggregation functions. Information Sciences 178 (2008) 4534-4541. AMS-MSC: 39B62 26B35 60E05 (link)
Peter Sarkoci: Dominance is not transitive on continuous triangular norms. Aequationes Mathematicae 75 (2008) 201-207. AMS-MSC: 26D07 39B62 (54E70) (link)
Fabrizio Durante, Peter Sarkoci: A note on the convex combinations of triangular norms. Fuzzy Sets and Systems 159 (2008) 77-80. AMS-MSC: 62H05 (60E05) (link)
Fabrizio Durante, Erich Peter Klement, José Juan Quesada-Molina, Peter Sarkoci: Remarks on two product-like constructions for copulas. Kybernetika 43 (2007) 235-244. AMS-MSC: 60E05 (link)
Susanne Saminger, Peter Sarkoci, Bernard De Baets: The dominance relation on the class of continuous t-norms from an ordinal sum point of view. Lecture Notes in Artificial Inteligence 4342 (2006) 319-334. AMS-MSC: 26D07 39B62 (54E70) (link)
Peter Sarkoci: Domination in the families of Frank and Hamacher t-norms. Kybernetika (Prague) 41 (2005) 349-360. AMS-MSC: 26D15 (link)
Peter Sarkoci, Michal Sabo: Information boundedness principle in fuzzy inference process. Kybernetika (Prague) 38 (2002) 327-338. AMS-MSC: 03B52 (68T37) (link)
Other Activities
- Regular participant and co-organizer of two informal colloquia.
Playing with TeX and LaTeX.
- Living in fear of determinism.