Edit Profile (opens in new tab) Vetterlein, Thomas Compute Distance To: Compute Author ID: vetterlein.thomas Published as: Vetterlein, Thomas; Vetterlein, T. Documents Indexed: 61 Publications since 2000 Reviewing Activity: 15 Reviews Co-Authors: 15 Co-Authors with 24 Joint Publications 326 Co-Co-Authors all top 5 Co-Authors 37 single-authored 8 Dvurečenskij, Anatolij 4 Petrík, Milan 3 Paseka, Jan 2 Ciabattoni, Agata 2 Esteva, Francesc 2 Godo, Lluís 2 Navara, Mirko 1 El-Zekey, Moataz Saleh 1 Janda, Jiří 1 Kruml, David 1 Liang, Jiuzhen 1 Picado-Muiño, David 1 Rodríguez, Ricardo Oscar 1 Štěpnička, Martin 1 Zamansky, Anna all top 5 Serials 9 Fuzzy Sets and Systems 5 International Journal of Theoretical Physics 5 Soft Computing 4 Journal of Electrical Engineering 3 Algebra Universalis 3 International Journal of Approximate Reasoning 2 Information Sciences 2 Semigroup Forum 2 Order 2 Journal of Logic and Computation 2 Journal of Multiple-Valued Logic and Soft Computing 1 Communications in Algebra 1 International Journal of General Systems 1 Journal of Mathematical Analysis and Applications 1 Demonstratio Mathematica 1 Journal of Pure and Applied Algebra 1 Mathematica Slovaca 1 Quaestiones Mathematicae 1 Studia Logica 1 Aequationes Mathematicae 1 Archive for Mathematical Logic 1 Mathematical Logic Quarterly (MLQ) 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Journal of the Australian Mathematical Society 1 International Journal of Geometric Methods in Modern Physics all top 5 Fields 44 Mathematical logic and foundations (03-XX) 34 Order, lattices, ordered algebraic structures (06-XX) 18 Quantum theory (81-XX) 9 Computer science (68-XX) 6 Group theory and generalizations (20-XX) 3 General algebraic systems (08-XX) 3 Functional analysis (46-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 46 Publications have been cited 347 times in 182 Documents Cited by ▼ Year ▼ Pseudoeffect algebras. I: Basic properties. Zbl 0994.81008Dvurečenskij, Anatolij; Vetterlein, Thomas 93 2001 Pseudoeffect algebras. II: Group representations. Zbl 0994.81009Dvurečenskij, Anatolij; Vetterlein, Thomas 75 2001 Algebras in the positive cone of po-groups. Zbl 1012.03064Dvurečenskij, Anatolij; Vetterlein, Thomas 25 2002 Regular left-continuous t-norms. Zbl 1172.03039Vetterlein, Thomas 14 2008 Non-commutative algebras and quantum structures. Zbl 1075.81010Dvurečenskij, Anatolij; Vetterlein, Thomas 12 2004 Generalized pseudo-effect algebras. Zbl 1012.03063Dvurečenskij, Anatolij; Vetterlein, Thomas 12 2001 On the (fuzzy) logical content of CADIAG-2. Zbl 1192.68680Vetterlein, Thomas; Ciabattoni, Agata 8 2010 On pseudo-effect algebras which can be covered by pseudo MV-algebras. Zbl 1039.03049Dvurečenskij, Anatolij; Vetterlein, Thomas 8 2003 BL-algebras and effect algebras. Zbl 1094.03059Vetterlein, T. 7 2005 Totally ordered monoids based on triangular norms. Zbl 1329.06007Vetterlein, Thomas 7 2015 Boolean algebras with an automorphism group: a framework for Łukasiewicz logic. Zbl 1236.03018Vetterlein, Thomas 6 2008 Logics for approximate and strong entailments. Zbl 1251.03034Esteva, Francesc; Godo, Lluís; Rodríguez, Ricardo O.; Vetterlein, Thomas 6 2012 Orthogonality spaces of finite rank and the complex Hilbert spaces. Zbl 1421.81010Vetterlein, Thomas 5 2019 BL-algebras and quantum structures. Zbl 1065.03049Vetterlein, Thomas 5 2004 Infinitary lattice and Riesz properties of pseudoeffect algebras and po-groups. Zbl 1044.06008Dvurečenskij, Anatolij; Vetterlein, Thomas 5 2003 Defuzzification using Steiner points. Zbl 1104.03057Vetterlein, Thomas; Navara, Mirko 4 2006 The construction of left-continuous t-norms: a geometric approach in two dimensions. Zbl 1334.03029Vetterlein, Thomas 4 2014 Rees coextensions of finite, negative tomonoids. Zbl 1444.06008Petrík, Milan; Vetterlein, Thomas 4 2017 MTL-algebras arising from partially ordered groups. Zbl 1194.03056Vetterlein, Thomas 3 2010 Reasoning with graded information: the case of diagnostic rating scales in healthcare. Zbl 1374.68572Vetterlein, Thomas; Zamansky, Anna 3 2016 Archimedeanness and the MacNeille completion of pseudoeffect algebras and po-groups. Zbl 1092.03034Dvurečenskij, Anatolij; Vetterlein, Thomas 3 2003 Weak effect algebras. Zbl 1143.03034Vetterlein, Thomas 3 2008 Analytic calculi for logics of ordinal multiples of standard t-norms. Zbl 1139.03018Vetterlein, Thomas 3 2008 Logic of approximate entailment in quasimetric spaces. Zbl 1344.68225Vetterlein, Thomas 3 2015 Pseudo-BCK algebras as partial algebras. Zbl 1218.06015Vetterlein, T. 2 2010 Partial algebras for Łukasiewicz logics and its extensions. Zbl 1081.03067Vetterlein, Thomas 2 2005 On positive commutative tomonoids. Zbl 1359.06008Vetterlein, Thomas 2 2016 Formal approaches to rule-based systems in medicine: the case of CADIAG-2. Zbl 1266.68174Ciabattoni, Agata; Muiño, David Picado; Vetterlein, Thomas; El-Zekey, Moataz 2 2013 Vagueness: a mathematician’s perspective. Zbl 1275.03064Vetterlein, Thomas 2 2011 Partial quantum logics revisited. Zbl 1210.81010Vetterlein, Thomas 2 2011 Fuzzy logic as a logic of the expressive strength of information. Zbl 1140.03011Vetterlein, Thomas 2 2008 Real coextensions as a tool for constructing triangular norms. Zbl 1398.03199Vetterlein, Thomas 1 2016 A representation of finite, positive, commutative tomonoids. Zbl 1398.06022Vetterlein, Thomas 1 2017 Algebraic semantics: the structure of residuated chains. Zbl 1431.03080Vetterlein, Thomas 1 2015 On the coextension of cut-continuous pomonoids. Zbl 1476.06008Kruml, David; Paseka, Jan; Vetterlein, Thomas 1 2019 Pseudo-effect algebras. Zbl 0972.03061Vetterlein, Thomas 1 2000 The coextension of commutative pomonoids and its application to triangular norms. Zbl 1473.06020Janda, Jiří; Vetterlein, Thomas 1 2019 Vagueness: where degree-based approaches are useful, and where we can do without. Zbl 1301.03015Vetterlein, Thomas 1 2012 Existence of states on pseudoeffect algebras. Zbl 1044.81011Vetterlein, Thomas 1 2003 A logic of the similarity with prototypes and its relationship to fuzzy logic. Zbl 1254.03063Vetterlein, Thomas 1 2011 Orthogonality spaces arising from infinite-dimensional complex Hilbert spaces. Zbl 07420790Vetterlein, Thomas 1 2021 Gradual transitivity in orthogonality spaces of finite rank. Zbl 07354693Vetterlein, Thomas 1 2021 Residuated lattices arising from equivalence relations on Boolean and Brouwerian algebras. Zbl 1182.03110Vetterlein, Thomas 1 2008 The approximation of left-continuous t-norms. Zbl 1380.03035Vetterlein, Thomas 1 2016 Different representations of fuzzy vectors. Zbl 1245.68217Liang, Jiuzhen; Navara, Mirko; Vetterlein, Thomas 1 2009 Logics for approximate entailment in ordered universes of discourse. Zbl 1352.68252Vetterlein, Thomas; Esteva, Francesc; Godo, Lluís 1 2016 Orthogonality spaces arising from infinite-dimensional complex Hilbert spaces. Zbl 07420790Vetterlein, Thomas 1 2021 Gradual transitivity in orthogonality spaces of finite rank. Zbl 07354693Vetterlein, Thomas 1 2021 Orthogonality spaces of finite rank and the complex Hilbert spaces. Zbl 1421.81010Vetterlein, Thomas 5 2019 On the coextension of cut-continuous pomonoids. Zbl 1476.06008Kruml, David; Paseka, Jan; Vetterlein, Thomas 1 2019 The coextension of commutative pomonoids and its application to triangular norms. Zbl 1473.06020Janda, Jiří; Vetterlein, Thomas 1 2019 Rees coextensions of finite, negative tomonoids. Zbl 1444.06008Petrík, Milan; Vetterlein, Thomas 4 2017 A representation of finite, positive, commutative tomonoids. Zbl 1398.06022Vetterlein, Thomas 1 2017 Reasoning with graded information: the case of diagnostic rating scales in healthcare. Zbl 1374.68572Vetterlein, Thomas; Zamansky, Anna 3 2016 On positive commutative tomonoids. Zbl 1359.06008Vetterlein, Thomas 2 2016 Real coextensions as a tool for constructing triangular norms. Zbl 1398.03199Vetterlein, Thomas 1 2016 The approximation of left-continuous t-norms. Zbl 1380.03035Vetterlein, Thomas 1 2016 Logics for approximate entailment in ordered universes of discourse. Zbl 1352.68252Vetterlein, Thomas; Esteva, Francesc; Godo, Lluís 1 2016 Totally ordered monoids based on triangular norms. Zbl 1329.06007Vetterlein, Thomas 7 2015 Logic of approximate entailment in quasimetric spaces. Zbl 1344.68225Vetterlein, Thomas 3 2015 Algebraic semantics: the structure of residuated chains. Zbl 1431.03080Vetterlein, Thomas 1 2015 The construction of left-continuous t-norms: a geometric approach in two dimensions. Zbl 1334.03029Vetterlein, Thomas 4 2014 Formal approaches to rule-based systems in medicine: the case of CADIAG-2. Zbl 1266.68174Ciabattoni, Agata; Muiño, David Picado; Vetterlein, Thomas; El-Zekey, Moataz 2 2013 Logics for approximate and strong entailments. Zbl 1251.03034Esteva, Francesc; Godo, Lluís; Rodríguez, Ricardo O.; Vetterlein, Thomas 6 2012 Vagueness: where degree-based approaches are useful, and where we can do without. Zbl 1301.03015Vetterlein, Thomas 1 2012 Vagueness: a mathematician’s perspective. Zbl 1275.03064Vetterlein, Thomas 2 2011 Partial quantum logics revisited. Zbl 1210.81010Vetterlein, Thomas 2 2011 A logic of the similarity with prototypes and its relationship to fuzzy logic. Zbl 1254.03063Vetterlein, Thomas 1 2011 On the (fuzzy) logical content of CADIAG-2. Zbl 1192.68680Vetterlein, Thomas; Ciabattoni, Agata 8 2010 MTL-algebras arising from partially ordered groups. Zbl 1194.03056Vetterlein, Thomas 3 2010 Pseudo-BCK algebras as partial algebras. Zbl 1218.06015Vetterlein, T. 2 2010 Different representations of fuzzy vectors. Zbl 1245.68217Liang, Jiuzhen; Navara, Mirko; Vetterlein, Thomas 1 2009 Regular left-continuous t-norms. Zbl 1172.03039Vetterlein, Thomas 14 2008 Boolean algebras with an automorphism group: a framework for Łukasiewicz logic. Zbl 1236.03018Vetterlein, Thomas 6 2008 Weak effect algebras. Zbl 1143.03034Vetterlein, Thomas 3 2008 Analytic calculi for logics of ordinal multiples of standard t-norms. Zbl 1139.03018Vetterlein, Thomas 3 2008 Fuzzy logic as a logic of the expressive strength of information. Zbl 1140.03011Vetterlein, Thomas 2 2008 Residuated lattices arising from equivalence relations on Boolean and Brouwerian algebras. Zbl 1182.03110Vetterlein, Thomas 1 2008 Defuzzification using Steiner points. Zbl 1104.03057Vetterlein, Thomas; Navara, Mirko 4 2006 BL-algebras and effect algebras. Zbl 1094.03059Vetterlein, T. 7 2005 Partial algebras for Łukasiewicz logics and its extensions. Zbl 1081.03067Vetterlein, Thomas 2 2005 Non-commutative algebras and quantum structures. Zbl 1075.81010Dvurečenskij, Anatolij; Vetterlein, Thomas 12 2004 BL-algebras and quantum structures. Zbl 1065.03049Vetterlein, Thomas 5 2004 On pseudo-effect algebras which can be covered by pseudo MV-algebras. Zbl 1039.03049Dvurečenskij, Anatolij; Vetterlein, Thomas 8 2003 Infinitary lattice and Riesz properties of pseudoeffect algebras and po-groups. Zbl 1044.06008Dvurečenskij, Anatolij; Vetterlein, Thomas 5 2003 Archimedeanness and the MacNeille completion of pseudoeffect algebras and po-groups. Zbl 1092.03034Dvurečenskij, Anatolij; Vetterlein, Thomas 3 2003 Existence of states on pseudoeffect algebras. Zbl 1044.81011Vetterlein, Thomas 1 2003 Algebras in the positive cone of po-groups. Zbl 1012.03064Dvurečenskij, Anatolij; Vetterlein, Thomas 25 2002 Pseudoeffect algebras. I: Basic properties. Zbl 0994.81008Dvurečenskij, Anatolij; Vetterlein, Thomas 93 2001 Pseudoeffect algebras. II: Group representations. Zbl 0994.81009Dvurečenskij, Anatolij; Vetterlein, Thomas 75 2001 Generalized pseudo-effect algebras. Zbl 1012.03063Dvurečenskij, Anatolij; Vetterlein, Thomas 12 2001 Pseudo-effect algebras. Zbl 0972.03061Vetterlein, Thomas 1 2000 all cited Publications top 5 cited Publications all top 5 Cited by 155 Authors 41 Dvurečenskij, Anatolij 31 Vetterlein, Thomas 12 Chajda, Ivan 10 Pulmannová, Sylvia 9 Xie, Yongjian 7 Kühr, Jan 7 Vinceková, Elena 6 Foulis, David James 6 Petrík, Milan 6 Rump, Wolfgang 5 Avallone, Anna 5 Godo, Lluís 5 Li, Yongming 5 Paseka, Jan 5 Vitolo, Paolo 4 Länger, Helmut M. 3 Barbieri, Giuseppina Gerarda 3 Ciabattoni, Agata 3 Esteva, Francesc 3 Halaš, Radomír 3 Jakubík, Ján 3 Navara, Mirko 3 Picado-Muiño, David 3 Subrahmanyam, N. V. 3 Yang, Aili 2 Ciungu, Lavinia Corina 2 Di Nola, Antonio 2 Guo, Jiansheng 2 Holland, Wilbur Charles jun. 2 Jenei, Sándor 2 Jun, Young Bae 2 Kolařík, Miroslav 2 Li, Gang 2 Li, Haiyang 2 Li, Qingguo 2 Liu, Huawen 2 Montagna, Franco 2 Noguera, Carles 2 Sarkoci, Peter 2 Ventriglia, Flavia 2 Wang, Juntao 2 Weber, Hans Josef Karl 2 Xin, Xiaolong 2 Zahiri, Omid 2 Zhang, Xia 2 Zhao, Bin 2 Zhou, Xiangnan 1 Adlassnig, Klaus-Peter 1 Agliano, Paolo 1 Aguirre-Cipe, Iván 1 Ahn, Sun Shin 1 Aletti, Giacomo 1 Baldi, Paolo 1 Běhounek, Libor 1 Bongini, Mattia 1 Bongiorno, Enea G. 1 Borumand Saeid, Arsham 1 Borzooei, Rajab Ali 1 Botur, Michal 1 Bou, Félix 1 Buhagiar, David 1 Casals, María Rosa 1 Castiglioni, José Luis 1 Castillo, Oscar 1 Castro, Juan R. 1 Cerami, Marco 1 Chalco-Cano, Yurilev 1 Chetcuti, Emmanuel 1 Cintula, Petr 1 Cornejo, Maria Eugenia 1 Costa, T. M. 1 Czédli, Gábor 1 Daňková, Martina 1 Darabi, R. 1 De Baets, Bernard 1 de la Rosa de Sáa, Sara 1 De Simone, Anna 1 Dietzel, Carsten 1 Dubois, Didier 1 Fan, Xueshuang 1 Fazio, Davide 1 Fermüller, Christian G. 1 Flores-Franulic, A. 1 Fodor, János C. 1 Freiman, Robert 1 Fu, Yulong 1 García-Cerdaña, Àngel 1 Garcia, Pere 1 Gerla, Giangiacomo 1 Gil, María Angeles 1 Giuntini, Roberto 1 Goraghani, Simin Saidi 1 Guo, Ya’nan 1 Han, Shengwei 1 Haniková, Zuzana 1 Hofer, Matthias F. J. 1 Janda, Jiří 1 Jasem, Milan 1 Jenča, Gejza 1 Kim, Hee Sik ...and 55 more Authors all top 5 Cited in 42 Serials 37 Fuzzy Sets and Systems 33 Soft Computing 15 International Journal of Theoretical Physics 12 Mathematica Slovaca 9 Information Sciences 6 Order 5 Journal of the Australian Mathematical Society 5 Foundations of Physics 4 Algebra Universalis 4 Czechoslovak Mathematical Journal 4 Studia Logica 4 International Journal of Approximate Reasoning 3 Annals of Pure and Applied Logic 2 Communications in Algebra 2 International Journal of General Systems 2 Reports on Mathematical Physics 2 Kybernetika 2 Semigroup Forum 2 Archive for Mathematical Logic 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Revista de la Unión Matemática Argentina 1 Ricerche di Matematica 1 Theoretical Computer Science 1 Bulletin of the Section of Logic 1 Forum Mathematicum 1 Aequationes Mathematicae 1 Mathematical Logic Quarterly (MLQ) 1 Journal of Multiple-Valued Logic and Soft Computing 1 Journal of Algebra and its Applications 1 Journal of Applied Logic 1 International Journal of Geometric Methods in Modern Physics 1 Advances in Mathematical Physics 1 Journal of Logical and Algebraic Methods in Programming 1 Open Mathematics all top 5 Cited in 23 Fields 121 Mathematical logic and foundations (03-XX) 117 Order, lattices, ordered algebraic structures (06-XX) 52 Quantum theory (81-XX) 16 Computer science (68-XX) 12 General algebraic systems (08-XX) 12 Measure and integration (28-XX) 9 Group theory and generalizations (20-XX) 9 Functional analysis (46-XX) 5 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year