Edit Profile (opens in new tab) Aczél, János Dezső (b. 1924 d. 2020) Co-Author Distance Author ID: aczel.janos Published as: Aczél, János; Aczel, John; Aczél, J.; Aczel, Jean; Aczél, Jean; Aczél, János D. more...less Further Spellings: Ацель Янош Homepage: https://uwaterloo.ca/pure-mathematics/about/people/janos-aczel External Links: MacTutor · MGP · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 288 Publications since 1947, including 14 Books 2 Contributions as Editor · 3 Further Contributions Reviewing Activity: 516 Reviews Biographic References: 5 Publications Co-Authors: 78 Co-Authors with 128 Joint Publications 1,806 Co-Co-Authors all top 5 Co-Authors 160 single-authored 17 Ng, Che Tat 11 Maksa, Gyula 9 Luce, Robert Duncan 7 Forte, Bruno 7 Hosszú, Miklós 6 Kannappan, Palaniappan 5 Daróczy, Zoltán 5 Kuczma, Marek 5 Marley, Anthony A. J. 5 Páles, Zsolt 4 Alsina, Claudi 4 Gronau, Detlef 4 Schwaiger, Jens 3 Aczél, S. 3 Đoković, Dragomir Ž. 3 Fenyö, Istvan S. 3 Gołąb, Stanisław 3 McKiernan, Michel A. 3 Moszner, Zenon 3 Radó, Ferenc 2 Abbas, Ali E. 2 Baker, John A. 2 Benz, Walter 2 Chudziak, Jacek 2 Dhombres, Jean G. 2 Falmagne, Jean-Claude 2 Fischer, Pal 2 Gilányi, Attila 2 Haruki, Hiroshi 2 Losonczi, László 2 Pfanzagl, Johann 2 Pickert, Günter 2 Rényi, Alfréd 2 Roberts, Fred S. 2 Rote, Günter 2 Wagner, Carl G. 1 Adamović, A. 1 Ahsanullah, Mohammad 1 Basu, Asit P. 1 Beckenbach, Edwin Ford 1 Béda, Gyula 1 Belousov, Valentin Danilovici 1 Berg, Lothar 1 Bingham, Michael S. 1 Block, Henry W. 1 Bondesson, Lennart 1 Boros, Zoltán 1 Butzer, Paul Leo 1 Consul, Prem C. 1 Devidé, Vladimir 1 Egerváry, Jenö 1 Eichhorn, Wolfgang 1 Elliott, Joanne 1 Erdélyi, Arthur 1 Erdős, Pál 1 Ertel, Wolfgang 1 Fladt, Kuno 1 Fuchs, László 1 Galambos, Janos 1 Gáti, Józef 1 Gehrig, Wilhelm 1 Ger, Roman 1 Ghermanescu, Michel 1 Girgensohn, Roland 1 Godambe, Ashok V. 1 Gokhale, Dattaprabhakar Vinayak 1 Gordon, F. S. 1 Gordon, P. S. 1 Govindarajulu, Zakkula 1 Gyires, Béla 1 Haruki, Shigeru 1 Heller, Jürgen 1 Helson, Henry 1 Hewitt, Edwin 1 Hille, Einar 1 Hochstadt, Harry 1 Horváth, John Michael 1 Hwang, Jenn Shin 1 Iveković, Z. 1 Janardan, Konanur G. 1 Járai, Antal 1 Kagan, Abram Meerovich 1 Kallman, Robert R. 1 Kalmar, Laszlo 1 Kaminsky, Kenneth S. 1 Kardos, Peter 1 Kárteszi, Ferenc 1 Kemp, Adrienne W. 1 Kemp, C. David 1 Khatri, Chinubhai Ghelabhai 1 Kiesewetter, Helmut 1 Klebanov, Leo B. 1 Kotlarski, Ignacy Icchak 1 Kotz, Samuel 1 Lorch, Edgar Raymond 1 Lundberg, Anders 1 Mardia, Kanti V. 1 Mikusiński, Jan Stefan 1 Mitrinović, Dragoslav S. 1 Mitrinović, Olga ...and 45 more Co-Authors all top 5 Serials 21 Aequationes Mathematicae 16 Publicationes Mathematicae Debrecen 15 Acta Mathematica Academiae Scientiarum Hungaricae 10 Journal of Mathematical Analysis and Applications 7 Journal of Mathematical Psychology 7 Comptes Rendus Mathématiques de l’Académie des Sciences 6 American Mathematical Monthly 6 Matematikai Lapok 6 Results in Mathematics 5 Acta Scientiarum Mathematicarum 5 Mathematical Social Sciences 4 Colloquium Mathematicum 4 Mathematische Nachrichten 4 Proceedings of the American Mathematical Society 4 Utilitas Mathematica 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Det Kongelige Norske Videnskabers Selskabs Forhandlinger 4 Mathematica 3 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 3 Archiv der Mathematik 3 Publications of the Mathematical Institute of the Hungarian Academy of Sciences, Series A 2 Information Processing and Management 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Metrika 2 Mathematics Magazine 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annales Polonici Mathematici 2 Journal of Geometry 2 Portugaliae Mathematica 2 SIAM Journal on Algebraic and Discrete Methods 2 Linear Algebra and its Applications 2 Economic Theory 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 2 Encyclopedia of Mathematics and Its Applications 2 Methods of Operations Research 2 Publications de l’Institut des Mathématiques Appliquées de l’Academie des Sciences de Hongrie 1 Acta Informatica 1 Advances in Applied Probability 1 IEEE Transactions on Information Theory 1 The Mathematical Gazette 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Studia Mathematica 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Zeszyty Naukowe Politechniki Śląskiej. Matematyka-Fizyka 1 Advances in Mathematics 1 Algebra Universalis 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Demonstratio Mathematica 1 Fundamenta Mathematicae 1 Funkcialaj Ekvacioj. Serio Internacia 1 Information and Control 1 Journal of Applied Probability 1 Mathematica Japonica 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse 1 Publikacije Elektrotehnickog Fakulteta. Univerzitat u Beogradu. Serija Matematika i Fizika 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Quarterly of Applied Mathematics 1 RAIRO, Informatique Théorique 1 Real Analysis Exchange 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Studia Scientiarum Mathematicarum Hungarica 1 Mathematical Modelling 1 L’Enseignement Mathématique. 2e Série 1 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 Proceedings of the National Academy of Sciences of the United States of America 1 Wissenschaftliche Zeitschrift der Humboldt-Universität zu Berlin. Mathematisch-Naturwissenschaftliche Reihe 1 Bulletin of the American Mathematical Society. New Series 1 Grazer Mathematische Berichte 1 Journal of the Australian Mathematical Society 1 Rocznik Naukowo-Dydaktyczny. Prace Matematyczne 1 Bollettino della Unione Matematica Italiana. Series III 1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 Bulletin of the American Mathematical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Publications de la Faculté d’Électrotechnique de l’Université à Belgrade. Série Mathématiques et Physique 1 Académie Serbe des Sciences, Publications de l’Institut Mathématique 1 Acta Physica Academiae Scientiarum Hungaricae 1 Buletinul Institutului Politehnic din Iași, New Series 1 Matematichki Vesnik. New Series 1 Mathematisch-Physikalische Semesterberichte, Neue Folge 1 Nieuw Archief voor Wiskunde. Tweede Serie 1 Periodicum Mathematico-Physicum et Astronomicum 1 Studia Universitatis Babeș-Bolyai. Series Mathematica, Mechanica 1 Matematička Biblioteka 1 Mathematics and its Applications (Dordrecht) 1 Mathematics in Science and Engineering 1 Mathematicians of Our Time 1 Monografie Matematyczne 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Theory and Decision Library. Series B: Mathematical and Statistical Methods 1 Hungarica Acta Mathematica 1 Lucrările Știențifice ale Institutului Pedagogie Timișoara. Matematică-Fizică ...and 1 more Serials all top 5 Fields 122 Difference and functional equations (39-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Information and communication theory, circuits (94-XX) 28 Real functions (26-XX) 8 Probability theory and stochastic processes (60-XX) 7 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 6 Geometry (51-XX) 6 Statistics (62-XX) 6 Operations research, mathematical programming (90-XX) 5 Group theory and generalizations (20-XX) 5 Operator theory (47-XX) 5 Differential geometry (53-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 203 Publications have been cited 3,486 times in 2,593 Documents Cited by ▼ Year ▼ Lectures on functional equations and their applications. Zbl 0139.09301 Aczél, János 1,088 1966 Functional equations in several variables with applications to mathematics, information theory and to the natural and social sciences. Zbl 0685.39006 Aczél, János; Dhombres, J. 499 1989 On measures of information and their characterizations. Zbl 0345.94022 Aczél, János; Daroczy, Z. 192 1975 Procedures for synthesizing ratio judgements. Zbl 0522.92028 Aczél, János; Saaty, T. L. 106 1983 On mean values. Zbl 0030.02702 Aczél, János 84 1948 Vorlesungen über Funktionalgleichungen und ihre Anwendungen. Zbl 0096.09102 Aczél, János 77 1961 A short course on functional equations. Based upon recent applications to the social and behavioral sciences. Zbl 0607.39002 Aczél, János 61 1987 The general solution of two functional equations by reduction to functions additive in two variables and with the aid of Hamel bases. Zbl 0151.20904 Aczél, János 50 1965 Generalized assoziativity and bisymmetry on quasigroups. Zbl 0090.24301 Aczél, János; Belousov, V. D.; Hosszú, M. 47 1960 Sur les opérations définies pour nombres réels. Zbl 0033.11002 Aczel, Jean 40 1948 On scientific laws without dimensional constants. Zbl 0605.39004 Aczél, János; Roberts, Fred S.; Rosenbaum, Zangwill 37 1986 Charakterisierung der Entropien positiver Ordnung und der Shannonschen Entropie. Zbl 0138.14904 Aczél, János; Daróczy, Z. 35 1963 Quasigroups, nets, and nomograms. Zbl 0135.03601 Aczél, János 34 1965 Symmetric second differences in product form on groups. Zbl 0731.39010 Aczél, János; Chung, J. K.; Ng, C. T. 31 1989 General and regular solutions of functional equations characterizing harmonic polynomials. Zbl 0157.46102 Aczél, János; Haruki, H.; McKiernan, M. A.; Sakovich, G. N. 31 1968 Über verallgemeinerte quasilineare Mittelwerte, die mit Gewichtsfunktionen gebildet sind. Zbl 0147.31203 Aczél, János; Daroczy, Z. 30 1964 On the possible merging functions. Zbl 0675.90005 Aczél, János; Roberts, Fred S. 28 1989 A mean value property of the derivative of quadratic polynomials - without mean values and derivatives. Zbl 0571.39005 Aczél, János 27 1985 The state of the second part of Hilbert’s fifth problem. Zbl 0676.39004 Aczél, János 26 1989 Einige allgemeine Methoden in der Theorie der Funktionalgleichungen einer Veränderlichen. Neue Anwendungen der Funktionalgleichungen. Zbl 0070.34903 Aczél, János 26 1956 Why the Shannon and Hartley entropies are ’natural’. Zbl 0277.94011 Aczél, János; Forte, B.; Ng, C. T. 25 1974 Functional equations in several variables with applications to mathematics, information theory and to the natural and social sciences. Paperback reprint of the hardback edition 1989. Zbl 1139.39043 Aczél, János; Dhombres, J. 23 2008 Extensions of certain homomorphisms of subsemigroups to homomorphisms of groups. Zbl 0224.20036 Aczél, János; Baker, J. A.; Đoković, Dragomir Ž.; Kannappan, Pl.; Radó, F. 23 1971 On the characterization of plane projective and complex Moebius- transformations. Zbl 0152.19204 Aczél, János; McKiernan, M. A. 22 1967 On applications and theory of functional equations. Zbl 0176.12801 Aczél, János 21 1969 Remarks on one-parameter subsemigroups of the affine group and their homo-and isomorphisms. Zbl 0205.14802 Aczél, János; Gołab, S. 21 1970 Remarks on the measurement of subjective probability and information. Zbl 0171.40201 Aczél, János; Pfanzagl, J. 19 1966 A mixed theory of information. I: Symmetric, recursive and measurable entropies of randomized systems of events. Zbl 0382.94012 Aczél, János; Daroczy, Z. 18 1978 On weighted synthesis of judgements. Zbl 0543.90003 Aczél, János 17 1984 Solution of the rectangular \(m \times n\) generalized bisymmetry equation and of the problem of consistent aggregation. Zbl 0858.39013 Aczél, János; Maksa, Gyula 17 1996 On composed Poisson distributions. I. Zbl 0041.24901 Janossy, L.; Rényi, Alfréd; Aczél, János 17 1950 A mixed theory of information. III: Inset entropies of degree \(\beta\). Zbl 0393.94011 Aczél, János; Kannappan, Pl. 16 1978 The non-existence of a Hamel-basis and the general solution of Cauchy’s functional equation for nonnegative numbers. Zbl 0151.21001 Aczél, János; Erdős, Pál 16 1965 On two mean value properties and functional equations associated with them. Zbl 0688.39006 Aczél, János; Kuczma, Marek 15 1989 Determining merged relative scores. Zbl 0709.92026 Aczél, János 15 1990 Some unsolved problems in the theory of functional equations. Zbl 0191.44401 Aczél, János 15 1964 Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements. Zbl 0527.39002 Aczél, János; Alsina, C. 14 1984 The notion of mean values. Zbl 0030.02601 Aczel, John 14 1947 Extension of a generalized Pexider equation. Zbl 1075.39024 Aczél, János 13 2005 Proof of a theorem on distributive type hyperidentities. Zbl 0219.08008 Aczél, János 12 1971 Utility of gambling. II: Risk, paradoxes, and data. Zbl 1137.91010 Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János 11 2008 Synthesizing judgements: a functional equations approach. Zbl 0624.90002 Aczél, János; Alsina, Claudi 11 1987 Aggregation theorems for allocation problems. Zbl 0538.05006 Aczél, János; Ng, C. T.; Wagner, C. 11 1984 Beiträge zur Theorie der geometrischen Objekte. III-IV, V. Zbl 0078.13902 Aczél, János 11 1957 Integrable solutions of functional equations of a general type. Zbl 0553.39005 Aczél, János; Chung, J. K. 10 1982 A characterization of weighted arithmetic means. Zbl 0498.26010 Aczél, János; Wagner, C. 10 1980 Sur l’équation de translation. Zbl 0042.34401 Aczél, János; Kalmár, L.; G.-Mikusiński, Jan 10 1951 A behavioral condition for Prelec’s weighting function on the positive line without assuming \(W(1)=1\). Zbl 1132.91602 Aczél, János; Luce, R. Duncan 9 2007 Utility of gambling. I: Entropy modified linear weighted utility. Zbl 1136.91008 Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János 9 2008 Some differential equations related to iteration theory. Zbl 0648.35015 Aczél, János; Gronau, Detlef 9 1988 Ein Eindeutigkeitssatz in der Theorie der Funktionalgleichungen und einiger ihrer Anwendungen. Zbl 0136.12405 Aczél, János 9 1964 Eine Bemerkung über die Charakterisierung der “klassischen” orthogonalen Polynome. Zbl 0051.30401 Aczél, János 9 1953 Funktionalgleichungen der Theorie der geometrischen Objekte. Zbl 0100.32901 Aczél, János; Gołąb, Stanisław 8 1960 Über eine gemeinsame Verallgemeinerung zweier Funktionalgleichungen von Jensen. Zbl 0119.32801 Aczél, János; Vincze, E. 8 1964 Kollineationen auf Drei-und Vierecken in der Desarguesschen projektiven Ebene und Äquivalenz der Dreiecksnomogramme und der Dreigewebe von Loops mit der Isotopie-Isomorphie-Eigenschaft. Zbl 0179.25703 Aczél, János; Benz, Walter 8 1969 Collineations on three and on four lines of projective planes over fields. Zbl 0149.38903 Aczél, János 8 1966 A mixed theory of information. V: How to keep the (inset) expert honest. Zbl 0442.94004 Aczél, János 7 1980 Measuring information beyond communication theory - why some generalized information measures may be useful, others not. Zbl 0547.94004 Aczél, János 7 1984 New results on ‘scale’ and ‘size’ arguments justifying invariance properties of empirical indices and laws. Zbl 0874.90054 Aczél, János; Moszner, Zenon 7 1994 Functions of binomial type, mapping groupoids into rings. Zbl 0335.39007 Aczél, János 7 1977 On the characterization of Shannon’s entropy by Shannon’s inequality. Zbl 0277.94010 Aczél, János; Ostrowski, A. M. 7 1973 Further uniqueness theorems for functional equations. Zbl 0171.12703 Aczél, János; Hosszu, M. 7 1965 Über eine Klasse von Funktionalgleichungen. Zbl 0031.11705 Aczél, János 7 1948 On transformations with several parameters and operations in multidimensional spaces. Zbl 0073.10601 Aczél, János; Hosszu, M. 7 1956 On a generalization of the functional equations of Pexider. Zbl 0123.10805 Aczél, János 7 1964 A mixed theory of information. VII: Inset information functions of all degrees. Zbl 0442.94006 Aczél, János 6 1980 Increasing solutions of the homogeneity equation and of similar equations. Zbl 0806.39009 Aczél, János; Gronau, Detlef; Schwaiger, Jens 6 1994 A mixed theory of information. II: Additive inset entropies (of randomized systems of events) with measurable sum property. Zbl 0375.94008 Aczél, János 6 1978 Determination of all semisymmetric recursive information measures of multiplicative type on n positive discrete probability distributions. Zbl 0517.39006 Aczél, János; Ng, C. T. 6 1983 Generalizations of a “folk-theorem” on simple functional equations in a single variable. Zbl 0725.39003 Aczél, János; Kuczma, Marek 6 1991 Über Zusammenhänge zwischen Differential- und Funktionalgleichungen. Zbl 0175.45603 Aczél, János 6 1969 Lösung der Vektor-Funktionalgleichung der homogenen und inhomogenen \(n\)-dimensionalen einparametrigen “Translation” der erzeugenden Funktion von Kettenreaktionen und des stationären und nichtstationären Bewegungsintegrals. Zbl 0064.37303 Aczél, János 6 1955 Functions partially constant on rings of sets. Zbl 0442.94007 Aczél, János 5 1980 Local Pexider and Cauchy equations. Zbl 1128.39018 Aczél, János; Skof, Fulvia 5 2007 Functional equations: history, applications and theory. Zbl 0567.00009 5 1984 On history, applications and theory of functional equations. Zbl 0583.39004 Aczél, János 5 1984 Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002 Hille, Einar 5 1975 Solutions of three functional equations arising from different ways of measuring utility. Zbl 0870.90019 Aczél, János; Luce, R. Duncan; Maksa, Gyula 5 1996 Invariance of multiattribute utility functions under shift transformations. Zbl 1179.39029 Abbas, Ali; Aczél, János; Chudziak, Jacek 5 2009 Continuous solutions of the Gołąb-Schinzel equation on the nonnegative reals and on related domains. Zbl 1003.39022 Aczél, J.; Schwaiger, J. 5 1999 Consistency of monomial and difference representations of functions arising from empirical phenomena. Zbl 1126.91332 Aczél, János; Falmagne, Jean-Claude 5 1999 Solution of a functional equation arising from utility that is both separable and additive. Zbl 0930.39019 Aczél, János; Ger, Roman; Járai, Antal 5 1999 Über einparametrige Transformationen. Zbl 0039.33402 Aczél, János 5 1950 Sur l’équation de translation multidimensionnelle. (On the multidimensional translation equation). Zbl 0724.39008 Aczél, János; Berg, Lothar; Moszner, Zenon 5 1991 Über das harmonische Produkt und eine korrespondierende Funktionalgleichung. (On the harmonic product and its corresponding functional equation). Zbl 0315.39008 Aczél, János; Benz, Walter 5 1975 Nomogramme, Gewebe und Quasigruppen. Zbl 0102.25801 Aczél, János; Pickert, G.; Rado, F. 5 1960 A note on generalizations of transitive systems of transformations. Zbl 0148.01501 Aczél, János; Wallace, A. D. 5 1967 Inequalities. Zbl 0047.05303 Aczél, Jean 5 1952 A generalization of the notion of convex functions. Zbl 0030.02602 Aczel, John 5 1947 Lösungen einer mit dem Doppelverhältnis zusammenhängenden Funktionalgleichung. Zbl 0122.11802 Aczél, János; Fladt, Kuno; Hosszu, M. 5 1962 Utility of extension of functional equations – when possible. Zbl 1096.39023 Aczél, János 4 2005 A functional equation arising from simultaneous utility representations. Zbl 1041.39015 Aczél, János; Luce, R. Duncan; Marley, A. A. J. 4 2003 On Hölder’s inequality. Zbl 0442.26010 Aczél, János; Beckenbach, E. F. 4 1980 Solution of a functional equation arising in an axiomatization of the utility of binary gambles. Zbl 0963.39026 Aczél, János; Maksa, Gyula; Páles, Zsolt 4 2001 Functional characterizations of basic properties of utility representations. Zbl 1032.39013 Ng, Che Tat; Luce, R. Duncan; Aczél, János 4 2002 Einige aus Funktionalgleichungen zweier Veränderlichen ableitbare Differentialgleichungen. Zbl 0039.31802 Aczél, János 4 1950 General two-place information functions. Zbl 0489.94005 Aczél, János; Kannappan, Pl. 4 1982 Diamonds are not the Cauchy extensionists’ best friend. Zbl 0536.39002 Aczél, János 4 1983 Functional equations and inequalities in ’rational group decision making’. Zbl 0519.90009 Aczél, János; Kannappan, Pl.; Ng, C. T.; Wagner, C. 4 1983 Zur gemeinsamen Charakterisierung der Entropien \(\alpha\)-ter Ordnung und der Shannonschen Entropie bei nicht unbedingt vollständigen Verteilungen. (On the joint characterization of the entropies of order n and the Shannon entropy in case of not necessary complete distributions). Zbl 0226.94015 Aczél, János 4 1964 Invariance of multiattribute utility functions under shift transformations. Zbl 1179.39029 Abbas, Ali; Aczél, János; Chudziak, Jacek 5 2009 Corrigenda to “Invariance of multiattribute utility functions under shift transformations”. Zbl 1185.39017 Abbas, Ali; Aczél, János; Chudziak, Jacek 3 2009 Functional equations in several variables with applications to mathematics, information theory and to the natural and social sciences. Paperback reprint of the hardback edition 1989. Zbl 1139.39043 Aczél, János; Dhombres, J. 23 2008 Utility of gambling. II: Risk, paradoxes, and data. Zbl 1137.91010 Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János 11 2008 Utility of gambling. I: Entropy modified linear weighted utility. Zbl 1136.91008 Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János 9 2008 A behavioral condition for Prelec’s weighting function on the positive line without assuming \(W(1)=1\). Zbl 1132.91602 Aczél, János; Luce, R. Duncan 9 2007 Local Pexider and Cauchy equations. Zbl 1128.39018 Aczél, János; Skof, Fulvia 5 2007 Extension of a generalized Pexider equation. Zbl 1075.39024 Aczél, János 13 2005 Utility of extension of functional equations – when possible. Zbl 1096.39023 Aczél, János 4 2005 On a functional equation arising from comparison of utility representations. Zbl 1067.39038 Gilányi, Attila; Ng, Che Tat; Aczél, János 1 2005 A functional equation arising from simultaneous utility representations. Zbl 1041.39015 Aczél, János; Luce, R. Duncan; Marley, A. A. J. 4 2003 Functional characterizations of basic properties of utility representations. Zbl 1032.39013 Ng, Che Tat; Luce, R. Duncan; Aczél, János 4 2002 Two functional equations preserving functional forms. Zbl 1061.39018 Aczél, János; Luce, R. Duncan 1 2002 Solution of a functional equation arising in an axiomatization of the utility of binary gambles. Zbl 0963.39026 Aczél, János; Maksa, Gyula; Páles, Zsolt 4 2001 A functional equation arising from ranked additive and separable utility. Zbl 0967.39007 Aczél, János; Maksa, Gyula; Ng, Che Tat; Páles, Zsolt 3 2001 Consistent aggregation of simply scalable families of choice probabilities. Zbl 1006.91030 Aczél, János; Gilányi, Attila; Maksa, Gyula; Marley, Anthony A. J. 3 2000 Functional equations in the behavioral sciences. Zbl 0978.39015 Aczél, János; Falmagne, Jean-Claude; Luce, R. Duncan 3 2000 Continuous solutions of the Gołąb-Schinzel equation on the nonnegative reals and on related domains. Zbl 1003.39022 Aczél, J.; Schwaiger, J. 5 1999 Consistency of monomial and difference representations of functions arising from empirical phenomena. Zbl 1126.91332 Aczél, János; Falmagne, Jean-Claude 5 1999 Solution of a functional equation arising from utility that is both separable and additive. Zbl 0930.39019 Aczél, János; Ger, Roman; Járai, Antal 5 1999 Solution to a functional equation arising from different ways of measuring utility. Zbl 1033.39020 Aczél, János; Maksa, Gyula; Páles, Zsolt 3 1999 Functional equations in binocular space perception. Zbl 1057.91513 Aczél, János; Boros, Zoltán; Heller, Jürgen; Che Tat Ng 2 1999 Equations of generalized bisymmetry and of consistent aggregation: Weakly surjective solutions which may be discontinuous at places. Zbl 0936.39009 Aczél, János; Maksa, Gyula; Taylor, Mark 3 1997 Consistent aggregation of scale families of selection probabilities. Zbl 0943.91512 Aczél, János; Maksa, Gyula; Marley, A. A. J.; Moszner, Zenon 2 1997 Solution of the rectangular \(m \times n\) generalized bisymmetry equation and of the problem of consistent aggregation. Zbl 0858.39013 Aczél, János; Maksa, Gyula 17 1996 Solutions of three functional equations arising from different ways of measuring utility. Zbl 0870.90019 Aczél, János; Luce, R. Duncan; Maksa, Gyula 5 1996 Webs, iteration groups, and equivalent changes in probabilities. Zbl 0859.39010 Aczél, János; Rote, Günter; Schwaiger, Jens 1 1996 Consistent aggregation and generlaized bisymmetry. Zbl 0889.39018 Aczél, János; Maksa, Gyula 1 1996 New results on ‘scale’ and ‘size’ arguments justifying invariance properties of empirical indices and laws. Zbl 0874.90054 Aczél, János; Moszner, Zenon 7 1994 Increasing solutions of the homogeneity equation and of similar equations. Zbl 0806.39009 Aczél, János; Gronau, Detlef; Schwaiger, Jens 6 1994 On building indices. Zbl 0810.39005 Aczél, János; Alsina, Claudi 1 1994 Constituent-sensitive public fund sharing. Zbl 0848.90052 Aczél, János; Pfingsten, Andreas 2 1993 Solutions of a functional equation, convex of higher order. Zbl 0772.39002 Aczél, János; Kuczma, Marek 1 1992 A lemma on the angles between a fixed line and the lines connecting a fixed point on it with the points of a convex arc. Zbl 0783.26004 Aczél, János; Ng, Che Tat 1 1992 Generalizations of a “folk-theorem” on simple functional equations in a single variable. Zbl 0725.39003 Aczél, János; Kuczma, Marek 6 1991 Sur l’équation de translation multidimensionnelle. (On the multidimensional translation equation). Zbl 0724.39008 Aczél, János; Berg, Lothar; Moszner, Zenon 5 1991 Why, how and how not to apply mathematics to economics and to other social and behavioural sciences. An example: Merging relative scores. Zbl 0751.90030 Aczél, János 1 1991 Determining merged relative scores. Zbl 0709.92026 Aczél, János 15 1990 Functional equations and l’Hôpital’s rule in an exact Poisson derivation. Zbl 0713.39004 Aczél, János 1 1990 Functional equations in several variables with applications to mathematics, information theory and to the natural and social sciences. Zbl 0685.39006 Aczél, János; Dhombres, J. 499 1989 Symmetric second differences in product form on groups. Zbl 0731.39010 Aczél, János; Chung, J. K.; Ng, C. T. 31 1989 On the possible merging functions. Zbl 0675.90005 Aczél, János; Roberts, Fred S. 28 1989 The state of the second part of Hilbert’s fifth problem. Zbl 0676.39004 Aczél, János 26 1989 On two mean value properties and functional equations associated with them. Zbl 0688.39006 Aczél, János; Kuczma, Marek 15 1989 Some differential equations related to iteration theory. Zbl 0648.35015 Aczél, János; Gronau, Detlef 9 1988 The behaviour of means under equal increments of their variables. Zbl 0671.26008 Aczél, János; Páles, Zs. 3 1988 ‘Cheaper by the dozen’: Twelve functional equations and their applications to the “laws of science” and to measurement in economics. Zbl 0689.90006 Aczél, János 3 1988 A short course on functional equations. Based upon recent applications to the social and behavioral sciences. Zbl 0607.39002 Aczél, János 61 1987 Synthesizing judgements: a functional equations approach. Zbl 0624.90002 Aczél, János; Alsina, Claudi 11 1987 Characterizing information measures: approaching the end of an era. Zbl 0642.94015 Aczél, János 2 1987 The behaviour of comprehensive classes of means under equal increments of their variables. Zbl 0638.26014 Aczél, János; Losonczi, L.; Páles, Zs. 2 1987 On scientific laws without dimensional constants. Zbl 0605.39004 Aczél, János; Roberts, Fred S.; Rosenbaum, Zangwill 37 1986 A mean value property of the derivative of quadratic polynomials - without mean values and derivatives. Zbl 0571.39005 Aczél, János 27 1985 Solution of a system of functional-differential equations arising from an optimization problem. Zbl 0591.49005 Aczél, János 2 1985 On weighted synthesis of judgements. Zbl 0543.90003 Aczél, János 17 1984 Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements. Zbl 0527.39002 Aczél, János; Alsina, C. 14 1984 Aggregation theorems for allocation problems. Zbl 0538.05006 Aczél, János; Ng, C. T.; Wagner, C. 11 1984 Measuring information beyond communication theory - why some generalized information measures may be useful, others not. Zbl 0547.94004 Aczél, János 7 1984 Functional equations: history, applications and theory. Zbl 0567.00009 5 1984 On history, applications and theory of functional equations. Zbl 0583.39004 Aczél, János 5 1984 Measuring information beyond communication theory. Some probably useful and some almost certainly useless generalizations. Zbl 0554.94006 Aczél, János 2 1984 Measuring information beyond communication theory. Some probably useful and some almost certainly useless generalizations. Zbl 0546.94004 Aczél, János 1 1984 Some recent results on information measures, a new generalization and some ’real life’ interpretations of the ’old’ and new measures. Zbl 0587.94008 Aczél, János 1 1984 Procedures for synthesizing ratio judgements. Zbl 0522.92028 Aczél, János; Saaty, T. L. 106 1983 Determination of all semisymmetric recursive information measures of multiplicative type on n positive discrete probability distributions. Zbl 0517.39006 Aczél, János; Ng, C. T. 6 1983 Diamonds are not the Cauchy extensionists’ best friend. Zbl 0536.39002 Aczél, János 4 1983 Functional equations and inequalities in ’rational group decision making’. Zbl 0519.90009 Aczél, János; Kannappan, Pl.; Ng, C. T.; Wagner, C. 4 1983 A new theory of generalized information measures, recent results in the ”old” theory and some ”real life” interpretations of old and new information measures. Zbl 0545.94004 Aczél, János 1 1983 Integrable solutions of functional equations of a general type. Zbl 0553.39005 Aczél, János; Chung, J. K. 10 1982 General two-place information functions. Zbl 0489.94005 Aczél, János; Kannappan, Pl. 4 1982 A new theory of generalized information measures, recent results in the ’old’ theory and some ’real life’ interpretations of old and new information measures. Zbl 0515.94012 Aczél, János 2 1982 On the Thomsen condition for webs. Zbl 0482.51004 Aczél, János 3 1981 Rational group decision making generalized: The case of several unknown functions. Zbl 0456.90008 Aczél, János; Wagner, C. 3 1981 Some good and bad characters I have known and where they led. (Harmonic analysis and functional equations). Zbl 0583.43004 Aczél, János 2 1981 Partial difference equations analogous to the Cauchy-Riemann equations. Zbl 0487.39004 Aczél, János; Haruki, Shigeru 2 1981 Derivations and information functions (a tale of two surprises and a half). Zbl 0536.94003 Aczél, János 2 1981 A characterization of weighted arithmetic means. Zbl 0498.26010 Aczél, János; Wagner, C. 10 1980 A mixed theory of information. V: How to keep the (inset) expert honest. Zbl 0442.94004 Aczél, János 7 1980 A mixed theory of information. VII: Inset information functions of all degrees. Zbl 0442.94006 Aczél, János 6 1980 Functions partially constant on rings of sets. Zbl 0442.94007 Aczél, János 5 1980 On Hölder’s inequality. Zbl 0442.26010 Aczél, János; Beckenbach, E. F. 4 1980 General solution of an inequality containing several unknown functions, with applications to the generalized problem of ”How to keep the expert honest”. Zbl 0439.39005 Aczél, János; Fischer, P.; Kardos, P. 1 1980 General solution of a system of functional equations satisfied by sums of powers on arithmetic progressions. Zbl 0451.39006 Aczél, János 1 1980 Derivations and functional equations basic to characterizations of information measures. Zbl 0406.39007 Aczél, János 3 1979 On some symmetric recursive inset measures of information. Zbl 0409.94007 Aczél, János; Kannappan, Pl. 1 1979 A mixed theory of information. I: Symmetric, recursive and measurable entropies of randomized systems of events. Zbl 0382.94012 Aczél, János; Daroczy, Z. 18 1978 A mixed theory of information. III: Inset entropies of degree \(\beta\). Zbl 0393.94011 Aczél, János; Kannappan, Pl. 16 1978 A mixed theory of information. II: Additive inset entropies (of randomized systems of events) with measurable sum property. Zbl 0375.94008 Aczél, János 6 1978 A mixed theory of information. VI: An example at last: a proper discrete analogue of the continuous Shannon measure of information (and its characterization). Zbl 0442.94005 Aczél, János 3 1978 Some recent results on characterizations of measures of information related to coding. Zbl 0383.94017 Aczél, János 2 1978 Some recent results on characterizations of measures of information. Zbl 0482.94011 Aczél, János 1 1978 Functions of binomial type, mapping groupoids into rings. Zbl 0335.39007 Aczél, János 7 1977 Results on the entropy equation. Zbl 0348.39007 Aczél, János 3 1977 General solution of a system of functional equations satisfied by the sums of powers. Zbl 0348.39006 Aczél, János 1 1977 On two characterizations of Poisson distributions. Zbl 0324.60014 Aczél, János 1 1976 On measures of information and their characterizations. Zbl 0345.94022 Aczél, János; Daroczy, Z. 192 1975 Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002 Hille, Einar 5 1975 Über das harmonische Produkt und eine korrespondierende Funktionalgleichung. (On the harmonic product and its corresponding functional equation). Zbl 0315.39008 Aczél, János; Benz, Walter 5 1975 On Shannon’s inequality, optimal coding, and characterizations of Shannon’s and Renyi’s entropies. Zbl 0323.94013 Aczél, János 3 1975 A modern course on statistical distributions in scientific work. Vol. 3: Characterizations and applications. Proceedings of the NATO Advanced Study Institute, held at the University of Calgary, Calgary, Alberta, Canada, July 29-August 10, 1974. Zbl 0308.60003 3 1975 ...and 103 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,232 Authors 70 Aczél, János Dezső 38 Mesiar, Radko 35 Park, Choonkil 33 Ng, Che Tat 31 Ebanks, Bruce R. 29 Luce, Robert Duncan 29 Páles, Zsolt 29 Zeglami, Driss 27 Eshaghi Gordji, Madjid 25 Sahoo, Prasanna K. 24 Chudziak, Jacek 24 Kannappan, Palaniappan 20 Benz, Walter 20 Stetkær, Henrik 19 Brzdęk, Janusz 19 Marley, Anthony A. J. 19 Najati, Abbas 19 Pap, Endre 18 Kabbaj, Samir 18 Marichal, Jean-Luc 18 Matkowski, Janusz 17 Maksa, Gyula 16 Alsina, Claudi 16 Chung, Jaeyoung 16 Székelyhidi, László 15 Baker, John A. 15 El-Fassi, Iz-Iddine 15 Kim, Hark-Mahn 15 Losonczi, László 15 Štajner-Papuga, Ivana 14 Daróczy, Zoltán 14 Elqorachi, Elhoucien 14 Sablik, Maciej 13 Calvo, Tomasa 13 Jočić, Dragan 13 Khodaei, Hamid 13 Klement, Erich Peter 13 Sikorska, Justyna 12 Bae, Jae-Hyeong 12 De Baets, Bernard 12 Fadli, Brahim 12 Kreinovich, Vladik Yakovlevich 12 Liu, Huawen 12 Nath, Prem 12 Rassias, John Michael 12 Su, Yong 11 Aissi, Youssef 11 Candeal, Juan Carlos 11 Falmagne, Jean-Claude 11 Fodor, János C. 11 Ger, Roman 11 Haruki, Hiroshi 11 Ostaszewski, Adam J. 11 Rassias, Themistocles Michael 10 Bustince Sola, Humberto 10 Dombi, Jozsef 10 Induráin, Esteban 10 Jun, Kil-Woung 10 Kumar, Satish 10 Lee, Min-Young 10 Moszner, Zenon 10 Sander, Wolfgang 9 Ayoubi, Mohamed 9 Chahbi, Abdellatif 9 Haruki, Shigeru 9 Heuvers, Konrad J. 9 Jung, Soon-Mo 9 Lee, Jung-Rye 9 Park, Wongil 9 Qin, Feng 9 Rathie, Pushpa Narayan 9 Recasens, Jordi 9 Riedel, Thomas 9 Roberts, Fred S. 9 Torra, Vicenç 9 Trillas, Enric 8 Berrone, Lucio R. 8 Bossert, Walter 8 Castillo, Enrique F. 8 Fechner, Włodzimierz 8 Iverson, Geoffrey J. 8 Laohakosol, Vichian 8 Rak, Ewa 8 Schwaiger, Jens 8 Šemrl, Peter 8 Taylor, Mark Adrian 8 Torrens, Joan 8 Tryhuk, Václav 7 Arora, Prem Nath 7 Basu, Amitabh 7 Bodaghi, Abasalt 7 Drygaś, Paweł 7 Furuichi, Shigeru 7 Novák-Gselmann, Eszter 7 Jabłońska, Eliza 7 Jarczyk, Witold 7 Kuczma, Marek 7 Łukasik, Radosław 7 Lundberg, Anders 7 McKiernan, Michel A. ...and 2,132 more Authors all top 5 Cited in 412 Serials 457 Aequationes Mathematicae 162 Fuzzy Sets and Systems 127 Journal of Mathematical Analysis and Applications 92 Journal of Mathematical Psychology 71 Information Sciences 65 Results in Mathematics 49 European Journal of Operational Research 47 Mathematical Social Sciences 45 Kybernetika 39 Journal of Economic Theory 31 Linear Algebra and its Applications 30 Acta Mathematica Hungarica 28 Acta Mathematica Academiae Scientiarum Hungaricae 28 Theory and Decision 27 International Journal of Approximate Reasoning 27 Journal of Inequalities and Applications 26 Abstract and Applied Analysis 23 Journal of Mathematical Economics 21 Advances in Difference Equations 20 Proceedings of the American Mathematical Society 19 Economics Letters 18 Metrika 17 Economic Theory 16 Semigroup Forum 15 Physica A 15 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 15 Applied Mathematics and Computation 15 Social Choice and Welfare 13 Czechoslovak Mathematical Journal 13 Applied Mathematics Letters 13 Annales Mathematicae Silesianae 12 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 12 Statistics & Probability Letters 12 Annals of Operations Research 11 Mathematische Zeitschrift 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Mathematical Physics 10 Annals of the Institute of Statistical Mathematics 10 Journal of Multivariate Analysis 10 Monatshefte für Mathematik 10 Communications in Statistics. Theory and Methods 10 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 9 Reports on Mathematical Physics 9 Demonstratio Mathematica 9 International Journal of Intelligent Systems 9 Games and Economic Behavior 9 Indagationes Mathematicae. New Series 8 Bulletin of the Australian Mathematical Society 8 Archiv der Mathematik 8 Journal of Geometry 8 Journal of Statistical Planning and Inference 8 Transactions of the American Mathematical Society 8 Mathematical and Computer Modelling 8 Journal of Fixed Point Theory and Applications 8 Journal of Function Spaces 7 Synthese 7 Computers & Operations Research 7 Computational and Applied Mathematics 7 Acta Mathematica Sinica. English Series 7 Iranian Journal of Fuzzy Systems 7 Proyecciones 6 Ukrainian Mathematical Journal 6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 6 Journal of Algebra 6 Journal of Approximation Theory 6 Journal of Computational and Applied Mathematics 6 Mathematica Slovaca 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Mathematical Programming. Series A. Series B 6 Mathematical Inequalities & Applications 6 Journal of Mathematical Inequalities 6 Journal of Applied Mathematics & Informatics 5 Computers & Mathematics with Applications 5 International Journal of General Systems 5 Rocky Mountain Journal of Mathematics 5 Advances in Mathematics 5 Econometrica 5 Journal of Combinatorial Theory. Series A 5 Mathematische Nachrichten 5 Journal of Mathematical Sciences (New York) 5 Soft Computing 5 Communications of the Korean Mathematical Society 5 Journal of the Australian Mathematical Society 5 Fixed Point Theory and Applications 4 Artificial Intelligence 4 Communications in Algebra 4 Linear and Multilinear Algebra 4 Periodica Mathematica Hungarica 4 Physics Letters. A 4 Psychometrika 4 Chaos, Solitons and Fractals 4 Algebra Universalis 4 Journal of Optimization Theory and Applications 4 Mathematische Annalen 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Proceedings of the Japan Academy. Series A 4 Rendiconti del Seminario Matemàtico e Fisico di Milano 4 Statistics 4 Annals of Physics 4 Journal of Difference Equations and Applications ...and 312 more Serials all top 5 Cited in 62 Fields 1,042 Difference and functional equations (39-XX) 485 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 253 Information and communication theory, circuits (94-XX) 238 Real functions (26-XX) 221 Mathematical logic and foundations (03-XX) 211 Statistics (62-XX) 139 Probability theory and stochastic processes (60-XX) 138 Functional analysis (46-XX) 124 Operations research, mathematical programming (90-XX) 118 Computer science (68-XX) 113 Group theory and generalizations (20-XX) 101 Operator theory (47-XX) 58 Measure and integration (28-XX) 53 Order, lattices, ordered algebraic structures (06-XX) 50 Geometry (51-XX) 46 Ordinary differential equations (34-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 39 Topological groups, Lie groups (22-XX) 38 General topology (54-XX) 35 Statistical mechanics, structure of matter (82-XX) 34 Functions of a complex variable (30-XX) 31 Special functions (33-XX) 30 Combinatorics (05-XX) 30 General algebraic systems (08-XX) 29 Differential geometry (53-XX) 29 Quantum theory (81-XX) 26 Dynamical systems and ergodic theory (37-XX) 24 Number theory (11-XX) 24 Abstract harmonic analysis (43-XX) 21 Partial differential equations (35-XX) 20 Associative rings and algebras (16-XX) 19 Numerical analysis (65-XX) 18 History and biography (01-XX) 17 Convex and discrete geometry (52-XX) 15 Commutative algebra (13-XX) 15 Approximations and expansions (41-XX) 15 Biology and other natural sciences (92-XX) 13 Systems theory; control (93-XX) 11 General and overarching topics; collections (00-XX) 10 Field theory and polynomials (12-XX) 10 Relativity and gravitational theory (83-XX) 9 Nonassociative rings and algebras (17-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Mechanics of particles and systems (70-XX) 8 Algebraic geometry (14-XX) 8 Sequences, series, summability (40-XX) 8 Integral transforms, operational calculus (44-XX) 6 Integral equations (45-XX) 5 Manifolds and cell complexes (57-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 4 Potential theory (31-XX) 4 Geophysics (86-XX) 3 Category theory; homological algebra (18-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 \(K\)-theory (19-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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