Edit Profile Aczél, János Dezső Compute Distance To: Compute Author ID: aczel.janos Published as: Aczel, Jean; Aczel, John; Aczél, J.; Aczél, Jean; Aczél, János; Aczél, János D. Homepage: https://uwaterloo.ca/pure-mathematics/about/people/janos-aczel External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate · dblp · GND Documents Indexed: 290 Publications since 1947, including 16 Books Reviewing Activity: 506 Reviews Biographic References: 4 Publications all top 5 Co-Authors 160 single-authored 16 Ng, Che Tat 11 Maksa, Gyula 9 Luce, Robert Duncan 7 Forte, Bruno 7 Hosszú, Miklós 6 Kannappan, Pl. 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 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 Chung, Jukang K. 2 Dhombres, Jean G. 2 Đoković, Dragomir Ž. 2 Falmagne, Jean-Claude 2 Gilányi, Attila 2 Jánossy, Leonic 2 Losonczi, László 2 Nath, Pran 2 Pfanzagl, Johann 2 Pickert, Günter 2 Rényi, Alfréd 2 Roberts, Fred S. 2 Rote, Günter 2 Wagner, Carl G. 1 Beckenbach, Edwin Ford 1 Béda, Gyula 1 Belousov, Valentin Danilovici 1 Berg, Lothar 1 Boros, Zoltán 1 Che Tat Ng 1 Egerváry, Jenö 1 Eichhorn, Wolfgang 1 Erdős, Pál 1 Ertel, Wolfgang 1 Fischer, Patrick Armin 1 Fischer, Paul F. 1 Fladt, Kuno 1 Fuchs, László 1 Gáti, Józef 1 Gehrig, Wilhelm 1 Ger, Roman 1 Ghermanescu, Michel 1 Girgensohn, Roland 1 Haruki, Hiroshi 1 Haruki, Shigeru 1 Heller, Jürgen 1 Horváth, John Michael 1 Járai, Antal jun. 1 Kalmar, Laszlo 1 Kardos, Peter 1 Kárteszi, Ferenc 1 Kiesewetter, Helmut 1 Lundberg, Anders 1 Mikusiński, Jan Stefan 1 Ostrowski, Alexander Markovich 1 Paganoni, Luigi 1 Pfingsten, Andreas 1 Rosenbaum, Zangwill 1 Saaty, Thomas L. 1 Sakovich, G. N. 1 Siwek, Edward 1 Skof, Fulvia 1 Straus, Ernst G. 1 Taylor, Mark P. 1 Török, Sándor 1 Varga, Otto 1 Vincze, Endre 1 Vranceanu, Gheorghe 1 Wagner, Chr.-Ulr. 1 Wagner, Christoph K. J. 1 Wallace, Alexander Doniphan 1 Zubrzycki, Stefan all top 5 Serials 21 Aequationes Mathematicae 15 Acta Mathematica Academiae Scientiarum Hungaricae 14 Publicationes Mathematicae 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 Iaşi, 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 Babeş-Bolyai. Series Mathematica, Mechanica 1 Mathematics in Science and Engineering 1 Monografie Matematyczne 1 Theory and Decision Library. Series B: Mathematical and Statistical Methods 1 Hungarica Acta Mathematica 1 Lucrările Ştienţifice ale Institutului Pedagogie Timişoara. Matematică-Fizică 1 Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften. Mathematische Reihe all top 5 Fields 120 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) 27 Real functions (26-XX) 7 Probability theory and stochastic processes (60-XX) 6 History and biography (01-XX) 6 Group theory and generalizations (20-XX) 6 Geometry (51-XX) 6 Operations research, mathematical programming (90-XX) 5 General and overarching topics; collections (00-XX) 5 Differential geometry (53-XX) 5 Statistics (62-XX) 4 Operator theory (47-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Ordinary differential equations (34-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 Partial differential equations (35-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 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-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 187 Publications have been cited 2,797 times in 2,074 Documents Cited by ▼ Year ▼ Lectures on functional equations and their applications. Zbl 0139.09301Aczél, János 882 1966 Functional equations in several variables with applications to mathematics, information theory and to the natural and social sciences. Zbl 0685.39006Aczél, János; Dhombres, J. 328 1989 On measures of information and their characterizations. Zbl 0345.94022Aczél, János; Daroczy, Z. 156 1975 Procedures for synthesizing ratio judgements. Zbl 0522.92028Aczél, János; Saaty, T. L. 92 1983 Vorlesungen über Funktionalgleichungen und ihre Anwendungen. Zbl 0096.09102Aczél, János 64 1961 On mean values. Zbl 0030.02702Aczél, János 59 1948 A short course on functional equations. Based upon recent applications to the social and behavioral sciences. Zbl 0607.39002Aczél, János 46 1987 Generalized assoziativity and bisymmetry on quasigroups. Zbl 0090.24301Aczél, János; Belousov, V. D.; Hosszú, M. 37 1960 On scientific laws without dimensional constants. Zbl 0605.39004Aczél, János; Roberts, Fred S.; Rosenbaum, Zangwill 36 1986 The general solution of two functional equations by reduction to functions additive in two variables and with the aid of Hamel bases. Zbl 0151.20904Aczél, János 35 1965 Charakterisierung der Entropien positiver Ordnung und der Shannonschen Entropie. Zbl 0138.14904Aczél, János; Daróczy, Z. 34 1963 Sur les opérations définies pour nombres réels. Zbl 0033.11002Aczel, Jean 34 1948 General and regular solutions of functional equations characterizing harmonic polynomials. Zbl 0157.46102Aczél, János; Haruki, H.; McKiernan, M. A.; Sakovich, G. N. 31 1968 Quasigroups, nets, and nomograms. Zbl 0135.03601Aczél, János 31 1965 On applications and theory of functional equations. Zbl 0176.12801Aczél, János 26 1969 On the possible merging functions. Zbl 0675.90005Aczél, János; Roberts, Fred S. 25 1989 Über verallgemeinerte quasilineare Mittelwerte, die mit Gewichtsfunktionen gebildet sind. Zbl 0147.31203Aczél, János; Daroczy, Z. 25 1964 The state of the second part of Hilbert’s fifth problem. Zbl 0676.39004Aczél, János 22 1989 A mean value property of the derivative of quadratic polynomials - without mean values and derivatives. Zbl 0571.39005Aczél, János 21 1985 On the characterization of plane projective and complex Moebius- transformations. Zbl 0152.19204Aczél, János; McKiernan, M. A. 21 1967 Extensions of certain homomorphisms of subsemigroups to homomorphisms of groups. Zbl 0224.20036Aczél, János; Baker, J. A.; Đoković, Dragomir Ž.; Kannappan, Pl.; Radó, F. 19 1971 Remarks on one-parameter subsemigroups of the affine group and their homo-and isomorphisms. Zbl 0205.14802Aczél, János; Gołab, S. 19 1970 Einige allgemeine Methoden in der Theorie der Funktionalgleichungen einer Veränderlichen. Neue Anwendungen der Funktionalgleichungen. Zbl 0070.34903Aczél, János 19 1956 Remarks on the measurement of subjective probability and information. Zbl 0171.40201Aczél, János; Pfanzagl, J. 18 1966 Symmetric second differences in product form on groups. Zbl 0731.39010Aczél, János; Chung, J. K.; Ng, C. T. 17 1989 On weighted synthesis of judgements. Zbl 0543.90003Aczél, János 17 1984 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 1139.39043Aczél, János; Dhombres, J. 16 2008 A mixed theory of information. III.: Inset entropies of degree \(\beta\). Zbl 0393.94011Aczél, János; Kannappan, Pl. 16 1978 A mixed theory of information. I: Symmetric, recursive and measurable entropies of randomized systems of events. Zbl 0382.94012Aczél, János; Daroczy, Z. 16 1978 Why the Shannon and Hartley entropies are ’natural’. Zbl 0277.94011Aczél, János; Forte, B.; Ng, C. T. 16 1974 Determining merged relative scores. Zbl 0709.92026Aczél, János 14 1990 Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements. Zbl 0527.39002Aczél, János; Alsina, C. 12 1984 Some unsolved problems in the theory of functional equations. Zbl 0191.44401Aczél, János 12 1964 On composed Poisson distributions. I. Zbl 0041.24901Janossy, L.; Rényi, Alfréd; Aczél, János 12 1950 Extension of a generalized Pexider equation. Zbl 1075.39024Aczél, János 11 2005 Aggregation theorems for allocation problems. Zbl 0538.05006Aczél, János; Ng, C. T.; Wagner, C. 11 1984 Proof of a theorem on distributive type hyperidentities. Zbl 0219.08008Aczél, János 11 1971 The non-existence of a Hamel-basis and the general solution of Cauchy’s functional equation for nonnegative numbers. Zbl 0151.21001Aczél, János; Erdős, Pál 11 1965 Beiträge zur Theorie der geometrischen Objekte. III-IV, V. Zbl 0078.13902Aczél, János 11 1957 The notion of mean values. Zbl 0030.02601Aczel, John 11 1947 Utility of gambling. II: Risk, paradoxes, and data. Zbl 1137.91010Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János 10 2008 On two mean value properties and functional equations associated with them. Zbl 0688.39006Aczél, János; Kuczma, Marek 10 1989 Sur l’équation de translation. Zbl 0042.34401Aczél, 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 1132.91602Aczél, János; Luce, R. Duncan 9 2007 Solution of the rectangular \(m \times n\) generalized bisymmetry equation and of the problem of consistent aggregation. Zbl 0858.39013Aczél, János; Maksa, Gyula 9 1996 Synthesizing judgements: a functional equations approach. Zbl 0624.90002Aczél, János; Alsina, Claudi 9 1987 Integrable solutions of functional equations of a general type. Zbl 0553.39005Aczél, János; Chung, J. K. 9 1982 Ein Eindeutigkeitssatz in der Theorie der Funktionalgleichungen und einiger ihrer Anwendungen. Zbl 0136.12405Aczél, János 9 1964 Eine Bemerkung über die Charakterisierung der “klassischen” orthogonalen Polynome. Zbl 0051.30401Aczél, János 9 1953 Utility of gambling. I: Entropy modified linear weighted utility. Zbl 1136.91008Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János 8 2008 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 0179.25703Aczél, János; Benz, Walter 8 1969 Collineations on three and on four lines of projective planes over fields. Zbl 0149.38903Aczél, János 8 1966 New results on ‘scale’ and ‘size’ arguments justifying invariance properties of empirical indices and laws. Zbl 0874.90054Aczél, János; Moszner, Zenon 7 1994 Some differential equations related to iteration theory. Zbl 0648.35015Aczél, János; Gronau, Detlef 7 1988 A characterization of weighted arithmetic means. Zbl 0498.26010Aczél, János; Wagner, C. 7 1980 A mixed theory of information. V: How to keep the (inset) expert honest. Zbl 0442.94004Aczél, János 7 1980 Further uniqueness theorems for functional equations. Zbl 0171.12703Aczél, János; Hosszu, M. 7 1965 On a generalization of the functional equations of Pexider. Zbl 0123.10805Aczél, János 7 1964 Increasing solutions of the homogeneity equation and of similar equations. Zbl 0806.39009Aczél, János; Gronau, Detlef; Schwaiger, Jens 6 1994 Generalizations of a “folk-theorem” on simple functional equations in a single variable. Zbl 0725.39003Aczél, János; Kuczma, Marek 6 1991 Measuring information beyond communication theory - why some generalized information measures may be useful, others not. Zbl 0547.94004Aczél, János 6 1984 Determination of all semisymmetric recursive information measures of multiplicative type on n positive discrete probability distributions. Zbl 0517.39006Aczél, János; Ng, C. T. 6 1983 A mixed theory of information. VII: Inset information functions of all degrees. Zbl 0442.94006Aczél, János 6 1980 A mixed theory of information. II: Additive inset entropies (of randomized systems of events) with measurable sum property. Zbl 0375.94008Aczél, János 6 1978 On the characterization of Shannon’s entropy by Shannon’s inequality. Zbl 0277.94010Aczél, János; Ostrowski, A. M. 6 1973 Über Zusammenhänge zwischen Differential- und Funktionalgleichungen. Zbl 0175.45603Aczél, János 6 1969 Über eine gemeinsame Verallgemeinerung zweier Funktionalgleichungen von Jensen. Zbl 0119.32801Aczél, János; Vincze, E. 6 1964 On transformations with several parameters and operations in multidimensional spaces. Zbl 0073.10601Aczél, János; Hosszu, M. 6 1956 Lösung der Vektor-Funktionalgleichung der homogenen und inhomogenen \(n\)-dimensionalen einparametrigen “Translation” der erzeugenden Funktion von Kettenreaktionen und des stationären und nichtstationären Bewegungsintegrals. Zbl 0064.37303Aczél, János 6 1955 Local Pexider and Cauchy equations. Zbl 1128.39018Aczél, János; Skof, Fulvia 5 2007 Continuous solutions of the Gołąb-Schinzel equation on the nonnegative reals and on related domains. Zbl 1003.39022Aczél, J.; Schwaiger, J. 5 1999 Consistency of monomial and difference representations of functions arising from empirical phenomena. Zbl 1126.91332Aczél, János; Falmagne, Jean-Claude 5 1999 Solution of a functional equation arising from utility that is both separable and additive. Zbl 0930.39019Aczél, János; Ger, Roman; Járai, Antal 5 1999 Variations on the theme of dimensional analysis. Zbl 0973.00520Aczél, János 5 1996 Solutions of three functional equations arising from different ways of measuring utility. Zbl 0870.90019Aczél, János; Luce, R. Duncan; Maksa, Gyula 5 1996 Sur l’équation de translation multidimensionnelle. (On the multidimensional translation equation). Zbl 0724.39008Aczél, János; Berg, Lothar; Moszner, Zenon 5 1991 On history, applications and theory of functional equations. Zbl 0583.39004Aczél, János 5 1984 Functions partially constant on rings of sets. Zbl 0442.94007Aczél, János 5 1980 Über das harmonische Produkt und eine korrespondierende Funktionalgleichung. (On the harmonic product and its corresponding functional equation). Zbl 0315.39008Aczél, János; Benz, Walter 5 1975 A note on generalizations of transitive systems of transformations. Zbl 0148.01501Aczél, János; Wallace, A. D. 5 1967 Funktionalgleichungen der Theorie der geometrischen Objekte. Zbl 0100.32901Aczél, János; Gołąb, Stanisław 5 1960 Inequalities. Zbl 0047.05303Aczél, Jean 5 1952 Über einparametrige Transformationen. Zbl 0039.33402Aczél, János 5 1950 Über eine Klasse von Funktionalgleichungen. Zbl 0031.11705Aczél, János 5 1948 A generalization of the notion of convex functions. Zbl 0030.02602Aczel, John 5 1947 Invariance of multiattribute utility functions under shift transformations. Zbl 1179.39029Abbas, Ali; Aczél, János; Chudziak, Jacek 4 2009 Utility of extension of functional equations – when possible. Zbl 1096.39023Aczél, János 4 2005 A functional equation arising from simultaneous utility representations. Zbl 1041.39015Aczél, János; Luce, R. Duncan; Marley, A. A. J. 4 2003 Functional characterizations of basic properties of utility representations. Zbl 1032.39013Ng, Che Tat; Luce, R. Duncan; Aczél, János 4 2002 A functional equation arising from ranked additive and separable utility. Zbl 0967.39007Aczél, János; Maksa, Gyula; Ng, Che Tat; Páles, Zsolt 4 2001 Solution of a functional equation arising in an axiomatization of the utility of binary gambles. Zbl 0963.39026Aczél, János; Maksa, Gyula; Páles, Zsolt 4 2001 ‘Cheaper by the dozen’: Twelve functional equations and their applications to the “laws of science” and to measurement in economics. Zbl 0689.90006Aczél, János 4 1988 General two-place information functions. Zbl 0489.94005Aczél, János; Kannappan, Pl. 4 1982 Functions of binomial type, mapping groupoids into rings. Zbl 0335.39007Aczél, János 4 1977 On a triangular functional equation and some applications, in particular to the generalized theory of information. Zbl 0292.39003Aczél, János; Forte, B.; Ng, C. T. 4 1974 On a characterization of Poisson distributions. Zbl 0246.60009Aczél, János 4 1972 Lösungen einer mit dem Doppelverhältnis zusammenhängenden Funktionalgleichung. Zbl 0122.11802Aczél, János; Fladt, Kuno; Hosszu, M. 4 1962 Nomogramme, Gewebe und Quasigruppen. Zbl 0102.25801Aczél, János; Pickert, G.; Rado, F. 4 1960 Einige aus Funktionalgleichungen zweier Veränderlichen ableitbare Differentialgleichungen. Zbl 0039.31802Aczél, János 4 1950 Functional equations in the behavioral sciences. Zbl 0978.39015Aczél, János; Falmagne, Jean-Claude; Luce, R. Duncan 3 2000 Invariance of multiattribute utility functions under shift transformations. Zbl 1179.39029Abbas, Ali; Aczél, János; Chudziak, Jacek 4 2009 Corrigenda to “Invariance of multiattribute utility functions under shift transformations”. Zbl 1185.39017Abbas, Ali; Aczél, János; Chudziak, Jacek 2 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 1139.39043Aczél, János; Dhombres, J. 16 2008 Utility of gambling. II: Risk, paradoxes, and data. Zbl 1137.91010Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János 10 2008 Utility of gambling. I: Entropy modified linear weighted utility. Zbl 1136.91008Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János 8 2008 A behavioral condition for Prelec’s weighting function on the positive line without assuming \(W(1)=1\). Zbl 1132.91602Aczél, János; Luce, R. Duncan 9 2007 Local Pexider and Cauchy equations. Zbl 1128.39018Aczél, János; Skof, Fulvia 5 2007 Extension of a generalized Pexider equation. Zbl 1075.39024Aczél, János 11 2005 Utility of extension of functional equations – when possible. Zbl 1096.39023Aczél, János 4 2005 On a functional equation arising from comparison of utility representations. Zbl 1067.39038Gilányi, Attila; Ng, Che Tat; Aczél, János 1 2005 A functional equation arising from simultaneous utility representations. Zbl 1041.39015Aczél, János; Luce, R. Duncan; Marley, A. A. J. 4 2003 Functional equations arising in a theory of rank dependence and homogeneous joint receipts. Zbl 1048.91029Aczél, János; Luce, R. Duncan; Ng, Che Tat 1 2003 Functional characterizations of basic properties of utility representations. Zbl 1032.39013Ng, Che Tat; Luce, R. Duncan; Aczél, János 4 2002 Two functional equations preserving functional forms. Zbl 1061.39018Aczél, János; Luce, R. Duncan 1 2002 A functional equation arising from ranked additive and separable utility. Zbl 0967.39007Aczél, János; Maksa, Gyula; Ng, Che Tat; Páles, Zsolt 4 2001 Solution of a functional equation arising in an axiomatization of the utility of binary gambles. Zbl 0963.39026Aczél, János; Maksa, Gyula; Páles, Zsolt 4 2001 Functional equations in the behavioral sciences. Zbl 0978.39015Aczél, János; Falmagne, Jean-Claude; Luce, R. Duncan 3 2000 Consistent aggregation of simply scalable families of choice probabilities. Zbl 1006.91030Aczél, János; Gilányi, Attila; Maksa, Gyula; Marley, Anthony A. J. 2 2000 Continuous solutions of the Gołąb-Schinzel equation on the nonnegative reals and on related domains. Zbl 1003.39022Aczél, J.; Schwaiger, J. 5 1999 Consistency of monomial and difference representations of functions arising from empirical phenomena. Zbl 1126.91332Aczél, János; Falmagne, Jean-Claude 5 1999 Solution of a functional equation arising from utility that is both separable and additive. Zbl 0930.39019Aczél, János; Ger, Roman; Járai, Antal 5 1999 Solution to a functional equation arising from different ways of measuring utility. Zbl 1033.39020Aczél, János; Maksa, Gyula; Páles, Zsolt 3 1999 Functional equations in binocular space perception. Zbl 1057.91513Aczél, 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 0936.39009Aczél, János; Maksa, Gyula; Taylor, Mark 3 1997 Consistent aggregation of scale families of selection probabilities. Zbl 0943.91512Aczél, 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 0858.39013Aczél, János; Maksa, Gyula 9 1996 Variations on the theme of dimensional analysis. Zbl 0973.00520Aczél, János 5 1996 Solutions of three functional equations arising from different ways of measuring utility. Zbl 0870.90019Aczél, János; Luce, R. Duncan; Maksa, Gyula 5 1996 New results on ‘scale’ and ‘size’ arguments justifying invariance properties of empirical indices and laws. Zbl 0874.90054Aczél, János; Moszner, Zenon 7 1994 Increasing solutions of the homogeneity equation and of similar equations. Zbl 0806.39009Aczél, János; Gronau, Detlef; Schwaiger, Jens 6 1994 On building indices. Zbl 0810.39005Aczél, János; Alsina, Claudi 1 1994 Constituent-sensitive public fund sharing. Zbl 0848.90052Aczél, János; Pfingsten, Andreas 2 1993 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 0783.26004Aczél, János; Ng, Che Tat 1 1992 Generalizations of a “folk-theorem” on simple functional equations in a single variable. Zbl 0725.39003Aczél, János; Kuczma, Marek 6 1991 Sur l’équation de translation multidimensionnelle. (On the multidimensional translation equation). Zbl 0724.39008Aczél, 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 0751.90030Aczél, János 1 1991 Determining merged relative scores. Zbl 0709.92026Aczél, János 14 1990 Functional equations and l’Hôpital’s rule in an exact Poisson derivation. Zbl 0713.39004Aczél, János 1 1990 Functional equations in several variables with applications to mathematics, information theory and to the natural and social sciences. Zbl 0685.39006Aczél, János; Dhombres, J. 328 1989 On the possible merging functions. Zbl 0675.90005Aczél, János; Roberts, Fred S. 25 1989 The state of the second part of Hilbert’s fifth problem. Zbl 0676.39004Aczél, János 22 1989 Symmetric second differences in product form on groups. Zbl 0731.39010Aczél, János; Chung, J. K.; Ng, C. T. 17 1989 On two mean value properties and functional equations associated with them. Zbl 0688.39006Aczél, János; Kuczma, Marek 10 1989 Some differential equations related to iteration theory. Zbl 0648.35015Aczél, János; Gronau, Detlef 7 1988 ‘Cheaper by the dozen’: Twelve functional equations and their applications to the “laws of science” and to measurement in economics. Zbl 0689.90006Aczél, János 4 1988 The behaviour of means under equal increments of their variables. Zbl 0671.26008Aczél, János; Páles, Zs. 3 1988 A short course on functional equations. Based upon recent applications to the social and behavioral sciences. Zbl 0607.39002Aczél, János 46 1987 Synthesizing judgements: a functional equations approach. Zbl 0624.90002Aczél, János; Alsina, Claudi 9 1987 The behaviour of comprehensive classes of means under equal increments of their variables. Zbl 0638.26014Aczél, János; Losonczi, L.; Páles, Zs. 2 1987 On scientific laws without dimensional constants. Zbl 0605.39004Aczél, János; Roberts, Fred S.; Rosenbaum, Zangwill 36 1986 A mean value property of the derivative of quadratic polynomials - without mean values and derivatives. Zbl 0571.39005Aczél, János 21 1985 Solution of a system of functional-differential equations arising from an optimization problem. Zbl 0591.49005Aczél, János 2 1985 On weighted synthesis of judgements. Zbl 0543.90003Aczél, János 17 1984 Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements. Zbl 0527.39002Aczél, János; Alsina, C. 12 1984 Aggregation theorems for allocation problems. Zbl 0538.05006Aczél, János; Ng, C. T.; Wagner, C. 11 1984 Measuring information beyond communication theory - why some generalized information measures may be useful, others not. Zbl 0547.94004Aczél, János 6 1984 On history, applications and theory of functional equations. Zbl 0583.39004Aczél, János 5 1984 Functional equations: history, applications and theory. Zbl 0567.00009Aczél, János (ed.) 3 1984 Measuring information beyond communication theory. Some probably useful and some almost certainly useless generalizations. Zbl 0554.94006Aczél, János 2 1984 Some recent results on information measures, a new generalization and some ’real life’ interpretations of the ’old’ and new measures. Zbl 0587.94008Aczél, János 1 1984 Measuring information beyond communication theory. Some probably useful and some almost certainly useless generalizations. Zbl 0546.94004Aczél, János 1 1984 Procedures for synthesizing ratio judgements. Zbl 0522.92028Aczél, János; Saaty, T. L. 92 1983 Determination of all semisymmetric recursive information measures of multiplicative type on n positive discrete probability distributions. Zbl 0517.39006Aczél, János; Ng, C. T. 6 1983 Diamonds are not the Cauchy extensionists’ best friend. Zbl 0536.39002Aczél, János 3 1983 Functional equations and inequalities in ’rational group decision making’. Zbl 0519.90009Aczél, János; Kannappan, Pl.; Ng, C. T.; Wagner, C. 3 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 0545.94004Aczél, János 1 1983 Integrable solutions of functional equations of a general type. Zbl 0553.39005Aczél, János; Chung, J. K. 9 1982 General two-place information functions. Zbl 0489.94005Aczél, 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 0515.94012Aczél, János 1 1982 On the Thomsen condition for webs. Zbl 0482.51004Aczél, János 3 1981 Rational group decision making generalized: The case of several unknown functions. Zbl 0456.90008Aczél, János; Wagner, C. 3 1981 Some good and bad characters I have known and where they led. (Harmonic analysis and functional equations). Zbl 0583.43004Aczél, János 2 1981 Partial difference equations analogous to the Cauchy-Riemann equations. Zbl 0487.39004Aczél, János; Haruki, S. 2 1981 Derivations and information functions (a tale of two surprises and a half). Zbl 0536.94003Aczél, János 1 1981 A characterization of weighted arithmetic means. Zbl 0498.26010Aczél, János; Wagner, C. 7 1980 A mixed theory of information. V: How to keep the (inset) expert honest. Zbl 0442.94004Aczél, János 7 1980 A mixed theory of information. VII: Inset information functions of all degrees. Zbl 0442.94006Aczél, János 6 1980 Functions partially constant on rings of sets. Zbl 0442.94007Aczél, János 5 1980 On Hölder’s inequality. Zbl 0442.26010Aczél, János; Beckenbach, E. F. 2 1980 General solution of a system of functional equations satisfied by sums of powers on arithmetic progressions. Zbl 0451.39006Aczél, János 1 1980 General solution of an inequality containing several unknown functions, with applications to the generalized problem of ”How to keep the expert honest”. Zbl 0439.39005Aczél, János; Fischer, P.; Kardos, P. 1 1980 Derivations and functional equations basic to characterizations of information measures. Zbl 0406.39007Aczél, János 3 1979 On some symmetric recursive inset measures of information. Zbl 0409.94007Aczél, János; Kannappan, Pl. 1 1979 A mixed theory of information. III.: Inset entropies of degree \(\beta\). Zbl 0393.94011Aczél, János; Kannappan, Pl. 16 1978 A mixed theory of information. I: Symmetric, recursive and measurable entropies of randomized systems of events. Zbl 0382.94012Aczél, János; Daroczy, Z. 16 1978 A mixed theory of information. II: Additive inset entropies (of randomized systems of events) with measurable sum property. Zbl 0375.94008Aczél, 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 0442.94005Aczél, János 2 1978 Some recent results on characterizations of measures of information related to coding. Zbl 0383.94017Aczél, János 2 1978 Some recent results on characterizations of measures of information. Zbl 0482.94011Aczél, János 1 1978 Functions of binomial type, mapping groupoids into rings. Zbl 0335.39007Aczél, János 4 1977 Results on the entropy equation. Zbl 0348.39007Aczél, János 2 1977 General solution of a system of functional equations satisfied by the sums of powers. Zbl 0348.39006Aczél, János 1 1977 On two characterizations of Poisson distributions. Zbl 0324.60014Aczél, János 1 1976 On measures of information and their characterizations. Zbl 0345.94022Aczél, János; Daroczy, Z. 156 1975 Über das harmonische Produkt und eine korrespondierende Funktionalgleichung. (On the harmonic product and its corresponding functional equation). Zbl 0315.39008Aczél, János; Benz, Walter 5 1975 On a system of functional equations determining price and productivity indices. Zbl 0356.90009Aczél, János 1 1975 Why the Shannon and Hartley entropies are ’natural’. Zbl 0277.94011Aczél, János; Forte, B.; Ng, C. T. 16 1974 On a triangular functional equation and some applications, in particular to the generalized theory of information. Zbl 0292.39003Aczél, János; Forte, B.; Ng, C. T. 4 1974 Determination of all additive quasiaritmetic mean codeword lengths. Zbl 0277.94003Aczél, János 2 1974 On the characterization of Shannon’s entropy by Shannon’s inequality. Zbl 0277.94010Aczél, János; Ostrowski, A. M. 6 1973 ...and 87 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,828 Authors 70 Aczél, János Dezső 32 Mesiar, Radko 30 Luce, Robert Duncan 26 Eshaghi Gordji, Madjid 26 Ng, Che Tat 25 Park, Choonkil 23 Ebanks, Bruce R. 23 Sahoo, Prasanna K. 22 Kannappan, Pl. 22 Páles, Zsolt 21 Pap, Endre 20 Chudziak, Jacek 18 Benz, Walter 18 Marley, Anthony A. J. 17 Alsina, Claudi 17 Brzdęk, Janusz 17 Marichal, Jean-Luc 15 Chung, Jaeyoung 15 Kim, Hark-Mahn 14 Calvo, Tomasa 14 Losonczi, László 14 Maksa, Gyula 14 Matkowski, Janusz 13 Klement, Erich Peter 13 Székelyhidi, László 12 Baker, John A. 12 Daróczy, Zoltán 12 De Baets, Bernard 12 Khodaei, Hamid 12 Liu, Huawen 12 Najati, Abbas 12 Nath, Prem 12 Rassias, John Michael 11 Falmagne, Jean-Claude 11 Fodor, János C. 11 Haruki, Hiroshi 11 Stetkær, Henrik 10 Bustince, Humberto 10 Candeal, Juan Carlos 10 Ger, Roman 10 Induráin, Esteban 10 Jun, Kil-Woung 10 Kabbaj, Samir 10 Sander, Wolfgang 10 Su, Yong 10 Trillas, Enric 9 Bae, Jae-Hyeong 9 Castillo, Enrique F. 9 Haruki, Shigeru 9 Heuvers, Konrad J. 9 Lee, Min-Young 9 Ostaszewski, Adam J. 9 Rassias, Themistocles Michael 9 Rathie, Pushpa Narayan 9 Sablik, Maciej 9 Torrens, Joan 9 Zeglami, Driss 8 Jung, Soon-Mo 8 Mayor, Gaspar 8 Moszner, Zenon 8 Rak, Ewa 8 Recasens, Jordi 8 Riedel, Thomas 8 Roberts, Fred S. 8 Šemrl, Peter 8 Tryhuk, Václav 7 Berrone, Lucio R. 7 Bossert, Walter 7 Drygaś, Paweł 7 Fadli, Brahim 7 Jabłońska, Eliza 7 Kuczma, Marek 7 Kumar, Satish 7 Lundberg, Anders 7 McKiernan, Michel A. 7 Montero, Javier 7 Neuman, František 7 Park, Wongil 7 Štajner-Papuga, Ivana 7 Strambach, Karl 6 Arora, Prem Nath 6 Cho, Yeol Je 6 Chung, Soon-Yeong 6 Drewniak, Józef 6 El-Fassi, Iz-Iddine 6 Färe, Rolf 6 Fechner, Włodzimierz 6 Iverson, Geoffrey J. 6 Laohakosol, Vichian 6 Molnár, Lajos 6 Movsisyan, Yuri Movses 6 Narens, Louis Edward 6 Ruiz-Aguilera, Daniel 6 Saaty, Thomas L. 6 Schwaiger, Jens 6 Sharma, Bhu Dev 6 Sikorska, Justyna 6 Światak, Halina 6 Taylor, Mark Alan 6 Torra, Vicenç ...and 1,728 more Authors all top 5 Cited in 319 Serials 388 Aequationes Mathematicae 147 Fuzzy Sets and Systems 115 Journal of Mathematical Analysis and Applications 91 Journal of Mathematical Psychology 59 Information Sciences 48 Results in Mathematics 45 European Journal of Operational Research 43 Kybernetika 42 Mathematical Social Sciences 28 Acta Mathematica Academiae Scientiarum Hungaricae 28 Journal of Economic Theory 26 Linear Algebra and its Applications 25 Abstract and Applied Analysis 23 Theory and Decision 20 Journal of Mathematical Economics 20 Proceedings of the American Mathematical Society 20 Journal of Inequalities and Applications 19 Advances in Difference Equations 18 Metrika 18 Acta Mathematica Hungarica 17 International Journal of Approximate Reasoning 17 Economics Letters 14 Social Choice and Welfare 14 Economic Theory 13 Applied Mathematics and Computation 13 Czechoslovak Mathematical Journal 13 Semigroup Forum 13 Applied Mathematics Letters 12 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 11 Mathematische Zeitschrift 10 Journal of Mathematical Physics 10 Annals of the Institute of Statistical Mathematics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Journal of Multivariate Analysis 9 International Journal of Intelligent Systems 9 Indagationes Mathematicae. New Series 8 Bulletin of the Australian Mathematical Society 8 Physica A 8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 8 Journal of Geometry 8 Monatshefte für Mathematik 8 Transactions of the American Mathematical Society 8 Statistics & Probability Letters 8 Mathematical and Computer Modelling 7 Archiv der Mathematik 7 Journal of Statistical Planning and Inference 7 Computers & Operations Research 7 Games and Economic Behavior 7 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 6 Computers & Mathematics with Applications 6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 6 Annals of Operations Research 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Acta Mathematica Sinica. English Series 6 Proyecciones 6 Journal of Fixed Point Theory and Applications 6 Journal of Function Spaces 5 International Journal of General Systems 5 Advances in Mathematics 5 Journal of Approximation Theory 5 Journal of Combinatorial Theory. Series A 5 Journal of Computational and Applied Mathematics 5 Mathematische Nachrichten 5 Mathematica Slovaca 5 Synthese 5 Communications in Statistics. Theory and Methods 5 Mathematical Programming. Series A. Series B 5 Journal of Mathematical Sciences (New York) 5 Soft Computing 5 Journal of the Australian Mathematical Society 5 Fixed Point Theory and Applications 5 Journal of Applied Mathematics & Informatics 4 Artificial Intelligence 4 Communications in Algebra 4 Psychometrika 4 Rocky Mountain Journal of Mathematics 4 Demonstratio Mathematica 4 Journal of Algebra 4 Mathematische Annalen 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 4 Journal of Discrete Mathematical Sciences & Cryptography 4 Entropy 4 Foundations of Physics 3 Communications in Mathematical Physics 3 Mathematical Biosciences 3 Periodica Mathematica Hungarica 3 Physics Letters. A 3 Problems of Information Transmission 3 Reports on Mathematical Physics 3 Ukrainian Mathematical Journal 3 Algebra Universalis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Econometrics 3 Journal of Functional Analysis ...and 219 more Serials all top 5 Cited in 61 Fields 827 Difference and functional equations (39-XX) 400 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 224 Information and communication theory, circuits (94-XX) 183 Real functions (26-XX) 173 Mathematical logic and foundations (03-XX) 172 Statistics (62-XX) 103 Functional analysis (46-XX) 100 Operations research, mathematical programming (90-XX) 97 Probability theory and stochastic processes (60-XX) 96 Computer science (68-XX) 95 Group theory and generalizations (20-XX) 67 Operator theory (47-XX) 46 Geometry (51-XX) 45 Order, lattices, ordered algebraic structures (06-XX) 45 Measure and integration (28-XX) 39 Ordinary differential equations (34-XX) 36 General topology (54-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 31 Topological groups, Lie groups (22-XX) 30 Functions of a complex variable (30-XX) 28 Special functions (33-XX) 27 General algebraic systems (08-XX) 23 Combinatorics (05-XX) 23 Statistical mechanics, structure of matter (82-XX) 21 Differential geometry (53-XX) 20 Quantum theory (81-XX) 19 Number theory (11-XX) 18 Partial differential equations (35-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Abstract harmonic analysis (43-XX) 16 Numerical analysis (65-XX) 15 History and biography (01-XX) 14 Commutative algebra (13-XX) 14 Associative rings and algebras (16-XX) 13 Convex and discrete geometry (52-XX) 13 Biology and other natural sciences (92-XX) 12 Systems theory; control (93-XX) 10 General and overarching topics; collections (00-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Mechanics of particles and systems (70-XX) 7 Sequences, series, summability (40-XX) 7 Approximations and expansions (41-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Field theory and polynomials (12-XX) 6 Algebraic geometry (14-XX) 6 Relativity and gravitational theory (83-XX) 5 Nonassociative rings and algebras (17-XX) 4 Integral transforms, operational calculus (44-XX) 4 Integral equations (45-XX) 4 Manifolds and cell complexes (57-XX) 3 Category theory; homological algebra (18-XX) 3 Potential theory (31-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Geophysics (86-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 \(K\)-theory (19-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.