# zbMATH — the first resource for mathematics

Compute Distance To:
 Author ID: kreinovich.vladik-ya Published as: Kreinovich, Vladik; Kreinovich, V.; Kreinovic, V. Ja.; Kreĭnovich, V. Ya.; Krejnovich, V. Ya.; Kreinovich, V. Ya.; Kreinovich, Vladik Ya.; Kreinovic, Vladislav; Kreinovich, V. Ja.; Kreĭnovich, Vladik Homepage: http://www.cs.utep.edu/vladik External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND
 Documents Indexed: 490 Publications since 1974, including 32 Books Reviewing Activity: 202 Reviews Biographic References: 2 Publications
all top 5

#### Co-Authors

 65 single-authored 92 Kosheleva, Olga M. 52 Nguyen, Hung Trung 31 Longpré, Luc 20 Starks, Scott A. 17 Sriboonchitta, Songsak 14 Ceberio, Martine 14 Ferson, Scott A. 13 Xiang, Gang 9 Mayer, Günter 9 Perfilieva, Irina G. 8 Alefeld, Götz E. 8 Bokati, Laxman 8 Ginzburg, Lev R. 8 Yager, Ronald R. 7 Bernat, Andrew 7 Bouchon-Meunier, Bernadette 7 Lakeyev, Anatoliĭ Valentinovich 7 Trejo, Raúl 6 Beck, Jan B. 6 Huynh, Van-Nam 6 Osegueda, Roberto A. 6 Servin, Christian 6 Urenda, Julio C. 6 Velasco, Aaron A. 6 Wojciechowski, Piotr J. 6 Wu, Berlin 6 Zapata, Francisco 5 Baral, Chitta R. 5 Dumrongpokaphan, Thongchai 5 Ferregut, Carlos 5 Finkelstein, Andrei M. 5 Gates, Ann Q. 5 Holcapek, Michal 5 Sirisaengtaksin, Ongard 4 Cooke, Daniel E. 4 Kearfott, Baker 4 Lorkowski, Joe 4 Pownuk, Andrzej 4 Villaverde, Karen 4 Wolff von Gudenberg, Jürgen 3 Araiza, Roberto 3 Finkel’shteĭn, Andreĭ Mikhaĭlovich 3 Fuentes, Olac 3 Heindl, Gerhard 3 Keller, G. Randy 3 Nava, Jaime 3 Ouncharoen, Rujira 3 Penn, Brian S. 3 Quintana, Chris 3 Rohn, Jiri 3 Tao, Chin-Wang 2 Acosta, Griselda 2 Atanassov, Krassimir Todorov 2 Averill, Matthew G. 2 Batyrshin, Il’dar Zakirzyanovich 2 Beer, Michael A. 2 Benferhat, Salem 2 Berleant, Daniel J. 2 Castillo, Gilbert 2 Chiangpradit, Monchaya 2 Doser, Diane I. 2 Floudas, Christodoulos Achilleus 2 George, Mary J. 2 Goodman, Irwin R. 2 Hajagos, Janos G. 2 Iourinski, Dima 2 Joslyn, Cliff A. 2 Kacprzyk, Janusz 2 Kandathi, Raj 2 Khamsi, Mohamed Amine 2 Koshelev, Misha 2 Künzi, Hans-Peter A. 2 Lerma, Octavio 2 Levray, Amélie 2 Misane, Driss 2 Molchanov, Ilya S. 2 Nayak, Asis 2 Nazarian, Soheil 2 Nesterov, Vyacheslav M. 2 Neumaier, Arnold 2 Nguyen, Thach Ngoc 2 Noskov, Sergey I. 2 Novák, Vilém 2 Ochoa, Omar 2 Patangay, Praveen 2 Phuong, Nguyen Hoang 2 Ramer, Arthur 2 Rump, Siegfried Michael 2 Shahbazova, Shahnaz N. 2 Suriya, Komsan 2 Tabia, Karim 2 Thach, Nguyen Ngoc 2 Tolbert, Dana 2 Torres, Roberto 2 Tuan, Le-Chi 2 Tupelly, Kavitha 2 Vakulenko, August A. 2 Villa, Elsa 2 Walster, G. William 2 Yam, Yeung ...and 180 more Co-Authors
all top 5

#### Serials

 50 Reliable Computing 44 Geombinatorics 40 Matematicheskie Struktury i Modelirovanie 15 Thai Journal of Mathematics 14 International Journal of Intelligent Systems 13 International Journal of Theoretical Physics 12 Fuzzy Sets and Systems 12 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 11 Studies in Computational Intelligence 11 Applied Mathematical Sciences (Ruse) 10 International Journal of Approximate Reasoning 9 Interval Computations 8 International Journal of General Systems 8 Information Sciences 8 Bulletin of the European Association for Theoretical Computer Science EATCS 6 Cybernetics and Systems 5 Notes on Intuitionistic Fuzzy Sets 5 Soft Computing 4 Journal of Computational and Applied Mathematics 4 Numerical Algorithms 4 Vychislitel’nye Tekhnologii 4 Journal of Intelligent and Fuzzy Systems 4 Studies in Fuzziness and Soft Computing 3 Bulletin of the European Association for Theoretical Computer Science (EATCS) 3 Neural, Parallel & Scientific Computations 3 Advances in Fuzzy Systems 3 Axioms 3 Studies in Systems, Decision and Control 2 Information Processing Letters 2 Journal of Applied Mathematics and Mechanics 2 Journal of Soviet Mathematics 2 SIGSAM Bulletin 2 Soviet Mathematics. Doklady 2 Theoretical Computer Science 2 SIAM Journal on Matrix Analysis and Applications 2 Journal of Global Optimization 2 Mathematical Logic Quarterly (MLQ) 2 Theory and Decision Library. Series B: Mathematical and Statistical Methods 2 Applied Optimization 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 2 Applied and Computational Mathematics 2 Symmetry 1 American Mathematical Monthly 1 Artificial Intelligence 1 Communications in Algebra 1 International Journal of Engineering Science 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 1 Algebra Universalis 1 Computing 1 Indagationes Mathematicae 1 Journal of Computer and System Sciences 1 Mathematica Japonica 1 Mathematische Nachrichten 1 Studia Logica 1 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 1 Science of Computer Programming 1 Mathematical Social Sciences 1 Annals of Operations Research 1 Celestial Mechanics 1 Linear Algebra and its Applications 1 Soviet Physics. Doklady 1 Systems Analysis, Modelling Simulation 1 Archives of Control Sciences 1 Zapiski Nauchnykh Seminarov POMI 1 Voprosy Kibernetiki (Moskva) 1 Journal of Mathematical Sciences (New York) 1 Annals of Mathematics and Artificial Intelligence 1 East-West Journal of Mathematics 1 Mathematical Proceedings of the Royal Irish Academy 1 International Journal of Applied Mathematics and Computer Science 1 CEJOR. Central European Journal of Operations Research 1 Journal of Universal Computer Science 1 Progress of Theoretical Physics 1 International Journal of Pure and Applied Mathematics 1 Cubo 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Thailand Statistician 1 De Gruyter Studies in Mathematics 1 International Mathematical Forum 1 Optimization Letters 1 Advances in Soft Computing 1 Eurasian Mathematical Journal 1 Advances in Intelligent Systems and Computing 1 Lecture Notes in Networks and Systems 1 Translations. Series 2. American Mathematical Society
all top 5

#### Fields

 155 Computer science (68-XX) 120 Numerical analysis (65-XX) 85 Statistics (62-XX) 67 Mathematical logic and foundations (03-XX) 45 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 41 General and overarching topics; collections (00-XX) 31 Operations research, mathematical programming (90-XX) 28 Information and communication theory, circuits (94-XX) 26 Systems theory; control (93-XX) 25 Relativity and gravitational theory (83-XX) 22 Probability theory and stochastic processes (60-XX) 17 Quantum theory (81-XX) 14 Differential geometry (53-XX) 13 Geometry (51-XX) 13 Geophysics (86-XX) 12 Biology and other natural sciences (92-XX) 11 General topology (54-XX) 11 Mechanics of particles and systems (70-XX) 10 Astronomy and astrophysics (85-XX) 9 History and biography (01-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Real functions (26-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 Mechanics of deformable solids (74-XX) 5 Approximations and expansions (41-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mathematics education (97-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Convex and discrete geometry (52-XX) 3 Measure and integration (28-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Partial differential equations (35-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

193 Publications have been cited 882 times in 641 Documents Cited by Year
Computational complexity and feasibility of data processing and interval computations. Zbl 0945.68077
Kreinovich, V.; Lakeyev, A.; Rohn, Jiří; Kahl, Patrick
1998
Limit theorems and applications of set-valued and fuzzy set-valued random variables. Zbl 1348.60003
Li, Shoumei; Ogura, Yukio; Kreinovich, Vladik
2002
Applications of interval computations: An introduction. Zbl 0841.65031
1996
Computing exact componentwise bounds on solutions of linear systems with interval data is NP-hard. Zbl 0824.65011
1995
A new class of fuzzy implications. Axioms of fuzzy implication revisited. Zbl 0939.03030
Türkşen, I. Burhan; Kreinovich, Vladik; Yager, Ronald R.
1998
Computational complexity of planning and approximate planning in the presence of incompleteness. Zbl 0948.68088
Baral, C.; Kreinovich, V.; Trejo, R.
2000
Decision making under interval probabilities. Zbl 1041.91500
1999
Exact bounds on finite populations of interval data. Zbl 1076.65013
Ferson, Scott; Ginzburg, Lev; Kreinovich, Vladik; Longpré, Luc; Aviles, Monica
2005
Universal approximation theorem for uninorm-based fuzzy systems modeling. Zbl 1040.93043
2003
Filtering out high frequencies in time series using F-transform. Zbl 1343.62069
Novák, Vilém; Perfilieva, Irina; Holčapek, Michal; Kreinovich, Vladik
2014
Computing statistics under interval and fuzzy uncertainty. Applications to computer science and engineering. Zbl 1238.68009
Nguyen, Hung T.; Kreinovich, Vladik; Wu, Berlin; Xiang, Gang
2012
Fixed point theorems for dissipative mappings in complete probabilistic metric spaces. Zbl 0904.54033
Khamsi, Mohamed A.; Kreinovich, Vladik Ya.
1996
Optimal solution of interval linear systems is intractable (NP-hard). Zbl 0829.65032
Kreinovich, Vladik; Lakeyev, Anatoly V.; Noskov, Sergey I.
1993
Nested intervals and sets: Concepts, relations to fuzzy sets, and applications. Zbl 0841.65148
1996
Interval-valued degrees of belief: applications of interval computations to expert systems and intelligent control. Zbl 1232.68122
Nguyen, Hung T.; Kreinovich, Vladik; Zuo, Qiang
1997
On the shape of the symmetric, persymmetric, and skew-symmetric solution set. Zbl 0873.15003
Alefeld, Götz; Kreinovich, Vladik; Mayer, Günter
1997
Necessary and sufficient conditions for generalized uniform fuzzy partitions. Zbl 1392.26040
Holčapek, Michal; Perfilieva, Irina; Novák, Vilém; Kreinovich, Vladik
2015
Towards combining probabilistic and interval uncertainty in engineering calculations: algorithms for computing statistics under interval uncertainty, and their computational complexity. Zbl 1104.65010
Kreinovich, Vladik; Xiang, Gang; Starks, Scott A.; Longpré, Luc; Ceberio, Martine; Araiza, Roberto; Beck, Jan; Kandathi, Raj; Nayak, Asis; Torres, Roberto; Hajagos, Janos G.
2006
Fuzzy transforms of higher order approximate derivatives: A theorem. Zbl 1253.44005
2011
On the solution sets of particular classes of linear interval systems. Zbl 1019.65023
Alefeld, Götz; Kreinovich, Vladik; Mayer, Günter
2003
On-line algorithms for computing mean and variance of interval data, and their use in intelligent systems. Zbl 05174376
Kreinovich, Vladik; Nguyen, Hung T.; Wu, Berlin
2007
The shape of the solution set for systems of interval linear equations with dependent coefficients. Zbl 0907.15003
Alefeld, Götz; Kreinovich, Vladik; Mayer, Günter
1998
Applications of continuous mathematics to computer science. Zbl 0906.68001
1997
Fuzzy rule based modeling as a universal approximation tool. Zbl 0918.93024
Kreinovich, Vladik; Mouzouris, George C.; Nguyen, Hung T.
1998
Probabilities, intervals, what next? Optimization problems related to extension of interval computations to situations with partial information about probabilities. Zbl 1067.65014
Kreinovich, V.
2004
Is the success of fuzzy logic really paradoxical?: Toward the actual logic behind expert systems. Zbl 0854.68101
Nguyen, Hung T.; Kosheleva, Olga M.; Kreinovich, Vladik
1996
Fuzzy control as a universal control tool. Zbl 0881.93040
Nguyen, Hung T.; Kreinovich, Vladik; Sirisaengtaksin, Ongard
1996
On the functional form of convex underestimators for twice continuously differentiable functions. Zbl 1133.49030
2007
A new reconstruction from the F-transform components. Zbl 1377.44008
Perfilieva, Irina; Holčapek, Michal; Kreinovich, Vladik
2016
Towards optimal techniques for solving global optimization problems: symmetry-based approach. Zbl 1267.90105
2007
Computing best-possible bounds for the distribution of a sum of several variables is NP-hard. Zbl 1103.68120
2006
Towards more realistic (e.g., non-associative) “and” - and “or”-operations in fuzzy logic. Zbl 1074.03011
Kreinovich, V.
2004
Optimal finite characterization of linear problems with inexact data. Zbl 1080.15002
2005
Monte-Carlo-type techniques for processing interval uncertainty, and their potential engineering applications. Zbl 1106.65043
Kreinovich, Vladik; Beck, Jan; Ferregut, Carlos; Sanchez, Araceli; Keller, G. Randy; Averill, Matthew; Starks, Scott A.
2007
On symmetric solution sets. Zbl 1038.65020
Alefeld, G.; Kreinovich, V.; Mayer, G.
2003
Fair division under interval uncertainty. Zbl 1113.68542
2000
Decision making beyond Arrow’s “impossibility theorem,” with the analysis of effects of collusion and mutual attraction. Zbl 1157.91013
Nguyen, Hung T.; Kosheleva, Olga; Kreinovich, Vladik
2009
Bayesian approach for inconsistent information. Zbl 1321.62153
Stein, M.; Beer, M.; Kreinovich, V.
2013
Genetic algorithms: What fitness scaling is optimal? Zbl 0767.68085
Kreinovich, Vladik; Quintana, Chris; Fuentes, Olac
1993
A linear-time algorithm that locates local extrema of a function of one variable from interval measurement results. Zbl 0829.65085
1993
Optimal strategy of switching reasoning methods in fuzzy control. Zbl 0897.93036
1995
On the formulation of optimization under elastic constraints (with control in mind). Zbl 0883.93038
1996
Interval arithmetic, affine arithmetic, Taylor series methods: Why, what next? Zbl 1078.65035
Nedialkov, Nedialko S.; Kreinovich, Vladik; Starks, Scott A.
2004
How to divide a territory? A new simple differential formalism for optimization of set functions. Zbl 0927.49025
1999
A new universal approximation result for fuzzy systems, which reflects CNF-DNF duality. Zbl 1028.68169
2002
Normal forms for fuzzy logic – an application of Kolmogorov’s theorem. Zbl 1232.03018
Kreinovich, Vladik; Nguyen, Hung T.; Sprecher, David A.
1996
Kolmogorov complexity and chaotic phenomena. Zbl 1211.68221
2003
Why intervals? A simple limit theorem that is similar to limit theorems from statistics. Zbl 0831.65053
1995
The shape of the symmetric solution set. Zbl 0841.15002
Alefeld, Götz; Kreinovich, Vladik; Mayer, Günter
1996
Computational complexity of interval algebraic problems: Some are feasible and some are computationally intractable – a survey. Zbl 0849.65023
Kreinovich, Vladik; Lakeyev, Anatoly; Rohn, Jiří
1996
NP-hard classes of linear algebraic systems with uncertainties. Zbl 0884.65032
1997
On lattice extensions of partial orders of rings. Zbl 0885.06009
Wojciechowski, Piotr J.; Kreinovich, V.
1997
Interval versions of statistical techniques with applications to environmental analysis, bioinformatics, and privacy in statistical databases. Zbl 1108.65007
Kreinovich, Vladik; Longpré, Luc; Starks, Scott A.; Xiang, Gang; Beck, Jan; Kandathi, Raj; Nayak, Asis; Ferson, Scott; Hajagos, Janos
2007
Novel approaches to numerical software with result verification. Zbl 1126.65308
Granvilliers, Laurent; Kreinovich, Vladik; Müller, Norbert
2004
An extension of a theorem of A. D. Aleksandrov to a class of partially ordered fields. Zbl 0411.51008
Vroegindewey, P. G.; Kreinovic, V. Ja.; Kosheleva, O. M.
1979
Outlier detection under interval uncertainty: algorithmic solvability and computational complexity. Zbl 1076.65014
Kreinovich, Vladik; Longpré, Luc; Patangay, Praveen; Ferson, Scott; Ginzburg, Lev
2005
Fuzzy systems are universal approximators for a smooth function and its derivatives. Zbl 0957.93050
Kreinovich, Vladik; Nguyen, Hung T.; Yam, Yeung
2000
Fuzzy numbers are the only fuzzy sets that keep invertible operations invertible. Zbl 0920.04006
1997
Methodology of fuzzy control: an introduction. Zbl 1126.93364
1998
Computing population variance and entropy under interval uncertainty: Linear-time algorithms. Zbl 1146.65014
Xiang, Gang; Ceberio, Martine; Kreinovich, Vladik
2007
Computing mean and variance under Dempster-Shafer uncertainty: towards faster algorithms. Zbl 1103.68121
Kreinovich, Vladik; Xiang, Gang; Ferson, Scott
2006
Verified methods for computing Pareto sets: general algorithmic analysis. Zbl 1300.90041
2009
Maximum entropy approach to fuzzy control. Zbl 0823.93038
1994
Which algorithms are feasible and which are not depends on the geometry of space-time. Zbl 0844.68060
1995
Symmetry characterization of Pimenov’s spacetime: A reformulation of causality axioms. Zbl 0846.53071
1996
Interval methods that are guaranteed to underestimate (and the resulting new justification of Kaucher arithmetic). Zbl 0853.65050
Kreinovich, Vladik; Nesterov, Vyacheslav M.; Zheludeva, Nina A.
1996
Approximately measured causality implies the Lorentz group: Alexandrov- Zeeman result made more realistic. Zbl 0812.53065
1994
Unreasonable effectiveness of symmetry in physics. Zbl 0973.00522
1996
Random sets unify, explain, and aid known uncertainty methods in expert systems. Zbl 0898.60027
1997
Beyond convex? global optimization is feasible only for convex objective functions: a theorem. Zbl 1097.90071
2005
Robust methodology for characterizing system response to damage: Approach based on partial order. Zbl 1151.90379
Tanenbaum, Paul J.; de la Mora, Carlos; Wojciechowski, Piotr; Kosheleva, Olga; Kreinovich, Vladik; Starks, Scott A.; Kuzminykh, Alexandr V.
2004
Strict Archimedean $$t$$-norms and $$t$$-conorms as universal approximators. Zbl 0955.68108
Nguyen, Hung T.; Kreinovich, Vladik; Wojciechowski, Piotr
1998
Solving linear interval systems is NP-hard even if we exclude overflow and underflow. Zbl 0920.65012
Heindl, Gerhard; Kreinovich, Vladik; Lakeyev, Anatoly V.
1998
Estimating uncertainties for geophysical tomography. Zbl 0969.65115
Doser, Diane I.; Crain, Kevin D.; Baker, Mark R.; Kreinovich, Vladik; Gerstenberger, Matthew C.
1998
Symmetry between true, false, and uncertain: an explanation. Zbl 1244.03092
2009
Population variance under interval uncertainty: a new algorithm. Zbl 1098.65006
Dantsin, Evgeny; Kreinovich, Vladik; Wolpert, Alexander; Xiang, Gang
2006
A measure of average sensitivity for fuzzy logics. Zbl 1232.03019
Nguyen, Hung T.; Kreinovich, Vladik; Tolbert, Dana
1994
Towards theoretical foundations of soft computing applications. Zbl 1232.68141
1995
Computational complexity of determining which statements about causality hold in different space-time models. Zbl 1158.68015
2008
From computing sets of optima, Pareto sets, and sets of Nash equilibria to general decision-related set computations. Zbl 1219.91038
2010
Efficient algorithms for heavy-tail analysis under interval uncertainty. Zbl 06107386
2012
How to fully represent expert information about imprecise properties in a computer system: random sets, fuzzy sets, and beyond: an overview. Zbl 1291.93243
2014
Likert-type fuzzy uncertainty from a traditional decision making viewpoint: how symmetry helps explain human decision making (including seemingly irrational behavior) (survey). Zbl 1314.91097
Lorkowski, J.; Kreinovich, V.
2014
Orders on intervals over partially ordered sets: extending Allen’s algebra and interval graph results. Zbl 1326.06005
Zapata, Francisco; Kreinovich, Vladik; Joslyn, Cliff; Hogan, Emilie
2013
Econometrics of risk. Zbl 1341.91005
Huynh, Van-Nam (ed.); Kreinovich, Vladik (ed.); Sriboonchitta, Songsak (ed.); Suriya, Komsan (ed.)
2015
Why lattice-valued fuzzy values? A mathematical justification. Zbl 1361.03026
Ouncharoen, Rujira; Kreinovich, Vladik; Nguyen, Hung T.
2015
Greedy algorithms for optimizing multivariate Horner schemes. Zbl 1343.65049
2004
If a polynomial identity guarantees that every partial order on a ring can be extended, then this identity is true only for a zero-ring. Zbl 0835.06021
Kreinovich, V.
1995
APIC ’95. International workshop on applications of interval computations, El Paso, TX, USA, February 23-25, 1995. Extended abstracts. International Journal of Reliable Computing, Supplement.
International Journal of Reliable Computing, Supplement.
Zbl 0816.65001
Kreinovich, V. (ed.)
1995
A geometrical model of brittle fracture under creep. Zbl 0652.73045
Vakulenko, A. A.; Kreĭnovich, V. Ya.
1987
Parallel computers. Estimate errors caused by imprecise data. Zbl 0829.65060
Kreinovich, Vladik; Bernat, Andrew; Villa, Elsa; Mariscal, Yvonne
1991
Parallel algorithms for interval computations: An introduction. Zbl 0835.65067
1994
Information complexity and fuzzy control. Zbl 0843.93038
1994
Approximate linear algebra is intractable. Zbl 0846.65015
Kreinovich, V.; Lakeyev, A. V.; Noskov, S. I.
1996
Applications of interval computations. Proceedings of an international workshop, El Paso, TX, USA, February 23-25, 1995. Zbl 0836.00038
Kearfott, R. Baker (ed.); Kreinovich, Vladik (ed.)
1996
Computing uncertainty in interval based sets. Zbl 0843.68114
Rocha, Luis Mateus; Kreinovich, Vladik; Kearfott, R. Baker
1996
Maximum entropy and interval computations (September notes on summer impressions). Zbl 0962.65500
1996
Optimal interval enclosures for fractionally-linear functions, and their application to intelligent control. Zbl 0862.65013
Lea, Robert N.; Kreinovich, Vladik; Trejo, Raul
1996
If we measure a number, we get an interval. What if we measure a function or an operator? Zbl 0860.65035
1996
3-layer neural networks are universal approximators for functionals and for control strategies. Zbl 0827.93044
1993
Decision making under interval uncertainty (to appear). Zbl 06333876
2021
Why rectified linear neurons are efficient: a possible theoretical explanation. Zbl 07285533
Fuentes, Olac; Parra, Justin; Anthony, Elizabeth; Kreinovich, Vladik
2020
Why are FGM copulas successful? A simple explanation. Zbl 1397.62183
2018
A new reconstruction from the F-transform components. Zbl 1377.44008
Perfilieva, Irina; Holčapek, Michal; Kreinovich, Vladik
2016
The general theory of decisions. Zbl 1388.91085
Aliev, R. A.; Pedrycz, Witold; Kreinovich, V.; Huseynov, O. H.
2016
Fuzzy, intuitionistic fuzzy, what next? Zbl 1370.68278
2016
Causal inference in econometrics. Zbl 1330.62014
Huynh, Van-Nam; Kreinovich, Vladik; Sriboonchitta, Songsak
2016
Set-valued conditioning in a possibility theory setting. Zbl 1403.68288
Benferhat, Salem; Levray, Amélie; Tabia, Karim; Kreinovich, Vladik
2016
Necessary and sufficient conditions for generalized uniform fuzzy partitions. Zbl 1392.26040
Holčapek, Michal; Perfilieva, Irina; Novák, Vilém; Kreinovich, Vladik
2015
Econometrics of risk. Zbl 1341.91005
Huynh, Van-Nam; Kreinovich, Vladik; Sriboonchitta, Songsak; Suriya, Komsan
2015
Why lattice-valued fuzzy values? A mathematical justification. Zbl 1361.03026
Ouncharoen, Rujira; Kreinovich, Vladik; Nguyen, Hung T.
2015
Fuzzy Xor classes from quantum computing. Zbl 1355.81056
Ávila, Anderson; Schmalfuss, Murilo; Reiser, Renata; Kreinovich, Vladik
2015
From mean and median income to the most adequate way of taking inequality into account. Zbl 1418.91203
Kreinovich, Vladik; Nguyen, Hung T.; Ouncharoen, Rujira
2015
Filtering out high frequencies in time series using F-transform. Zbl 1343.62069
Novák, Vilém; Perfilieva, Irina; Holčapek, Michal; Kreinovich, Vladik
2014
How to fully represent expert information about imprecise properties in a computer system: random sets, fuzzy sets, and beyond: an overview. Zbl 1291.93243
2014
Likert-type fuzzy uncertainty from a traditional decision making viewpoint: how symmetry helps explain human decision making (including seemingly irrational behavior) (survey). Zbl 1314.91097
Lorkowski, J.; Kreinovich, V.
2014
Decision making under interval uncertainty (and beyond). Zbl 1418.91161
2014
Processing quantities with heavy-tailed distribution of measurement uncertainty: how to estimate the tails of the results of data processing. Zbl 1303.68047
2014
Fuzzy sets can be interpreted as limits of crisp sets, and this can help to fuzzify crisp notions. Zbl 1303.03084
Kosheleva, Olga; Kreinovich, Vladik; Ngamsantivong, Thavatchai
2014
Advance trends in soft computing. Proceedings of 3rd world conference on soft computing, WCSC, San Antonio, TX, USA, December 16–18, 2013. Zbl 1282.68068
Jamshidi, Mo; Kreinovich, Vladik; Kacprzyk, Janusz
2014
Bayesian approach for inconsistent information. Zbl 1321.62153
Stein, M.; Beer, M.; Kreinovich, V.
2013
Orders on intervals over partially ordered sets: extending Allen’s algebra and interval graph results. Zbl 1326.06005
Zapata, Francisco; Kreinovich, Vladik; Joslyn, Cliff; Hogan, Emilie
2013
2013
F-transform in view of aggregation functions. Zbl 1277.68274
2013
Computing statistics under interval and fuzzy uncertainty. Applications to computer science and engineering. Zbl 1238.68009
Nguyen, Hung T.; Kreinovich, Vladik; Wu, Berlin; Xiang, Gang
2012
Efficient algorithms for heavy-tail analysis under interval uncertainty. Zbl 06107386
2012
Reconstructing an open order from its closure, with applications to space-time physics and to logic. Zbl 1256.06016
2012
Fuzzy transforms of higher order approximate derivatives: A theorem. Zbl 1253.44005
2011
Why fuzzy transform is efficient in large-scale prediction problems: a theoretical explanation. Zbl 1232.62160
2011
Square root of ‘not’: a major difference between fuzzy and quantum logics. Zbl 1231.03027
2011
From computing sets of optima, Pareto sets, and sets of Nash equilibria to general decision-related set computations. Zbl 1219.91038
2010
Estimating information amount under uncertainty: algorithmic solvability and computational complexity. Zbl 1195.94042
2010
Fast convolution and fast Fourier transform under interval and fuzzy uncertainty. Zbl 1177.94045
2010
Decision making beyond Arrow’s “impossibility theorem,” with the analysis of effects of collusion and mutual attraction. Zbl 1157.91013
Nguyen, Hung T.; Kosheleva, Olga; Kreinovich, Vladik
2009
Verified methods for computing Pareto sets: general algorithmic analysis. Zbl 1300.90041
2009
Symmetry between true, false, and uncertain: an explanation. Zbl 1244.03092
2009
In some curved spaces, one can solve NP-hard problems in polynomial time. Zbl 1178.68662
Kreinovich, V.; Margenstern, M.
2009
Trade-off between sample size and accuracy: case of measurements under interval uncertainty. Zbl 1191.68695
Nguyen, Hung T.; Kosheleva, Olga; Kreinovich, Vladik; Ferson, Scott
2009
Computational complexity of determining which statements about causality hold in different space-time models. Zbl 1158.68015
2008
Static space-times naturally lead to quasi-pseudometrics. Zbl 1151.54030
2008
From (Idealized) exact causality-preserving transformations to practically useful approximately-preserving ones: a general approach. Zbl 1194.83011
2008
Fast algorithms for computing statistics under interval uncertainty: an overview. Zbl 1139.62065
2008
Equidecomposability (scissors congruence) of polyhedra in $$\mathbb R^3$$ and $$\mathbb R^4$$ is algorithmically decidable: Hilbert’s 3rd problem revisited. Zbl 1161.52011
2008
Towards a combination of interval and ellipsoid uncertainty. Zbl 1212.65191
Kreinovich, Vladik; Neumaier, Arnold; Xiang, Gang
2008
When are two wave functions distinguishable: a new answer to Pauli’s question, with potential application to quantum cosmology. Zbl 1186.83159
2008
On-line algorithms for computing mean and variance of interval data, and their use in intelligent systems. Zbl 05174376
Kreinovich, Vladik; Nguyen, Hung T.; Wu, Berlin
2007
On the functional form of convex underestimators for twice continuously differentiable functions. Zbl 1133.49030
2007
Towards optimal techniques for solving global optimization problems: symmetry-based approach. Zbl 1267.90105
2007
Monte-Carlo-type techniques for processing interval uncertainty, and their potential engineering applications. Zbl 1106.65043
Kreinovich, Vladik; Beck, Jan; Ferregut, Carlos; Sanchez, Araceli; Keller, G. Randy; Averill, Matthew; Starks, Scott A.
2007
Interval versions of statistical techniques with applications to environmental analysis, bioinformatics, and privacy in statistical databases. Zbl 1108.65007
Kreinovich, Vladik; Longpré, Luc; Starks, Scott A.; Xiang, Gang; Beck, Jan; Kandathi, Raj; Nayak, Asis; Ferson, Scott; Hajagos, Janos
2007
Computing population variance and entropy under interval uncertainty: Linear-time algorithms. Zbl 1146.65014
Xiang, Gang; Ceberio, Martine; Kreinovich, Vladik
2007
Entropy conserving probability transforms and the entailment principle. Zbl 1123.68127
2007
Towards adding probabilities and correlations to interval computations. Zbl 1186.65057
Berleant, Daniel; Ceberio, Martine; Xiang, Gang; Kreinovich, Vladik
2007
Interval-type and affine arithmetic-type techniques for handling uncertainty in expert systems. Zbl 1106.68101
Ceberio, Martine; Kreinovich, Vladik; Chopra, Sanjeev; Longpré, Luc; Nguyen, Hung T.; Ludäscher, Bertram; Baral, Chitta
2007
From intervals to domains: towards a general description of validated uncertainty, with potential applications to geospatial and meteorological data. Zbl 1109.65044
Kreinovich, Vladik; Kosheleva, Olga; Starks, Scott A.; Tupelly, Kavitha; Dimuro, Graçaliz P.; Da Rocha Costa, Antônio Carlos; Villaverde, Karen
2007
Ellipsoids and ellipsoid-shaped fuzzy sets as natural multi-variate generalization of intervals and fuzzy numbers: how to elicit them from users, and how to use them in data processing. Zbl 1112.68123
Kreinovich, Vladik; Beck, Jan; Nguyen, Hung T.
2007
Unimodality, independence lead to NP-hardness of interval probability problems. Zbl 1120.65006
Berleant, Daniel J.; Kosheleva, Olga; Kreinovich, Vladik; Nguyen, Hung T.
2007
Towards combining probabilistic and interval uncertainty in engineering calculations: algorithms for computing statistics under interval uncertainty, and their computational complexity. Zbl 1104.65010
Kreinovich, Vladik; Xiang, Gang; Starks, Scott A.; Longpré, Luc; Ceberio, Martine; Araiza, Roberto; Beck, Jan; Kandathi, Raj; Nayak, Asis; Torres, Roberto; Hajagos, Janos G.
2006
Computing best-possible bounds for the distribution of a sum of several variables is NP-hard. Zbl 1103.68120
2006
Computing mean and variance under Dempster-Shafer uncertainty: towards faster algorithms. Zbl 1103.68121
Kreinovich, Vladik; Xiang, Gang; Ferson, Scott
2006
Population variance under interval uncertainty: a new algorithm. Zbl 1098.65006
Dantsin, Evgeny; Kreinovich, Vladik; Wolpert, Alexander; Xiang, Gang
2006
Exact bounds on finite populations of interval data. Zbl 1076.65013
Ferson, Scott; Ginzburg, Lev; Kreinovich, Vladik; Longpré, Luc; Aviles, Monica
2005
Optimal finite characterization of linear problems with inexact data. Zbl 1080.15002
2005
Outlier detection under interval uncertainty: algorithmic solvability and computational complexity. Zbl 1076.65014
Kreinovich, Vladik; Longpré, Luc; Patangay, Praveen; Ferson, Scott; Ginzburg, Lev
2005
Beyond convex? global optimization is feasible only for convex objective functions: a theorem. Zbl 1097.90071
2005
Convergence properties of an interval probabilistic approach to system reliability estimation. Zbl 1113.62125
2005
Probabilities, intervals, what next? Optimization problems related to extension of interval computations to situations with partial information about probabilities. Zbl 1067.65014
Kreinovich, V.
2004
Towards more realistic (e.g., non-associative) “and” - and “or”-operations in fuzzy logic. Zbl 1074.03011
Kreinovich, V.
2004
Interval arithmetic, affine arithmetic, Taylor series methods: Why, what next? Zbl 1078.65035
Nedialkov, Nedialko S.; Kreinovich, Vladik; Starks, Scott A.
2004
Novel approaches to numerical software with result verification. Zbl 1126.65308
Granvilliers, Laurent; Kreinovich, Vladik; Müller, Norbert
2004
Robust methodology for characterizing system response to damage: Approach based on partial order. Zbl 1151.90379
Tanenbaum, Paul J.; de la Mora, Carlos; Wojciechowski, Piotr; Kosheleva, Olga; Kreinovich, Vladik; Starks, Scott A.; Kuzminykh, Alexandr V.
2004
Greedy algorithms for optimizing multivariate Horner schemes. Zbl 1343.65049
2004
Outlier detection under interval uncertainty: Algorithmic solvability and computational complexity. Zbl 1151.68588
Kreinovich, Vladik; Longpré, Luc; Patangay, Praveen; Ferson, Scott; Ginzburg, Lev
2004
Towards applying computational complexity to foundations of physics. Zbl 1072.81005
Kreinovich, V.; Finkelstein, A. M.
2004
A feasible algorithm for locating concave and convex zones of interval data and its use in statistics-based clustering. Zbl 1114.91091
Kreinovich, Vladik; Pauwels, Eric J.; Ferson, Scott A.; Ginzburg, Lev
2004
Fast quantum algorithms for handling probabilistic and interval uncertainty. Zbl 1063.65036
2004
Dirty pages of logarithm tables, lifetime of the universe, and (subjective) probabilities on finite and infinite intervals. Zbl 1045.65042
Nguyen, Hung T.; Kreinovich, Vladik; Longpré, Luc
2004
Eliminating duplicates under interval and fuzzy uncertainty: an asymptotically optimal algorithm and its geospatial applications. Zbl 1088.68585
Torres, Roberto; Keller, G. Randy; Kreinovich, Vladik; Longpré, Luc; Starks, Scott A.
2004
Checking identities is computationally intractable NP-hard and therefore human provers will always be needed. Zbl 1101.68608
2004
Interval-valued and fuzzy-valued random variables: from computing sample variances to computing sample covariances. Zbl 1065.62020
Beck, Jan B.; Kreinovich, Vladik; Wu, Berlin
2004
Universal approximation theorem for uninorm-based fuzzy systems modeling. Zbl 1040.93043
2003
On the solution sets of particular classes of linear interval systems. Zbl 1019.65023
Alefeld, Götz; Kreinovich, Vladik; Mayer, Günter
2003
On symmetric solution sets. Zbl 1038.65020
Alefeld, G.; Kreinovich, V.; Mayer, G.
2003
Kolmogorov complexity and chaotic phenomena. Zbl 1211.68221
2003
Open-ended configurations of radio telescopes: A geometrical analysis. Zbl 1142.85300
Kreinovich, Vladik; Starks, Scott A.; Iourinski, Dima; Kosheleva, Olga; Finkelstein, Andrei
2003
Which truth values in fuzzy logics are definable? Zbl 1036.03020
Nguyen, Hung T.; Kreinovich, Vladik; Di Nola, Antonio
2003
On the relation between two approaches to combining evidence: ordered abelian groups and uninorms. Zbl 1083.68613
2003
Are there easy-to-check necessary and sufficient conditions for straightforward interval computations to be exact? Zbl 1027.65057
Kreinovich, Vladik; Longpré, Luc; Buckley, James J.
2003
Exact upper bound on the mean of the product of many random variables with known expectations. Zbl 1050.92054
Kreinovich, Vladik; Ferson, Scott; Ginzburg, Lev
2003
Towards reliable sub-division of geological areas: interval approach. Zbl 1128.86306
Coblentz, David D.; Kreinovich, Vladik; Penn, Brian S.; Starks, Scott A.
2003
Limit theorems and applications of set-valued and fuzzy set-valued random variables. Zbl 1348.60003
Li, Shoumei; Ogura, Yukio; Kreinovich, Vladik
2002
A new universal approximation result for fuzzy systems, which reflects CNF-DNF duality. Zbl 1028.68169
2002
From $$[0,1]$$-based logic to interval logic (from known description of all possible $$[0,1]$$-based logical operations to a description of all possible interval-based logical operations). Zbl 1230.03048
2002
Interval methods in non-destructive testing of material structures. Zbl 1045.65043
Worden, Keith; Osegueda, Roberto; Ferregut, Carlos; Nazarian, Soheil; George, Debra L.; George, Mary J.; Kreinovich, Vladik; Kosheleva, Olga; Cabrera, Sergio
2001
Error estimations for indirect measurements: Randomized vs. deterministic algorithms for “black-box” programs. Zbl 1056.68165
2001
Theoretical justification of a heuristic subbox selection criterion for interval global optimization. Zbl 1002.90093
2001
Strassen’s algorithm made (somewhat) more natural: A pedagogical remark. Zbl 0974.68241
2001
Statistical and Dempster-Shafer techniques in testing structural integrity of aerospace structures. Zbl 1113.62354
Osegueda, Roberto A.; Seelam, Seetharami R.; Holguin, Ana C.; Kreinovich, Vladik; Tao, Chin-Wang; Nguyen, Hung T.
2001
From planning to searching for the shortest plan: an optimal transition. Zbl 1113.68484
Trejo, R.; Galloway, J.; Sachar, C.; Kreinovich, V.; Baral, C.; Tuan, Le Chi
2001
Computational complexity of planning and approximate planning in the presence of incompleteness. Zbl 0948.68088
Baral, C.; Kreinovich, V.; Trejo, R.
2000
...and 93 more Documents
all top 5

#### Cited by 875 Authors

 104 Kreinovich, Vladik Yakovlevich 25 Nguyen, Hung Trung 23 Hladík, Milan 19 Kosheleva, Olga M. 14 Li, Shoumei 13 Perfilieva, Irina G. 10 Longpré, Luc 10 Xiang, Gang 8 Holcapek, Michal 7 Jaulin, Luc 7 Mayer, Günter 7 Mesiar, Radko 7 Reiser, Renata Hax Sander 7 Rohn, Jiri 7 Wang, Zhudeng 6 Baczynski, Michal 6 Colubi, Ana 6 Dehghan Takht Fooladi, Mehdi 6 Ferson, Scott A. 6 Novák, Vilém 6 Ogura, Yukio 6 Saadati, Reza 6 Starks, Scott A. 5 Baral, Chitta R. 5 Dimuro, Graçaliz Pereira 5 Floudas, Christodoulos Achilleus 5 Gil, María Angeles 5 Guan, Li 5 Hashemi, Behnam 5 Myšková, Helena 5 Sriboonchitta, Songsak 5 Stefanini, Luciano 5 Torrens, Joan 5 Wu, Berlin 5 Yager, Ronald R. 4 Alefeld, Götz E. 4 Allahviranloo, Tofigh 4 Beck, Jan B. 4 Bedregal, Benjamín Callejas 4 Beer, Michael A. 4 Destercke, Sébastien 4 Dubois, Didier 4 Liu, Xinwang 4 Qin, Feng 4 Sinova, Beatriz 4 Son, Tran Cao 4 Zadeh, Lotfi Asker 3 Araya, Ignacio J. 3 Bongiorno, Enea G. 3 Bouchon-Meunier, Bernadette 3 Ceberio, Martine 3 Černý, Michal 3 Chernykh, German A. 3 Couso, Inés 3 Dehghani-Madiseh, Marzieh 3 Dumrongpokaphan, Thongchai 3 Fang, Jinxuan 3 Fu, Ke’ang 3 Ghanbari, Mojtaba 3 Ghatee, Mehdi 3 González-Rodríguez, Gil 3 Gounaris, Chrysanthos E. 3 Hajagos, Janos G. 3 Hurtík, Petr 3 Kacprzyk, Janusz 3 Kearfott, Baker 3 Klement, Erich Peter 3 Labuschagne, Coenraad C. A. 3 Li, Yongming 3 Liu, Baoding 3 Ma, Jingjing 3 Monserrat, Miquel 3 Oberkampf, William L. 3 Shi, Zhongke 3 Skalna, Iwona 3 Su, Yong 3 Terán, Pedro 3 Trejo, Raúl 3 Villaverde, Karen 3 Wojciechowski, Piotr J. 3 Yamamura, Kiyotaka 3 Zapata, Francisco 3 Zhang, Jinping 3 Žilinskas, Julius 2 Aletti, Giacomo 2 Aliev, Rafik Aziz 2 Araiza, Roberto 2 Arjmandzadeh, Ziba 2 Asmuss, Svetlana V. 2 Averill, Matthew G. 2 Bae, Jong Sook 2 Benferhat, Salem 2 Berleant, Daniel J. 2 Botur, Michal 2 Boukezzoula, Reda 2 Buckley, James J. 2 Bustince, Humberto 2 Cechlárová, Katarína 2 Chabert, Gilles 2 Cho, Seonghoon ...and 775 more Authors
all top 5

#### Cited in 167 Serials

 94 Fuzzy Sets and Systems 41 Information Sciences 34 International Journal of Approximate Reasoning 30 Reliable Computing 19 Linear Algebra and its Applications 18 Soft Computing 15 Journal of Global Optimization 12 Applied Mathematics and Computation 12 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 11 Artificial Intelligence 10 International Journal of General Systems 10 International Journal of Theoretical Physics 10 Thai Journal of Mathematics 9 Journal of Computational and Applied Mathematics 9 Kybernetika 9 International Journal of Intelligent Systems 9 European Journal of Operational Research 7 BIT 7 Optimization Letters 6 Computers & Mathematics with Applications 6 Applied Mathematical Modelling 5 Computer Methods in Applied Mechanics and Engineering 5 Computing 5 Annals of Operations Research 5 Fixed Point Theory and Applications 4 Journal of Mathematical Analysis and Applications 4 Studia Logica 4 Theoretical Computer Science 4 Numerical Algorithms 4 Computational Statistics and Data Analysis 4 International Journal of Applied Mathematics and Computer Science 4 Journal of Intelligent and Fuzzy Systems 4 Fuzzy Optimization and Decision Making 3 International Journal of Engineering Science 3 Chaos, Solitons and Fractals 3 Stochastic Analysis and Applications 3 Optimization 3 Japan Journal of Industrial and Applied Mathematics 3 Annals of Mathematics and Artificial Intelligence 2 International Journal of Systems Science 2 Journal of Applied Mathematics and Mechanics 2 Journal of Computer and System Sciences 2 Journal of Optimization Theory and Applications 2 Mathematics and Computers in Simulation 2 Mathematica Slovaca 2 Tohoku Mathematical Journal. Second Series 2 Cybernetics and Systems 2 Applied Numerical Mathematics 2 Order 2 Journal of Complexity 2 Discrete & Computational Geometry 2 Neural Networks 2 Computational Statistics 2 Journal of Applied Non-Classical Logics 2 Computational and Applied Mathematics 2 Constraints 2 ELA. The Electronic Journal of Linear Algebra 2 Mathematical Problems in Engineering 2 Journal of Inequalities and Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Systems Science and Complexity 2 Sādhanā 2 Journal of Applied Logic 2 Acta Mechanica Sinica 2 Journal of Statistical Theory and Practice 2 Axioms 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Biological Cybernetics 1 Communications in Algebra 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Information Processing Letters 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Algebra Universalis 1 Automatica 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 International Journal for Numerical Methods in Engineering 1 Journal of Economic Theory 1 Journal of Econometrics 1 Journal of Statistical Planning and Inference 1 The Journal of Symbolic Logic 1 Kybernetes 1 Mathematische Nachrichten 1 Operations Research 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Ricerche di Matematica 1 Topology and its Applications 1 Mathematical Social Sciences 1 Statistics & Probability Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Social Choice and Welfare 1 Constructive Approximation 1 Information and Computation 1 Computational Mechanics 1 Asia-Pacific Journal of Operational Research 1 Applied Mathematics Letters ...and 67 more Serials
all top 5

#### Cited in 48 Fields

 159 Numerical analysis (65-XX) 156 Computer science (68-XX) 108 Mathematical logic and foundations (03-XX) 96 Operations research, mathematical programming (90-XX) 91 Statistics (62-XX) 53 Probability theory and stochastic processes (60-XX) 45 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 37 Systems theory; control (93-XX) 26 Information and communication theory, circuits (94-XX) 24 Real functions (26-XX) 23 Order, lattices, ordered algebraic structures (06-XX) 22 General topology (54-XX) 14 Measure and integration (28-XX) 13 Integral transforms, operational calculus (44-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Mechanics of deformable solids (74-XX) 11 Relativity and gravitational theory (83-XX) 11 Biology and other natural sciences (92-XX) 10 Ordinary differential equations (34-XX) 10 Approximations and expansions (41-XX) 10 Operator theory (47-XX) 9 Functional analysis (46-XX) 9 Geophysics (86-XX) 7 Quantum theory (81-XX) 6 General algebraic systems (08-XX) 5 Difference and functional equations (39-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Convex and discrete geometry (52-XX) 4 Fluid mechanics (76-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Mathematics education (97-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.