Topic · Advanced Algebra and Logic
Most cited papers in Advanced Algebra and Logic
What are the most cited papers in Advanced Algebra and Logic?
The most cited paper in Advanced Algebra and Logic is "Dynamical Theory of Crystal Lattices" (Max Born, Kun Huang, Melvin D. Lax, 1955), with 10,595 citations. Next come "Fuzzy sets as a basis for a theory of possibility" (8,108) and "Fuzzy logic in control systems: fuzzy logic controller. I" (5,627).
Showing 50 of 97 papers. Every paper with more than 674 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Dynamical Theory of Crystal Lattices Max Born, Kun Huang, Melvin D. Lax · American Journal of Physics | Oct 1955 | 10,595 |
| 2 | Fuzzy sets as a basis for a theory of possibility Lotfi A. Zadeh · Fuzzy Sets and Systems | 1978 | 8,108 |
| 3 | Fuzzy logic in control systems: fuzzy logic controller. I C.C. Lee · IEEE Transactions on Systems Man and Cybernetics | 1990 | 5,627 |
| 4 | Fuzzy logic = computing with words Lotfi A. Zadeh · IEEE Transactions on Fuzzy Systems | May 1996 | 3,246 |
| 5 | ROUGH FUZZY SETS AND FUZZY ROUGH SETS* Didier Dubois, Henri M. Prade · International Journal of General Systems | Jun 1990 | 3,003 |
| 6 | Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic Lotfi A. Zadeh · Fuzzy Sets and Systems | Sep 1997 | 2,926 |
| 7 | A 2-tuple fuzzy linguistic representation model for computing with words Luis M. Martínez, Francisco Herrera · IEEE Transactions on Fuzzy Systems | 2000 | 2,680 |
| 8 | Similarity relations and fuzzy orderings Lotfi A. Zadeh · Information Sciences | Apr 1971 | 2,655 |
| 9 | Well-Separated Clusters and Optimal Fuzzy Partitions J. C. Dunn · Journal of Cybernetics | 1974 | 2,545 |
| 10 | Pythagorean fuzzy subsets Ronald R. Yager | Jun 2013 | 2,468 |
| 11 | Fuzzy topological spaces C. L. Chang · Journal of Mathematical Analysis and Applications | Oct 1968 | 2,329 |
| 12 | Classical negation in logic programs and disjunctive databases Michael Gelfond, Vladimir Lifschitz · New Generation Computing | Aug 1991 | 2,314 |
| 13 | A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory Aldo de Luca, S. Termini · Information and Control | May 1972 | 2,269 |
| 14 | RESTRUCTURING LATTICE THEORY: AN APPROACH BASED ON HIERARCHIES OF CONCEPTS Rudolf Wille · Lecture notes in computer science | 2009 | 2,092 |
| 15 | Relativized minimality M. Rita Manzini · Lingua | Sep 1991 | 2,079 |
| 16 | Circumscription—A form of non-monotonic reasoning John McCarthy · Artificial Intelligence | Apr 1980 | 2,034 |
| 17 | Generalized quantifiers and natural language Jon Barwise, Robin Cooper · Linguistics and Philosophy | 1981 | 1,930 |
| 18 | Finite Automata and Their Decision Problems M. O. Rabin, D. Scott · IBM Journal of Research and Development | Apr 1959 | 1,905 |
| 19 | On Ideal Lattices and Learning with Errors over Rings Vadim Lyubashevsky, Chris Peikert, Oded Regev · Lecture notes in computer science | 2010 | 1,835 |
| 20 | A computational approach to fuzzy quantifiers in natural languages Lotfi A. Zadeh · Computers & Mathematics with Applications | 1983 | 1,830 |
| 21 | Results on the propositional μ-calculus Dexter C. Kozen · Theoretical Computer Science | 1983 | 1,825 |
| 22 | Fuzzy logic L. A. Zadeh · Computer | Apr 1988 | 1,818 |
| 23 | Structural equivalence of individuals in social networks François Lorrain, Harrison C. White · Journal of Mathematical Sociology | 1971 | 1,710 |
| 24 | A Theorem on Boolean Matrices Stephen Warshall · Journal of the ACM | 1962 | 1,698 |
| 25 | A Decision Method for Elementary Algebra and Geometry Alfred Tarski · Texts & monographs in symbolic computation/Texts and monographs in symbolic computation | 1998 | 1,689 |
| 26 | The well-founded semantics for general logic programs Allen Van Gelder, Kenneth Andrew Ross, John Stewart Schlipf · Journal of the ACM | Jul 1991 | 1,682 |
| 27 | Nonmonotonic reasoning, preferential models and cumulative logics Sarit Kraus, Daniel J. Lehmann, Menachem Magidor · Artificial Intelligence | Jul 1990 | 1,680 |
| 28 | Fuzzy logic and approximate reasoning Lotfi A. Zadeh · Synthese | 1975 | 1,621 |
| 29 | Vagueness, truth and logic Kit Fine · Synthese | 1975 | 1,600 |
| 30 | Hedges: A Study in Meaning Criteria and the Logic of Fuzzy Concepts George P. Lakoff | 1975 | 1,576 |
| 31 | Linguistic decision analysis: steps for solving decision problems under linguistic information Francisco Herrera, Enrique Herrera‐Viedma · Fuzzy Sets and Systems | Oct 2000 | 1,566 |
| 32 | Fuzzy logic, neural networks, and soft computing Lotfi A. Zadeh · Communications of the ACM | Mar 1994 | 1,540 |
| 33 | On some new operations in soft set theory Muhammad İrfan Ali, Feng Feng, Xiaoyan Liu et al. · Computers & Mathematics with Applications | 2 Jan 2009 | 1,459 |
| 34 | A logical calculus of the ideas immanent in nervous activity Warren S. McCulloch, Walter Pitts · Bulletin of Mathematical Biology | 1990 | 1,454 |
| 35 | A Useful Four-Valued Logic Nuel Belnap | 1977 | 1,446 |
| 36 | Dynamic predicate logic Jeroen Groenendijk, Martin Stokhof · Linguistics and Philosophy | Feb 1991 | 1,429 |
| 37 | Pythagorean Membership Grades, Complex Numbers, and Decision Making Ronald R. Yager, Ali M. Abbasov · International Journal of Intelligent Systems | 4 Mar 2013 | 1,425 |
| 38 | Is there a need for fuzzy logic? Lotfi A. Zadeh · Information Sciences | 5 Mar 2008 | 1,356 |
| 39 | Semi-Open Sets and Semi-Continuity in Topological Spaces Norman S. Levine · American Mathematical Monthly | 1963 | 1,348 |
| 40 | Fuzzy groups Azriel Rosenfeld · Journal of Mathematical Analysis and Applications | Sep 1971 | 1,333 |
| 41 | Fuzzy logic in control systems: fuzzy logic controller. II C.C. Lee · IEEE Transactions on Systems Man and Cybernetics | 1990 | 1,315 |
| 42 | ELEMENTS OF ALGEBRAIC TOPOLOGY Kazimierz Kuratowski · Elsevier eBooks | 1972 | 1,304 |
| 43 | The knowledge complexity of interactive proof-systems Sbafi Goldwasser, Silvio Micali, Charles Rackoff | 1985 | 1,289 |
| 44 | Networks of constraints: Fundamental properties and applications to picture processing Ugo Montanari · Information Sciences | 1974 | 1,271 |
| 45 | Families of OWA operators Ronald R. Yager · Fuzzy Sets and Systems | Oct 1993 | 1,241 |
| 46 | A Theory of Communicating Sequential Processes Stephen Brookes, C. A. R. Hoare, Andrew William Roscoe · Journal of the ACM | 26 Jun 1984 | 1,194 |
| 47 | Logic for problem solving Robert Kowalski, Steve Smoliar · ACM SIGSOFT Software Engineering Notes | Apr 1982 | 1,187 |
| 48 | The DLV system for knowledge representation and reasoning Nicola Leone, Gerald Pfeifer, Wolfgang Faber et al. · ACM Transactions on Computational Logic | Jul 2006 | 1,177 |
| 49 | A model of consensus in group decision making under linguistic assessments Francisco Herrera, Enrique Herrera‐Viedma, José Luís Verdegay · Fuzzy Sets and Systems | Feb 1996 | 1,153 |
| 50 | Towards a Theory of Declarative Knowledge Krzysztof Rafal Apt, Howard A. Blair, Adrian Walker · Elsevier eBooks | 1988 | 1,144 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.