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Most cited papers in Fuzzy and Soft Set Theory

What are the most cited papers in Fuzzy and Soft Set Theory?

The most cited paper in Fuzzy and Soft Set Theory is "Soft set theory—First results" (Dmitriy Anatolievich Molodtsov, 1999), with 4,721 citations. Next come "Operations on fuzzy numbers" (2,700) and "Pythagorean fuzzy subsets" (2,468).

Showing 50 of 99 papers. Every paper with more than 290 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 Soft set theory—First results Dmitriy Anatolievich Molodtsov · Computers & Mathematics with Applications Open access Feb 1999 4,721
2 Operations on fuzzy numbers Didier Dubois, Henri M. Prade · International Journal of Systems Science Jun 1978 2,700
3 Pythagorean fuzzy subsets Ronald R. Yager Conference paper Jun 2013 2,468
4 Fuzzy topological spaces C. L. Chang · Journal of Mathematical Analysis and Applications Open access Oct 1968 2,329
5 Soft set theory Pabitra Kumar Maji, Ranjit Biswas, Arijit Roy · Computers & Mathematics with Applications Open access Feb 2003 2,282
6 A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory Aldo de Luca, S. Termini · Information and Control Open access May 1972 2,269
7 An application of soft sets in a decision making problem Pabitra Kumar Maji, Arijit Roy, Ranjit Biswas · Computers & Mathematics with Applications Open access Oct 2002 1,745
8 Vague sets Wen-Bing Gau, Daniel J. Buehrer · IEEE Transactions on Systems Man and Cybernetics 1993 1,648
9 On some results in fuzzy metric spaces Aravind George, P. Veeramani · Fuzzy Sets and Systems Jun 1994 1,575
10 On some new operations in soft set theory Muhammad İrfan Ali, Feng Feng, Xiaoyan Liu et al. · Computers & Mathematics with Applications Open access 2 Jan 2009 1,459
11 Semi-Open Sets and Semi-Continuity in Topological Spaces Norman S. Levine · American Mathematical Monthly 1963 1,348
12 Fuzzy groups Azriel Rosenfeld · Journal of Mathematical Analysis and Applications Open access Sep 1971 1,333
13 Soft sets and soft groups Hacı Aktaş, Naim Çağman · Information Sciences 16 Jan 2007 1,118
14 FUNCTORIAL SEMANTICS OF ALGEBRAIC THEORIES F. William Lawvere · Proceedings of the National Academy of Sciences Open access Nov 1963 1,079
15 Fuzzy algorithms Lotfi A. Zadeh · Information and Control Open access Feb 1968 1,065
16 Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence Pu Pao-Ming, Liu Ying-ming · Journal of Mathematical Analysis and Applications Open access Aug 1980 995
17 Fixed points in fuzzy metric spaces Mariusz Grabiec · Fuzzy Sets and Systems Sep 1988 983
18 On soft topological spaces Muhammad Shabir, Munazza Naz · Computers & Mathematics with Applications Open access 7 Mar 2011 965
19 A fuzzy soft set theoretic approach to decision making problems Arijit Roy, Pabitra Kumar Maji · Journal of Computational and Applied Mathematics Open access 31 Mar 2007 952
20 Fuzzy topological spaces and fuzzy compactness R. Löwen · Journal of Mathematical Analysis and Applications Open access Dec 1976 899
21 On Fuzzy Mapping and Control Sheldon S. L. Chang, L. A. Zadeh · IEEE Transactions on Systems Man and Cybernetics 1972 895
22 On a general class of fuzzy connectives Ronald R. Yager · Fuzzy Sets and Systems Nov 1980 796
23 On fuzzy metric spaces Osmo Kaleva, Seppo Seikkala · Fuzzy Sets and Systems Apr 1984 778
24 Some properties of fuzzy sets of type 2 M. Mizumoto, Kokichi Tanaka · Information and Control Open access Aug 1976 777
25 Metric spaces of fuzzy sets Phil Diamond, Peter E. Kloeden · Fuzzy Sets and Systems Apr 1990 768
26 On the relationship between some extensions of fuzzy set theory Glad Deschrijver, Etienne E. Kerre · Fuzzy Sets and Systems 30 Dec 2002 768
27 Interpretation of AF C∗-algebras in Łukasiewicz sentential calculus Daniele Mundici · Journal of Functional Analysis Open access 1986 706
28 An introduction to intuitionistic fuzzy topological spaces Doğan Çoker · Fuzzy Sets and Systems May 1997 692
29 Soft sets combined with fuzzy sets and rough sets: a tentative approach Feng Feng, Changxing Li, Bijan Davvaz et al. · Soft Computing 26 Jun 2009 674
30 Soft set theory and uni–int decision making Naim Çağman, Serdar Enginoğlu · European Journal of Operational Research 13 May 2010 667
31 The parameterization reduction of soft sets and its applications Degang Chen, Eric C.C. Tsang, Daniel So Yeung et al. · Computers & Mathematics with Applications Open access Apr 2005 656
32 A general class of fuzzy operators, the demorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators József Dániel Dombi · Fuzzy Sets and Systems Aug 1982 640
33 Representation of Distributive Lattices by means of ordered Stone Spaces Hilary A. Priestley · Bulletin of the London Mathematical Society Jul 1970 621
34 Quantitative fuzzy semantics Lotfi A. Zadeh · Information Sciences Apr 1971 608
35 Intuitionistic fuzzy metric spaces Jin Han Park · Chaos Solitons & Fractals 8 May 2004 588
36 CALCULUS OF FUZZY RESTRICTIONS Lotfi A. Zadeh · Elsevier eBooks Book chapter 1975 588
37 Soft semirings Feng Feng, Young Bae Jun, Xianzhong Zhao · Computers & Mathematics with Applications Open access 10 Aug 2008 579
38 On the Representation of Intuitionistic Fuzzy>tex/textex/tex<-Conorms Glad Deschrijver, Chris Cornelis, Etienne E. Kerre · IEEE Transactions on Fuzzy Systems Feb 2004 565
39 Fuzzy invariant subgroups and fuzzy ideals Liu Wang-jin · Fuzzy Sets and Systems Aug 1982 556
40 BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES (Cambridge Tracts in Mathematics 134) P. Μ. H. Wilson · Bulletin of the London Mathematical Society 2000 554
41 Soft sets and soft rough sets Feng Feng, Xiaoyan Liu, Violeta Leoreanu-Fotea et al. · Information Sciences 20 Nov 2010 540
42 Some remarks ons-convex functions Henryk Hudzik, Lech Maligranda · Aequationes Mathematicae Open access Aug 1994 534
43 An adjustable approach to fuzzy soft set based decision making Feng Feng, Young Bae Jun, Xiaoyan Liu et al. · Journal of Computational and Applied Mathematics Open access 3 Dec 2009 523
44 Picture fuzzy sets Bùi Công Cường · Journal of Computer Science and Cybernetics Open access 2 Feb 2015 506
45 Presentations of faithful d.g. near-rings J. D. P. Meldrum · Proceedings of the Edinburgh Mathematical Society Open access Feb 1980 481
46 Combination of interval-valued fuzzy set and soft set Xibei Yang, Tsau Young Lin, Jingyu Yang et al. · Computers & Mathematics with Applications Open access 12 Jun 2009 479
47 On the classification of inductive limits of sequences of semisimple finite-dimensional algebras George A. Elliott · Journal of Algebra Open access 1976 469
48 Soft matrix theory and its decision making Naim Çağman, Serdar Enginoğlu · Computers & Mathematics with Applications Open access 12 Apr 2010 468
49 Some remarks on fuzzy graphs Prabir Bhattacharya · Pattern Recognition Letters Dec 1987 459
50 Hesitant fuzzy prioritized operators and their application to multiple attribute decision making Guiwu Wei · Knowledge-Based Systems 16 Mar 2012 438

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.