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Topic · Statistics and Probability

Fuzzy Systems and Optimization

Fuzzy Systems and Optimization is a research topic within Statistics and Probability. Science Explorer counts 16k research works in it since 1951. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on fuzzy differential equations, uncertainty modeling, and related topics such as generalized differentiability, fractional calculus, numerical methods for solving fuzzy differential equations, and the application of fuzzy regression analysis and optimization in uncertain environments.

  • Fuzzy Differential Equations
  • Uncertainty Theory
  • Generalized Differentiability
  • Expected Value Models
  • Fractional Calculus
  • Numerical Methods
  • Interval-Valued Functions
  • Random Fuzzy Variables
  • Regression Analysis
  • Optimization
Research works
16k
fractional, since 1951
In the world top 10%
1.6k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
-5%
the tick is no change
Largest producer
China
34% of the 10 largest, 2022-now
Fuzzy Systems and Optimization

Which countries lead Fuzzy Systems and Optimization research?

By volume, China and India publish the most (636 and 450 works in 2022-now).

By volume, 2022-now

  1. 1 China 636 works
  2. 2 India 450 works
  3. 3 Türkiye 137 works
  4. 4 United States 136 works
  5. 5 Pakistan 116 works
  6. 6 Saudi Arabia 95 works
  7. 7 Iran 93 works
  8. 8 Spain 66 works
  9. 9 Poland 62 works
  10. 10 Iraq 61 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

China: 34.3%India: 24.3%Türkiye: 7.4%United States: 7.3%6 others listed: 26.6%34%largest
China636 · 34.3%India450 · 24.3%Türkiye137 · 7.4%United States136 · 7.3%6 others listed493 · 26.6%

Shares of the rows listed above, not of the whole node.

Which institutions lead Fuzzy Systems and Optimization research?

By volume in 2022-now, King Abdulaziz University publishes the most Fuzzy Systems and Optimization research, followed by Islamic Azad University, Tehran and Vellore Institute of Technology University.

By volume, 2022-now

  1. 1 King Abdulaziz UniversitySaudi Arabia 24 works
  2. 2 Islamic Azad University, TehranIran 22 works
  3. 3 Vellore Institute of Technology UniversityIndia 21 works
  4. 4 Université Sultan Moulay SlimaneMorocco 19 works
  5. 5 Northwest Normal UniversityChina 16 works
  6. 6 University of the PunjabPakistan 15 works
  7. 7 Xinjiang UniversityChina 14 works
  8. 8 Polish Academy of SciencesPoland 14 works
  9. 9 Nanjing University of Science and TechnologyChina 14 works
  10. 10 SRM Institute of Science and TechnologyIndia 13 works

Who are the leading researchers in Fuzzy Systems and Optimization?

The most-cited researchers publishing on Fuzzy Systems and Optimization include Peter M. Bentler, Qiang Zhang and M. Hashem Pesaran.

  1. 1 Peter M. Bentler United States 233k citations
  2. 2 Qiang Zhang China 184k citations
  3. 3 M. Hashem Pesaran United States 150k citations
  4. 4 Bernhard Schölkopf Germany 148k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

What are the most cited papers in Fuzzy Systems and Optimization?

The most cited paper in Fuzzy Systems and Optimization is "Outline of a New Approach to the Analysis of Complex Systems and Decision Processes" (Lotfi A. Zadeh, 1973), with 8,752 citations. Next come "On ordered weighted averaging aggregation operators in multicriteria decisionmaking" (7,289) and "Applications of the extent analysis method on fuzzy AHP" (4,856).

Most cited papers
#PaperReleasedCitations
1 Outline of a New Approach to the Analysis of Complex Systems and Decision Processes Lotfi A. Zadeh · IEEE Transactions on Systems Man and Cybernetics 1973 8,752
2 On ordered weighted averaging aggregation operators in multicriteria decisionmaking Ronald R. Yager · IEEE Transactions on Systems Man and Cybernetics 1988 7,289
3 Applications of the extent analysis method on fuzzy AHP Da-Yong Chang · European Journal of Operational Research Dec 1996 4,856
4 Fuzzy programming and linear programming with several objective functions H.‐J. Zimmermann · Fuzzy Sets and Systems 1978 3,614
5 Fuzzy hierarchical analysis James J. Buckley · Fuzzy Sets and Systems Dec 1985 3,354
All 100 most cited papers, with filters and sorting

Where is Fuzzy Systems and Optimization research done?

The largest centres of Fuzzy Systems and Optimization research in 2022-now are Beijing (China), Nanjing (China), Istanbul (Türkiye) and Chengdu (China).

Largest cities, 2022-now

  1. 1 BeijingChina 95 works
  2. 2 NanjingChina 55 works
  3. 3 IstanbulTürkiye 40 works
  4. 4 ChengduChina 34 works
  5. 5 LahorePakistan 30 works
  6. 6 ChennaiIndia 29 works
  7. 7 JeddahSaudi Arabia 28 works
  8. 8 Xi'anChina 27 works
  9. 9 TehranIran 26 works
  10. 10 ShanghaiChina 25 works
See Fuzzy Systems and Optimization on the map

Where is the best place to study Fuzzy Systems and Optimization?

Among universities, judged by research, University of the Punjab, Riphah International University and King Abdulaziz University score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%20%40%mean 21.85%fractional works in this field (log) →share of work in the world top 10% →Riphah International…University of the Pu…King Abdulaziz Unive…Vellore Institute of…
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1University of the PunjabPakistan 78.731.7%22.2×15 +27.1%
2Riphah International UniversityPakistan 72.136.0%30.9×10 +177.5%
3King Abdulaziz UniversitySaudi Arabia 71.212.6%19.0×24 +4.4%
4Vellore Institute of Technology UniversityIndia 53.88.7%9.2×21 +285.0%
5Beihang UniversityChina 52.425.2%5.1×13 +51.9%
6Islamic Azad University, TehranIran 46.99.0%5.8×22 -59.9%
7Thapar Institute of Engineering & TechnologyIndia 46.922.2%28.4×10 -61.9%
8Vidyasagar UniversityIndia 44.320.7%57.5×11 -13.4%
9Maharishi Markandeshwar University, MullanaIndia 40.223.7%34.1×8 -12.3%
10Tsinghua UniversityChina 39.928.7%2.0×11 -33.5%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Fuzzy Systems and Optimization, country by country

Is Fuzzy Systems and Optimization research growing?

Output in 2022-2025 was 5% lower than in 2018-2021, peaking in 2021.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Fuzzy Systems and Optimization as a percentage of every work published that year, 0.011% in 2024.

still counting0.010%0.020%0.030%Fuzzy Systems and Optimization0.010% in 202519801990200020102020

Fractional works of Fuzzy Systems and Optimization over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Fuzzy Systems and Optimization10.2% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

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