Science Explorer Back to mapMap
Discussion
Topic · Management Science and Operations Research

Fuzzy and Soft Set Theory

Fuzzy and Soft Set Theory is a research topic within Management Science and Operations Research. Science Explorer counts 15k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the application of soft set theory in decision making, incorporating concepts from fuzzy sets, rough sets, topological spaces, and semirings. It explores parameter reduction techniques, association rules mining, interval-valued fuzzy sets, and multi-criteria decision making.

  • Soft Set Theory
  • Decision Making
  • Fuzzy Sets
  • Rough Sets
  • Topological Spaces
  • Parameter Reduction
  • Semirings
  • Association Rules Mining
  • Interval-Valued Fuzzy Sets
  • Multi-criteria Decision Making
Research works
15k
fractional, since 1950
In the world top 10%
1.5k
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
India
30% of the 10 largest, 2022-now
Fuzzy and Soft Set Theory

Which countries lead Fuzzy and Soft Set Theory research?

By volume, India and Iraq publish the most (649 and 302 works in 2022-now).

By volume, 2022-now

  1. 1 India 649 works
  2. 2 Iraq 302 works
  3. 3 China 271 works
  4. 4 Türkiye 252 works
  5. 5 Saudi Arabia 152 works
  6. 6 Thailand 150 works
  7. 7 Pakistan 120 works
  8. 8 United States 115 works
  9. 9 Iran 106 works
  10. 10 Jordan 81 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.

India: 29.5%Iraq: 13.7%China: 12.4%Türkiye: 11.5%6 others listed: 32.9%30%largest
India649 · 29.5%Iraq302 · 13.7%China271 · 12.4%Türkiye252 · 11.5%6 others listed724 · 32.9%

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

Which institutions lead Fuzzy and Soft Set Theory research?

By volume in 2022-now, Mahasarakham University publishes the most Fuzzy and Soft Set Theory research, followed by University of Baghdad and Mustansiriyah University.

By volume, 2022-now

  1. 1 Mahasarakham UniversityThailand 58 works
  2. 2 University of BaghdadIraq 39 works
  3. 3 Mustansiriyah UniversityIraq 28 works
  4. 4 University of TikritIraq 28 works
  5. 5 Amasya ÜniversitesiTürkiye 27 works
  6. 6 University of PhayaoThailand 25 works
  7. 7 Bharathidasan UniversityIndia 22 works
  8. 8 University of Al-QadisiyahIraq 21 works
  9. 9 University of Management and TechnologyPakistan 21 works
  10. 10 Jordan University of Science and TechnologyJordan 21 works

Who are the leading researchers in Fuzzy and Soft Set Theory?

The most-cited researchers publishing on Fuzzy and Soft Set Theory include Lotfi A. Zadeh, Guanrong Chen and Witold Pedrycz.

  1. 1 Lotfi A. Zadeh United States 141k citations
  2. 2 Guanrong Chen China 116k citations
  3. 3 Witold Pedrycz Canada 95k citations
  4. 4 L. A. Zadeh United States 94k 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 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).

Most cited papers
#PaperReleasedCitations
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
All 99 most cited papers, with filters and sorting

Where is Fuzzy and Soft Set Theory research done?

The largest centres of Fuzzy and Soft Set Theory research in 2022-now are Baghdad (Iraq), Maha Sarakham (Thailand), Chennai (India) and Irbid (Jordan). Among places with at least 20 works in it, it is an unusually large share of all research in Phayao, Maha Sarakham and Amasya.

Largest cities, 2022-now

  1. 1 BaghdadIraq 81 works
  2. 2 Maha SarakhamThailand 59 works
  3. 3 ChennaiIndia 45 works
  4. 4 IrbidJordan 41 works
  5. 5 TehranIran 36 works
  6. 6 Xi'anChina 33 works
  7. 7 BeijingChina 32 works
  8. 8 CoimbatoreIndia 30 works
  9. 9 RiyadhSaudi Arabia 29 works
  10. 10 KolkataIndia 29 works

Where it is the local speciality

  1. PhayaoTH · 25.1 works168×
  2. Maha SarakhamTH · 58.8 works166×
  3. AmasyaTR · 26.8 works96×
  4. LahorePK · 21.1 works79×
  5. AgartalaIN · 28.3 works75×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Fuzzy and Soft Set Theory than the world average.

See Fuzzy and Soft Set Theory on the map

Where is the best place to study Fuzzy and Soft Set Theory?

Among universities, judged by research, University of Management and Technology, International Islamic University, Islamabad and Amasya Üniversitesi 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%60%mean 35.04%fractional works in this field (log) →share of work in the world top 10% →International Islami…University of Manage…Qassim UniversityAmasya Üniversitesi
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 Management and TechnologyPakistan 76.845.1%84.2×21 +91.2%
2International Islamic University, IslamabadPakistan 66.749.7%41.4×12 +72.2%
3Amasya ÜniversitesiTürkiye 65.831.8%106.8×27 +260.5%
4Qassim UniversitySaudi Arabia 61.336.9%20.1×14 +193.6%
5Sana'a UniversityYemen 60.839.2%59.7×13 -20.6%
6University of TabukSaudi Arabia 59.729.0%42.5×15 +28.7%
7University of the PunjabPakistan 58.155.9%14.2×11 -73.7%
8Jordan University of Science and TechnologyJordan 57.923.4%47.9×21 +21.9%
9Mahasarakham UniversityThailand 57.87.9%210.9×58 +402.2%
10Prince Sattam Bin Abdulaziz UniversitySaudi Arabia 55.831.5%15.9×11 +173.2%

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 and Soft Set Theory, country by country

Is Fuzzy and Soft Set Theory research growing?

Output in 2022-2025 was 5% higher than in 2018-2021, peaking in 2022. The fastest-growing topics are Fuzzy and Soft Set Theory.

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 and Soft Set Theory as a percentage of every work published that year, 0.012% in 2024.

still counting0.020%0.040%Fuzzy and Soft Set Theory0.012% in 202519801990200020102020

Fractional works of Fuzzy and Soft Set Theory 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 and Soft Set Theory10.3% 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.

Discussion

Ask a question or share a note about Fuzzy and Soft Set Theory. Posts are plain text and can be reported.