Concepedia

Membership Functions

Membership function is a mathematical function that defines the degree of membership of an element in a fuzzy set, distinguishing it from classical binary membership by allowing values in the continuous interval [0, 1] to represent partial membership.

4.2K

Publications

216.5K

Citations

8.2K

Authors

2.4K

Institutions

Publications per year

2017–2026

1.1K

Variants

Membership Function

Parents

Publications

4.2K

FCM: The fuzzy c-means clustering algorithm

James C. Bezdek, Robert Ehrlich, William E. Full · Computers & Geosciences · 1984 · 6.6K citations

, , +9

Fuzzy basis functions, universal approximation, and orthogonal least-squares learning

L.-X. Wang, Jerry M. Mendel · IEEE Transactions on Neural Networks · 1992 · 2.8K citations

, , +14

Operations on fuzzy numbers

Didier Dubois, Henri Prade · International Journal of Systems Science · 1978 · 2.7K citations · Full text

, , +11

Well-Separated Clusters and Optimal Fuzzy Partitions

J. C. Dunn · Journal of Cybernetics · 1974 · 2.5K citations

, , +12

Generalized Orthopair Fuzzy Sets

Ronald R. Yager · IEEE Transactions on Fuzzy Systems · 2016 · 2.2K citations

, , +10

1–5 of 4.2K

Authors

8.2K

  1. HL
    Hak‐Keung Lam

    King's College London, United Kingdom

    100 publications · 8.5K citations

    48

    h-index

  2. WP
    Witold Pedrycz

    University of Alberta, Canada

    45 publications · 3K citations

    27

    h-index

  3. OC
    Oscar Castillo

    Instituto Tecnológico de Tijuana, Mexico

    48 publications · 1.7K citations

    24

    h-index

  4. JM
    Jerry M. Mendel

    University of Southern California, United States

    30 publications · 8.1K citations

    24

    h-index

  5. PM
    Patricia Melín

    Instituto Tecnológico de Tijuana, Mexico

    27 publications · 1.2K citations

    19

    h-index

1–5 of 8.2K

Institutions

2.4K

  1. King's College London

    London, United Kingdom

    43 h-index

    124 publications

    11.3K citations

  2. Harbin Institute of Technology

    Harbin, China

    32 h-index

    83 publications

    6.3K citations

  3. Universidad de Granada

    Granada, Spain

    30 h-index

    126 publications

    8.1K citations

  4. Northeastern University

    Shenyang, China

    29 h-index

    90 publications

    5.4K citations

  5. University of Southern California

    Los Angeles, United States

    27 h-index

    58 publications

    17.1K citations

  6. University of Alberta

    Edmonton, Canada

    25 h-index

    61 publications

    3.5K citations

  7. Instituto Tecnológico de Tijuana

    Tijuana, Mexico

    24 h-index

    124 publications

    3.7K citations

  8. Bohai University

    Jinzhou, China

    22 h-index

    41 publications

    8.7K citations

1–8 of 2.4K

Venues

  1. IEEE Transactions on Fuzzy Systems

    TFS · 396 publications · 39.7K citations

    103

    h-index

  2. Fuzzy Sets and Systems

    194 publications · 13.9K citations

    57

    h-index

  3. 40

    h-index

  4. IEEE Transactions on Cybernetics

    38 publications · 3.6K citations

    29

    h-index

  5. Information Sciences

    46 publications · 4K citations

    27

    h-index

1–5