Concepedia

Equivalence Relation Representation

Equivalence Relation Representation is a formal framework in discrete mathematics that, as a data structure and algorithmic paradigm, uniquely encodes and dynamically maintains partitions of a set by representing each equivalence class through a canonical element, thereby enabling efficient query and union operations under the constraints of reflexivity, symmetry, and transitivity.

258

Publications

11K

Citations

504

Authors

307

Institutions

Publications per year

2017–2026

39

Parents

Publications

258

Incomplete Multigranulation Rough Set

Yuhua Qian, Jiye Liang, Chuangyin Dang · IEEE Transactions on Systems Man and Cybernetics - Part A Systems and Humans · 2009 · 343 citations

, , +9

An improved equivalence algorithm

Bernard A. Galler, Michael Fisher · Communications of the ACM · 1964 · 310 citations · Full text

, , +8

Pattern Classification Based on Fuzzy Relations

Shinichi Tamura, Seihaku Higuchi, Kokichi Tanaka · IEEE Transactions on Systems Man and Cybernetics · 1971 · 291 citations

, , +13

EQUIVALENCE CLASS ANALYSIS OF GENETIC ALGORITHMS

Nicholas J. Radcliffe · 1991 · 242 citations

, , +11

Classification of heart rate data using artificial neural network and fuzzy equivalence relation

U. Rajendra Acharya, P. Subbanna Bhat, S. S. Iyengar et al. · Pattern Recognition · 2002 · 229 citations

, , +16

1–5 of 258

Authors

504

  1. LF
    Lanny Fields

    Queens College, CUNY, United States

    6 publications · 175 citations

    6

    h-index

  2. MS
    Murray Sidman

    Walter Reed Army Institute of Research, United States

    4 publications · 311 citations

    4

    h-index

  3. MD
    Mustafa Demirci

    Akdeniz University, Türkiye

    4 publications · 135 citations

    4

    h-index

  4. MS
    Muhammad Shabir

    Quaid-i-Azam University, Pakistan

    3 publications · 32 citations

    3

    h-index

  5. HT
    Helmut Thiele

    TU Dortmund University, Germany

    3 publications · 45 citations

    3

    h-index

1–5 of 504

Institutions

307

  1. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    9 publications

    379 citations

  2. The Graduate Center, CUNY

    New York, United States

    4 h-index

    9 publications

    316 citations

  3. Queens College, CUNY

    New York, United States

    4 h-index

    7 publications

    211 citations

  4. College of Staten Island

    New York, United States

    3 h-index

    4 publications

    158 citations

  5. National University of Ireland, Maynooth

    Maynooth, Ireland

    3 h-index

    6 publications

    170 citations

  6. Université Paris-Sud

    Orsay, France

    3 h-index

    3 publications

    63 citations

  7. Akdeniz University

    Antalya, Türkiye

    3 h-index

    3 publications

    112 citations

  8. University of Regina

    Regina, Canada

    3 h-index

    6 publications

    200 citations

1–8 of 307

Venues

  1. The Psychological Record

    11 publications · 351 citations

    11

    h-index

  2. Information Sciences

    8 publications · 237 citations

    8

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 8 publications · 313 citations

    8

    h-index

  4. Journal of Intelligent & Fuzzy Systems

    6 publications · 79 citations

    7

    h-index

  5. Fuzzy Sets and Systems

    7 publications · 231 citations

    7

    h-index

1–5