Concepedia

Betweenness Axioms

Betweenness Axioms is a foundational system of ordered geometry that belongs to the class of axiom schemas in synthetic geometry and is distinguished by its formal characterization of the primitive relation "between" among collinear points, thereby enabling the definition of segments, rays, and order properties without reliance on measurement.

34

Publications

2.5K

Citations

61

Authors

38

Institutions

Publications per year

2017–2026

3

Variants

Axioms Of Betweenness

Parents

Publications

34

Violations of the betweenness axiom and nonlinearity in probability

Colin F. Camerer, Teck‐Hua Ho · Journal of Risk and Uncertainty · 1994 · 751 citations

, , +10

Axiomatic utility theories with the betweenness property

Soo Hong Chew · Annals of Operations Research · 1989 · 250 citations

, , +7

Normalising least angle choice in Depthmap - and how it opens up new perspectives on the global and local analysis of city space

Wrg Hillier, Tse‐Chuan Yang, Andy Turner · ˜The œjournal of space syntax · 2012 · 207 citations

, , +13

Mixture Symmetry and Quadratic Utility

Soo Hong Chew, Larry G. Epstein, Uzi Segal · Econometrica · 1991 · 189 citations

, , +13

Temptation-Driven Preferences

Eddie Dekel, Barton L. Lipman, Aldo Rustichini · The Review of Economic Studies · 2009 · 162 citations

, , +13

1–5 of 34

Authors

61

  1. EV
    Edward V. Huntington

    Harvard University Press, United States

    3 publications · 128 citations

    3

    h-index

  2. SH
    Soo Hong Chew

    National University of Singapore, Singapore

    2 publications · 439 citations

    2

    h-index

  3. ED
    Eddie Dekel

    Tel Aviv University, Israel

    2 publications · 175 citations

    2

    h-index

  4. SA
    S. A. Adeleke

    Western Illinois University, United States

    2 publications · 109 citations

    2

    h-index

  5. MC
    Manoj Changat

    University of Kerala, India

    2 publications · 38 citations

    2

    h-index

1–5 of 61

Institutions

38

  1. Tel Aviv University

    Tel Aviv, Israel

    2 h-index

    2 publications

    175 citations

  2. University of Leeds

    Leeds, United Kingdom

    2 h-index

    2 publications

    39 citations

  3. University of Minnesota

    Minneapolis, United States

    2 h-index

    2 publications

    175 citations

  4. University of Kerala

    Thiruvananthapuram, India

    2 h-index

    4 publications

    70 citations

  5. Boston University

    Boston, United States

    1 h-index

    1 publications

    48 citations

  6. University of Massachusetts Amherst

    Amherst Center, United States

    1 h-index

    2 publications

    60 citations

  7. University of Chicago

    Chicago, United States

    1 h-index

    1 publications

    751 citations

  8. Western Illinois University

    Macomb, United States

    1 h-index

    1 publications

    22 citations

1–8 of 38

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 5 publications · 230 citations

    5

    h-index

  2. Theoretical Economics

    TE · 2 publications · 61 citations

    2

    h-index

  3. 2

    h-index

  4. Econometrica

    2 publications · 220 citations

    2

    h-index

  5. Fuzzy Sets and Systems

    2 publications · 26 citations

    2

    h-index

1–5