Preference Aggregation Model

A Preference Aggregation Model is an aggregation model that combines individual preferences into collective rankings through mathematical frameworks handling preference relations.

• AKA: Preference Combination Model, Ranking Aggregation Model, Choice Aggregation Model, Preference Fusion Model.
• Context:
  • It can typically handle Incomplete Preferences from partial comparisons.
  • It can typically produce Global Rankings from local preferences.
  • It can often address Preference Cycles violating transitivity.
  • It can often incorporate Preference Strengths beyond binary choices.
  • It can support Social Choice Theory applications in voting systems.
  • It can enable Consensus Rankings from diverse opinions.
  • It can facilitate Preference Learning in recommendation systems.
  • It can integrate with Uncertainty Modeling for probabilistic preferences.
  • It can range from being a Deterministic Aggregation Model to being a Probabilistic Aggregation Model, depending on its uncertainty handling.
  • It can range from being a Cardinal Preference Model to being an Ordinal Preference Model, depending on its preference type.
  • It can range from being a Pairwise Aggregation Model to being a Listwise Aggregation Model, depending on its comparison structure.
  • It can range from being a Parametric Aggregation Model to being a Non-Parametric Aggregation Model, depending on its model assumptions.
  • ...
• Examples:
  • Pairwise Preference Models, such as:
    • Bradley-Terry Model for logistic preference.
    • Thurstone Preference Model for normal preference.
    • Elo Rating Model for sequential update.
  • Listwise Preference Models, such as:
    • Plackett-Luce Model for ranking probability.
    • Mallows Model for distance-based ranking.
    • Kemeny Model for median ranking.
  • Voting-Based Models, such as:
    • Condorcet Model for majority preference.
    • Borda Count Model for position scoring.
  • ...
• Counter-Examples:
  • Individual Preference Model, which lacks aggregation.
  • Absolute Rating Model, which avoids relative comparison.
  • Random Ranking Model, which ignores preference structure.
• See: Aggregation Model, Bradley-Terry Model, Thurstone Preference Model, Pairwise Preference Method, Human Parity Metric, Statistical Evaluation Model, Ranking Algorithm, Social Choice Theory.

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