Kappalab: Functions for Non-Additive Measure and Integral Manipulation

Kappalab is a software toolbox for manipulating capacities and non-additive integrals in a finite setting. It contains routines for handling set functions, computing integrals like Choquet and Sugeno, and analyzing capacities through indices such as the Shapley value. The toolbox was authored by Michel Grabisch, Ivan Kojadinovic, and Patrick Meyer.

Use Cases

• Compute the Choquet or Sugeno integral for decision analysis based on the described integral functions.
• Analyze decision behavior through indices like the Shapley value and interaction index mentioned in the description.
• Transform set functions using the Möbius transform or other equivalent representations the toolbox provides.
• Identify capacities using one of the seven described routines, such as least squares or linear programming methods.

Strengths

• Implements multiple non-additive integrals, including Choquet and Sugeno integrals.
• Provides seven distinct capacity identification routines, such as least squares and maximum entropy methods.
• Includes analysis tools for various indices like the Shapley value and interaction index.

Limitations

• Column-level documentation is absent; field semantics must be inferred after download.
• Row count is unknown, which may limit suitability assessment.
• Last update date is unknown; freshness unverified.

Provenance

Source

Michel Grabisch, Ivan Kojadinovic, Patrick Meyer.

Collection Method

Software toolbox for mathematical computation.