kappalab: Non-additive measure and integral manipulation functions
Kappalab, which stands for "laboratory for capacities", is
an S4 tool box for capacity (or non-additive measure, fuzzy
measure) and integral manipulation on a finite setting. It
contains routines for handling various types of set functions
such as games or capacities. It can be used to compute several
non-additive integrals: the Choquet integral, the Sugeno
integral, and the symmetric and asymmetric Choquet integrals.
An analysis of capacities in terms of decision behavior can be
performed through the computation of various indices such as
the Shapley value, the interaction index, the orness degree,
etc. The well-known Möbius transform, as well as other
equivalent representations of set functions can also be
computed. Kappalab further contains seven capacity
identification routines: three least squares based approaches,
a method based on linear programming, a maximum entropy like
method based on variance minimization, a minimum distance
approach and an unsupervised approach grounded on parametric
entropies. The functions contained in Kappalab can for instance
be used in the framework of multicriteria decision making or
cooperative game theory.
||R (≥ 2.1.0), methods, lpSolve, quadprog, kernlab
||Michel Grabisch, Ivan Kojadinovic, Patrick Meyer.
||Ivan Kojadinovic <ivan.kojadinovic at univ-pau.fr>