Mobius.card.set.func

Creates objects of class <code>Mobius.card.set.func</code>: from
 an object of class <code>numeric</code>.

math

S4 tool box for capacity (or non-additive measure, fuzzy measure) and integral manipulation in 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 based on parametric entropies. The functions contained in Kappalab can for instance be used in the framework of multicriteria decision making or cooperative game theory.

Ivan Kojadinovic

kappalab

Non-Additive Measure and Integral Manipulation Functions

Mobius.card.set.func function

<dl> <dt>object</dt>
<dd>An object of class <code>numeric</code> containing the
 coefficients of the cardinal Möbius representation. The coefficient
 at position <code>k</code> corresponds to the value of the cardinal
 Möbius representation for subsets of size <code>k</code>.</dd></dl>

Arguments

Creates an object representing the Möbius transform of a cardinal set function. — Mobius.card.set.func

<dl>

 <dt>object</dt>
<dd>An object of class <code>numeric</code> containing the
 coefficients of the cardinal Möbius representation. The coefficient
 at position <code>k</code> corresponds to the value of the cardinal
 Möbius representation for subsets of size <code>k</code>.</dd>

</dl>

Mobius.card.set.func: Creates an object representing the Möbius transform of a cardinal set function.

Description

Usage

Value

Arguments

See Also

Examples