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 Mbius 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.
|Author||Michel Grabisch, Ivan Kojadinovic, Patrick Meyer.|
|Date of publication||2015-07-18 17:00:04|
|Maintainer||Ivan Kojadinovic <email@example.com>|
as.capacity-methods: Coercion method
as.card.capacity-methods: Coercion method
as.card.game-methods: Coercion method
as.card.set.func-methods: Coercion method
as.game-methods: Coercion method
as.Mobius.capacity-methods: Coercion method
as.Mobius.card.set.func-methods: Coercion method
as.Mobius.game-methods: Coercion method
as.Mobius.set.func-methods: Coercion method
as.set.func-methods: Coercion method
capacity-class: Class "capacity"
card.capacity-class: Class "card.capacity"
card.game-class: Class "card.game"
card.set.func-class: Class "card.set.func"
card.set.func.gen: Create objects representing cardinal set functions.
Choquet.integral-methods: Choquet integral
conjugate-methods: The conjugate (or dual) transform
entropy.capa.ident: Unsupervised identification of a capacity from profiles
entropy-methods: Normalized entropy of a capacity
expect.Choquet.unif-methods: Expectation and standard deviation of the Choquet integral in...
favor-methods: Favor indices
game-class: Class "game"
heuristic.ls.capa.ident: Heuristic least squares capacity identification
interaction.indices-methods: The Shapley interaction indices
is.cardinal-methods: Test method
is.kadditive-methods: Test method
is.monotone-methods: Test method
is.normalized-methods: Test method
k.truncate.Mobius-methods: k-order truncation of the M<f6>bius representation of a set...
least.squares.capa.ident: Least squares capacity identification
lin.prog.capa.ident: Capacity identification based on linear programming
ls.ranking.capa.ident: Least squares capacity identification in the framework of a...
ls.sorting.capa.ident: Least squares capacity identification in the framework of a...
ls.sorting.treatment: Least squares capacity identification in the framework of a...
mini.dist.capa.ident: Minimum distance capacity identification
mini.var.capa.ident: Minimum variance capacity identification
Mobius.capacity-class: Class "Mobius.capacity"
Mobius.card.gen: Creates an object representing the M<f6>bius transform of a...
Mobius.card.set.func-class: Class "Mobius.card.set.func"
Mobius.game-class: Class "Mobius.game"
Mobius.gen: Create objects representing the M<f6>bius transform of a set...
Mobius-methods: The M<f6>bius transform
Mobius.set.func-class: Class "Mobius.set.func"
normalize-methods: Normalizes a capacity.
orness-methods: Orness degree
pdf.Choquet.unif-methods: Distribution of the Choquet integral for evaluations...
rnd-methods: Rounding of set function coefficients
set.func-class: Class "set.func"
set.func.gen: Create objects of class "set.func", "game", or "capacity".
Shapley.value-methods: The Shapley value
show-methods: Methods for Function show in Package 'kappalab'
Sipos.integral-methods: Sipos integral
Sugeno.integral-methods: Sugeno integral
summary-methods: Summary method
summary.superclass.capacity-class: Class "summary.superclass.capacity"
summary.superclass.set.func-class: Class "summary.superclass.set.func"
superclass.capacity-class: Class "superclass.capacity"
superclass.set.func-class: Class "superclass.set.func"
to.data.frame-methods: Puts a set function under the form of a data.frame
variance-methods: Normalized variance of a capacity
veto-methods: Veto indices
zeta-methods: The zeta transform