Non-additive measure and integral manipulation functions

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Documentation for package ‘kappalab’ version 0.4-3

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A C E F G H I K L M N O P R S T U V Z

-- A --

additive.capacity Create objects representing the Möbius transform of a set function.
as.capacity Coercion method
as.capacity,card.capacity-method Coercion method
as.capacity,set.func-method Coercion method
as.capacity-methods Coercion method
as.card.capacity Coercion method
as.card.capacity,capacity-method Coercion method
as.card.capacity,card.set.func-method Coercion method
as.card.capacity-methods Coercion method
as.card.game Coercion method
as.card.game,card.set.func-method Coercion method
as.card.game,game-method Coercion method
as.card.game-methods Coercion method
as.card.set.func Coercion method
as.card.set.func,Mobius.card.set.func-method Coercion method
as.card.set.func,Mobius.set.func-method Coercion method
as.card.set.func,set.func-method Coercion method
as.card.set.func-methods Coercion method
as.game Coercion method
as.game,card.game-method Coercion method
as.game,set.func-method Coercion method
as.game-methods Coercion method
as.Mobius.capacity Coercion method
as.Mobius.capacity,Mobius.set.func-method Coercion method
as.Mobius.capacity-methods Coercion method
as.Mobius.card.set.func Coercion method
as.Mobius.card.set.func,card.set.func-method Coercion method
as.Mobius.card.set.func,Mobius.set.func-method Coercion method
as.Mobius.card.set.func,set.func-method Coercion method
as.Mobius.card.set.func-methods Coercion method
as.Mobius.game Coercion method
as.Mobius.game,Mobius.set.func-method Coercion method
as.Mobius.game-methods Coercion method
as.Mobius.set.func Coercion method
as.Mobius.set.func,card.set.func-method Coercion method
as.Mobius.set.func,Mobius.card.set.func-method Coercion method
as.Mobius.set.func,set.func-method Coercion method
as.Mobius.set.func-methods Coercion method
as.set.func Coercion method
as.set.func,card.set.func-method Coercion method
as.set.func,Mobius.card.set.func-method Coercion method
as.set.func,Mobius.set.func-method Coercion method
as.set.func-methods Coercion method

-- C --

capacity Create objects of class "set.func", "game", or "capacity".
capacity-class Class "capacity"
card.capacity Create objects representing cardinal set functions.
card.capacity-class Class "card.capacity"
card.game Create objects representing cardinal set functions.
card.game-class Class "card.game"
card.set.func Create objects representing cardinal set functions.
card.set.func-class Class "card.set.func"
cdf.Choquet.unif Distribution of the Choquet integral for evaluations uniformly distributed on the unit hypercube
cdf.Choquet.unif,game,numeric-method Distribution of the Choquet integral for evaluations uniformly distributed on the unit hypercube
cdf.Choquet.unif-methods Distribution of the Choquet integral for evaluations uniformly distributed on the unit hypercube
Choquet.integral Choquet integral
Choquet.integral,card.game,numeric-method Choquet integral
Choquet.integral,game,numeric-method Choquet integral
Choquet.integral,Mobius.game,numeric-method Choquet integral
Choquet.integral-methods Choquet integral
conjugate The conjugate (or dual) transform
conjugate,capacity-method The conjugate (or dual) transform
conjugate,card.capacity-method The conjugate (or dual) transform
conjugate,card.set.func-method The conjugate (or dual) transform
conjugate,set.func-method The conjugate (or dual) transform
conjugate-methods The conjugate (or dual) transform

-- E --

entropy Normalized entropy of a capacity
entropy,capacity-method Normalized entropy of a capacity
entropy,card.capacity-method Normalized entropy of a capacity
entropy,Mobius.capacity-method Normalized entropy of a capacity
entropy-methods Normalized entropy of a capacity
entropy.capa.ident Unsupervised identification of a capacity from profiles
expect.Choquet.norm Expectation and standard deviation of the Choquet integral in the uniform and normal cases
expect.Choquet.norm,game-method Expectation and standard deviation of the Choquet integral in the uniform and normal cases
expect.Choquet.norm,Mobius.game-method Expectation and standard deviation of the Choquet integral in the uniform and normal cases
expect.Choquet.norm-methods Expectation and standard deviation of the Choquet integral in the uniform and normal cases
expect.Choquet.unif Expectation and standard deviation of the Choquet integral in the uniform and normal cases
expect.Choquet.unif,game-method Expectation and standard deviation of the Choquet integral in the uniform and normal cases
expect.Choquet.unif-methods Expectation and standard deviation of the Choquet integral in the uniform and normal cases

-- F --

favor Favor indices
favor,capacity-method Favor indices
favor,card.capacity-method Favor indices
favor,Mobius.capacity-method Favor indices
favor-methods Favor indices

-- G --

game Create objects of class "set.func", "game", or "capacity".
game-class Class "game"

-- H --

heuristic.ls.capa.ident Heuristic least squares capacity identification

-- I --

interaction.indices The Shapley interaction indices
interaction.indices,card.set.func-method The Shapley interaction indices
interaction.indices,Mobius.set.func-method The Shapley interaction indices
interaction.indices,set.func-method The Shapley interaction indices
interaction.indices-methods The Shapley interaction indices
is.cardinal Test method
is.cardinal,card.set.func-method Test method
is.cardinal,Mobius.set.func-method Test method
is.cardinal,set.func-method Test method
is.cardinal-methods Test method
is.kadditive Test method
is.kadditive,card.set.func,numeric-method Test method
is.kadditive,Mobius.set.func,numeric-method Test method
is.kadditive,set.func,numeric-method Test method
is.kadditive-methods Test method
is.monotone Test method
is.monotone,card.set.func-method Test method
is.monotone,Mobius.set.func-method Test method
is.monotone,set.func-method Test method
is.monotone-methods Test method
is.normalized Test method
is.normalized,capacity-method Test method
is.normalized,card.capacity-method Test method
is.normalized,Mobius.capacity-method Test method
is.normalized-methods Test method

-- K --

k.truncate.Mobius k-order truncation of the Möbius representation of a set function.
k.truncate.Mobius,Mobius.set.func,numeric-method k-order truncation of the Möbius representation of a set function.
k.truncate.Mobius,set.func,numeric-method k-order truncation of the Möbius representation of a set function.
k.truncate.Mobius-methods k-order truncation of the Möbius representation of a set function.

-- L --

least.squares.capa.ident Least squares capacity identification
lin.prog.capa.ident Capacity identification based on linear programming
lower.capacity Create objects representing cardinal set functions.
ls.ranking.capa.ident Least squares capacity identification in the framework of a ranking procedure
ls.sorting.capa.ident Least squares capacity identification in the framework of a sorting procedure
ls.sorting.treatment Least squares capacity identification in the framework of a sorting procedure: evaluation of the determined capacity

-- M --

mini.dist.capa.ident Minimum distance capacity identification
mini.var.capa.ident Minimum variance capacity identification
Mobius The Möbius transform
Mobius,capacity-method The Möbius transform
Mobius,card.set.func-method The Möbius transform
Mobius,game-method The Möbius transform
Mobius,set.func-method The Möbius transform
Mobius-methods The Möbius transform
Mobius.capacity Create objects representing the Möbius transform of a set function.
Mobius.capacity-class Class "Mobius.capacity"
Mobius.card.set.func Creates an object representing the Möbius transform of a cardinal set function.
Mobius.card.set.func-class Class "Mobius.card.set.func"
Mobius.game Create objects representing the Möbius transform of a set function.
Mobius.game-class Class "Mobius.game"
Mobius.set.func Create objects representing the Möbius transform of a set function.
Mobius.set.func-class Class "Mobius.set.func"

-- N --

normalize Normalizes a capacity.
normalize,capacity-method Normalizes a capacity.
normalize,card.capacity-method Normalizes a capacity.
normalize,Mobius.capacity-method Normalizes a capacity.
normalize-methods Normalizes a capacity.

-- O --

orness Orness degree
orness,capacity-method Orness degree
orness,card.capacity-method Orness degree
orness,Mobius.capacity-method Orness degree
orness-methods Orness degree

-- P --

pdf.Choquet.unif Distribution of the Choquet integral for evaluations uniformly distributed on the unit hypercube
pdf.Choquet.unif,game,numeric-method Distribution of the Choquet integral for evaluations uniformly distributed on the unit hypercube
pdf.Choquet.unif-methods Distribution of the Choquet integral for evaluations uniformly distributed on the unit hypercube

-- R --

rnd Rounding of set function coefficients
rnd,superclass.set.func-method Rounding of set function coefficients
rnd-methods Rounding of set function coefficients

-- S --

sd.Choquet.norm Expectation and standard deviation of the Choquet integral in the uniform and normal cases
sd.Choquet.norm,game-method Expectation and standard deviation of the Choquet integral in the uniform and normal cases
sd.Choquet.norm-methods Expectation and standard deviation of the Choquet integral in the uniform and normal cases
sd.Choquet.unif Expectation and standard deviation of the Choquet integral in the uniform and normal cases
sd.Choquet.unif,game-method Expectation and standard deviation of the Choquet integral in the uniform and normal cases
sd.Choquet.unif-methods Expectation and standard deviation of the Choquet integral in the uniform and normal cases
set.func Create objects of class "set.func", "game", or "capacity".
set.func-class Class "set.func"
Shapley.value The Shapley value
Shapley.value,card.set.func-method The Shapley value
Shapley.value,Mobius.set.func-method The Shapley value
Shapley.value,set.func-method The Shapley value
Shapley.value-methods The Shapley value
show,Mobius.set.func-method Methods for Function show in Package ‘kappalab’
show,set.func-method Methods for Function show in Package ‘kappalab’
show,summary.superclass.capacity-method Methods for Function show in Package ‘kappalab’
show,summary.superclass.set.func-method Methods for Function show in Package ‘kappalab’
show,superclass.set.func-method Methods for Function show in Package ‘kappalab’
show-methods Methods for Function show in Package ‘kappalab’
Sipos.integral Sipos integral
Sipos.integral,card.game,numeric-method Sipos integral
Sipos.integral,game,numeric-method Sipos integral
Sipos.integral,Mobius.game,numeric-method Sipos integral
Sipos.integral-methods Sipos integral
Sugeno.integral Sugeno integral
Sugeno.integral,card.game,numeric-method Sugeno integral
Sugeno.integral,game,numeric-method Sugeno integral
Sugeno.integral,Mobius.game,numeric-method Sugeno integral
Sugeno.integral-methods Sugeno integral
summary Summary method
summary,superclass.capacity-method Summary method
summary,superclass.set.func-method Summary method
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"

-- T --

to.data.frame Puts a set function under the form of a data.frame
to.data.frame,card.set.func-method Puts a set function under the form of a data.frame
to.data.frame,Mobius.card.set.func-method Puts a set function under the form of a data.frame
to.data.frame,Mobius.set.func-method Puts a set function under the form of a data.frame
to.data.frame,set.func-method Puts a set function under the form of a data.frame
to.data.frame-methods Puts a set function under the form of a data.frame

-- U --

uniform.capacity Create objects representing cardinal set functions.
upper.capacity Create objects representing cardinal set functions.

-- V --

variance Normalized variance of a capacity
variance,capacity-method Normalized variance of a capacity
variance,card.capacity-method Normalized variance of a capacity
variance,Mobius.capacity-method Normalized variance of a capacity
variance-methods Normalized variance of a capacity
veto Veto indices
veto,capacity-method Veto indices
veto,card.capacity-method Veto indices
veto,Mobius.capacity-method Veto indices
veto-methods Veto indices

-- Z --

zeta The zeta transform
zeta,Mobius.capacity-method The zeta transform
zeta,Mobius.card.set.func-method The zeta transform
zeta,Mobius.game-method The zeta transform
zeta,Mobius.set.func-method The zeta transform
zeta-methods The zeta transform