R: Non-Additive Measure and Integral Manipulation Functions

# Non-Additive Measure and Integral Manipulation Functions

## Documentation for package ‘kappalab’ version 0.4-12

- DESCRIPTION file

## Help Pages

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-method | Coercion method
as.capacity-methods | Coercion method
as.card.capacity | Coercion method
as.card.capacity-method | Coercion method
as.card.capacity-methods | Coercion method
as.card.game | Coercion method
as.card.game-method | Coercion method
as.card.game-methods | Coercion method
as.card.set.func | Coercion method
as.card.set.func-method | Coercion method
as.card.set.func-methods | Coercion method
as.game | Coercion method
as.game-method | Coercion method
as.game-methods | Coercion method
as.Mobius.capacity | Coercion method
as.Mobius.capacity-method | Coercion method
as.Mobius.capacity-methods | Coercion method
as.Mobius.card.set.func | Coercion method
as.Mobius.card.set.func-method | Coercion method
as.Mobius.card.set.func-methods | Coercion method
as.Mobius.game | Coercion method
as.Mobius.game-method | Coercion method
as.Mobius.game-methods | Coercion method
as.Mobius.set.func | Coercion method
as.Mobius.set.func-method | Coercion method
as.Mobius.set.func-methods | Coercion method
as.set.func | Coercion method
as.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-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-method | Choquet integral
Choquet.integral-methods | Choquet integral
conjugate | The conjugate (or dual) transform
conjugate-method | The conjugate (or dual) transform
conjugate-methods | The conjugate (or dual) transform

## -- E --

entropy | Normalized entropy of a capacity
entropy-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-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-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-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-method | The Shapley interaction indices
interaction.indices-methods | The Shapley interaction indices
is.cardinal | Test method
is.cardinal-method | Test method
is.cardinal-methods | Test method
is.kadditive | Test method
is.kadditive-method | Test method
is.kadditive-methods | Test method
is.monotone | Test method
is.monotone-method | Test method
is.monotone-methods | Test method
is.normalized | Test method
is.normalized-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-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-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-method | Normalizes a capacity.
normalize-methods | Normalizes a capacity.

## -- O --

orness | Orness degree
orness-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-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-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-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-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-method | The Shapley value
Shapley.value-methods | The Shapley value
show-method | Methods for Function show in Package 'kappalab'
show-methods | Methods for Function show in Package 'kappalab'
Sipos.integral | Sipos integral
Sipos.integral-method | Sipos integral
Sipos.integral-methods | Sipos integral
Sugeno.integral | Sugeno integral
Sugeno.integral-method | Sugeno integral
Sugeno.integral-methods | Sugeno integral
summary | Summary method
summary-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-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-method | Normalized variance of a capacity
variance-methods | Normalized variance of a capacity
veto | Veto indices
veto-method | Veto indices
veto-methods | Veto indices

## -- Z --

zeta | The zeta transform
zeta-method | The zeta transform
zeta-methods | The zeta transform