kappalab (version 0.4-0)

Mobius.game-class: Class "Mobius.game"

Description

Class representing the M�bius{Mobius} transform of a game.

Objects from the Class

Objects can be created by calls to the function Mobius.game.

Extends

Class Mobius.set.func, directly. Class superclass.set.func, by class Mobius.set.func.

See Also

game-class, Mobius.game, Choquet.integral-methods, Sipos.integral-methods, Sugeno.integral-methods, zeta-methods, expect.Choquet.norm-methods.

Examples

## a game (which is a capacity)
mu <- game(c(0,rep(1,15)))
## and its M�bius representation
a <- Mobius(mu)

# the attributes of object a
a@n
a@k
a@data
a@subsets

## a transformation
zeta(a)
## let us check ...
Mobius(zeta(a))

## integral calculations 
f <- c(0.2,0.3,0.1,0.7)
Choquet.integral(a,f)
Sugeno.integral(a,f)
f <- c(0.2,-0.3,0.1,-0.7)
Sipos.integral(a,f)