kappalab (version 0.4-0)

game-class: Class "game"

Description

Class representing a game, i.e. a set function vanishing at the empty set (also called non monotonic fuzzy measure).

Objects from the Class

Objects can be created by calls to the function game.

Extends

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

See Also

game, as.card.game-methods, Choquet.integral-methods, Mobius-methods, Sipos.integral-methods, Sugeno.integral-methods, pdf.Choquet.unif-methods, cdf.Choquet.unif-methods, expect.Choquet.unif-methods, sd.Choquet.unif-methods, expect.Choquet.norm-methods, sd.Choquet.norm-methods.

Examples

## a game (which is a capacity)
mu <- game(c(0,rep(1,15)))

## the attributes of the object
mu@n
mu@data
mu@subsets

## a conversion
as.card.game(mu)

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

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