| Mobius.capacity-class {kappalab} | R Documentation |
Class representing the Möbius transform of a capacity.
Objects can be mainly created by calls
to the functions Mobius.capacity,
mini.var.capa.ident,
ls.sorting.capa.ident,
and least.squares.capa.ident.
n:numeric of length 1 containing the
number of elements of the set on which the Möbius transform is
defined. k:numeric of length 1 containg the order of
truncation of the Möbius transform: the value of subsets whose cardinal is
superior to k is put to zero.subsets:numeric containing
the "k power set" of the underlying
set in "natural" order . The subsets are encoded as integers.data:numeric of length
choose(n,0) + ... + choose(n,k) representing the
coefficients of a truncated Möbius transform of a capacity in "natural" order.
Class Mobius.game, directly.
Class superclass.capacity, directly.
Class Mobius.set.func, by class Mobius.game.
Class superclass.set.func, by class Mobius.game.
signature(object = "Mobius.capacity") signature(object = "Mobius.capacity") signature(object = "Mobius.capacity") signature(object = "Mobius.capacity") signature(object = "Mobius.capacity") signature(object = "Mobius.capacity") signature(object = "Mobius.capacity") signature(object = "Mobius.capacity")
capacity-class,
entropy-methods,
favor-methods,
is.normalized-methods,
orness-methods,
variance-methods,
veto-methods,
zeta-methods,
mini.var.capa.ident,
least.squares.capa.ident,
ls.sorting.capa.ident.
## a capacity mu <- capacity(c(0,0,0:13)) ## and its Möbius representation a <- Mobius(mu) a # the attributes of object a a@n a@k a@data a@subsets ## a test is.normalized(a) ## normalize it normalize(a) ## a transformation zeta(a) ## Let us check ... Mobius(zeta(a)) ## some summary indices orness(a) veto(a) favor(a) variance(a) entropy(a) ## the same summary(a)