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
:Object of class numeric
of length 1 containing the
number of elements of the set on which the Möbius transform is
defined.
k
:Object of class 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
:Object of class numeric
containing
the "k
power set" of the underlying
set in "natural" order . The subsets are encoded as integers.
data
:Object of class 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 Mobius 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)