| capacity-class {kappalab} | R Documentation |
Class representing a capacity, i.e. a monotone set function vanishing at the empty set (also called fuzzy measure, non-additive measure, monotone measure).
Objects can be mainly created by calls
to the functions capacity and entropy.capa.ident.
n:numeric of length 1 equal to the
number of elements of the set on which the capacity is defined.subsets:numeric of length
2^n containing the power set of the underlying set in
"natural" order. The subsets are coded as integers.data:numeric of length
2^n containing the coefficients of the capacity in binary
order. We necessarily have data[1] = 0 plus some additional monotonicity
constraints.
Class game, directly.
Class superclass.capacity, directly.
Class set.func, by class game.
Class superclass.set.func, by class game.
signature(object = "capacity")signature(object = "capacity")signature(object = "capacity")signature(object = "capacity")signature(object = "capacity")signature(object = "capacity")signature(object = "capacity")signature(object = "capacity")signature(object = "capacity")signature(object = "capacity")
capacity,
entropy.capa.ident,
as.card.capacity-methods,
conjugate-methods,
entropy-methods,
favor-methods,
is.normalized-methods,
normalize-methods,
Mobius-methods,
orness-methods,
variance-methods,
veto-methods.
## a capacity mu <- capacity(c(0:13,13,13)/13) ## the attributes of the object mu@n mu@data mu@subsets ## a test is.normalized(mu) normalize(mu) ## a conversion that should not work ## as.card.capacity(mu) ## some transformations conjugate(mu) Mobius(mu) ## let us check ... zeta(Mobius(mu)) ## some summary indices orness(mu) veto(mu) favor(mu) variance(mu) entropy(mu) ## the same summary(mu)