entropy-methods {kappalab} | R Documentation |
Computes the normalized entropy of a capacity. The capacity
can be given either under the form of an object of class
capacity
, card.capacity
or Mobius.capacity
.
The normalized entropy is computed from the Möbius transform of a capacity.
The normalized entropy is computed directly from a capacity.
The normalized entropy is computed from a cardinal capacity.
J-L. Marichal (2002), Entropy of discrete Choquet capacities, European Journal of Operational Research, 3:137, 2002, pages 612-624.
I. Kojadinovic, J-L. Marichal and M. Roubens (2005), An axiomatic approach to the definition of the entropy of a discrete Choquet capacity, Information Sciences 172, pages 131-153.
capacity-class
,
Mobius.capacity-class
,
card.capacity-class
,
Mobius-methods
.
## a capacity mu <- capacity(c(0,0,0:13)) ## its Mobius transform a <- Mobius(mu) ## their normalized entropy entropy(mu) entropy(a) ## similar examples with card.capacity objects mu <- lower.capacity(4) entropy(mu) mu <- uniform.capacity(4) entropy(mu)