entropy-methods | 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`

.

- object = "Mobius.capacity"
The normalized entropy is computed from the M<f6>bius transform of a capacity.

- object = "capacity"
The normalized entropy is computed directly from a capacity.

- object = "card.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)

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