Description Methods References See Also Examples

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`

.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | ```
## 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)
``` |

```
Loading required package: lpSolve
Loading required package: quadprog
Loading required package: kernlab
[1] 0.8073944
[1] 0.8073944
[1] 0
[1] 1
```

Embedding an R snippet on your website

Add the following code to your website.

For more information on customizing the embed code, read Embedding Snippets.