https://github.com/cran/kappalab
Tip revision: a332a7e86fee6eab7a1737fe089ffa558c0c5692 authored by Ivan Kojadinovic on 04 May 2012, 00:00:00 UTC
version 0.4-6
version 0.4-6
Tip revision: a332a7e
card.capacity.R
##############################################################################
#
# Copyright ゥ 2005 Michel Grabisch and Ivan Kojadinovic
#
# Ivan.Kojadinovic@polytech.univ-nantes.fr
#
# This software is a package for the statistical system GNU R:
# http://www.r-project.org
#
# This software is governed by the CeCILL license under French law and
# abiding by the rules of distribution of free software. You can use,
# modify and/ or redistribute the software under the terms of the CeCILL
# license as circulated by CEA, CNRS and INRIA at the following URL
# "http://www.cecill.info".
#
# As a counterpart to the access to the source code and rights to copy,
# modify and redistribute granted by the license, users are provided only
# with a limited warranty and the software's author, the holder of the
# economic rights, and the successive licensors have only limited
# liability.
#
# In this respect, the user's attention is drawn to the risks associated
# with loading, using, modifying and/or developing or reproducing the
# software by the user in light of its specific status of free software,
# that may mean that it is complicated to manipulate, and that also
# therefore means that it is reserved for developers and experienced
# professionals having in-depth computer knowledge. Users are therefore
# encouraged to load and test the software's suitability as regards their
# requirements in conditions enabling the security of their systems and/or
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# same conditions as regards security.
#
# The fact that you are presently reading this means that you have had
# knowledge of the CeCILL license and that you accept its terms.
#
##############################################################################
## Class card.capacity extends card.game
##############################################################################
## Constructor from numeric
card.capacity <- function(object) {
if (!is.numeric(object))
stop("wrong argument")
new("card.capacity", data = object, n = length(object) - 1)
}
## Constructor from card.set.func
setMethod("as.card.capacity", signature(object = "card.set.func"),
function(object,...) {
new("card.capacity", data = object@data, n = object@n)
}
)
## Constructor from capacity
setMethod("as.card.capacity", signature(object = "capacity"),
function(object, ...) {
csf <- as.card.set.func.internal(object)
new("card.capacity", data = csf$data, n = csf$n)
}
)
## Constructor from card.capacity
## The conjugate of a capacity is a capacity
setMethod("conjugate", signature(object = "card.capacity"),
function(object, ...) {
card.capacity(object@data[object@n+1]
- object@data[(object@n+1):1])
}
)
## Constructors for simple capacities
lower.capacity <- function(n) {
new("card.capacity", data = c(rep(0,n),1), n = n)
}
upper.capacity <- function(n) {
new("card.capacity", data = c(0,rep(1,n)), n = n)
}
uniform.capacity <- function(n) {
new("card.capacity", data = 0:n/n, n = n)
}
##############################################################################
## Tests whether the set function is normalized
setMethod("is.normalized", signature(object = "card.capacity"),
function(object,...) {
object@data[object@n+1] == 1
}
)
## Returns the normalized version of the capacity
setMethod("normalize", signature(object = "card.capacity"),
function(object,...) {
card.capacity(object@data / object@data[object@n+1])
}
)
##############################################################################
## Computes the orness of a capacity (normalized)
setMethod("orness", signature(object = "card.capacity"),
function(object, ...) {
return(sum(object@data[1:object@n])
/ ((object@n - 1)
* object@data[object@n + 1]))
}
)
## Computes the veto indices, here equal to 1 - orness
setMethod("veto", signature(object = "card.capacity"),
function(object, ...) {
result <- 1 - orness(object)
names(result) <- "All"
result
}
)
## Computes the favor indices, here equal to orness
setMethod("favor", signature(object = "card.capacity"),
function(object, ...) {
result <- orness(object)
names(result) <- "All"
result
}
)
## Computes the normalized variance of a capacity
setMethod("variance", signature(object = "card.capacity"),
function(object, ...) {
(sum(((object@data[2:(object@n+1)] -
object@data[1:object@n])/object@data[object@n+1])^2) -
1/object@n) * object@n / (object@n - 1)
}
)
## Computes the normalized entropy of a capacity
setMethod("entropy", signature(object = "card.capacity"),
function(object, ...) {
sum(sapply((object@data[2:(object@n+1)] - object@data[1:object@n])
/ object@data[object@n+1],shannon.function)) /
log(object@n)
}
)
##############################################################################