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
favor-methods.Rd
\name{favor-methods}
\docType{methods}
\alias{favor}
\alias{favor-methods}
\alias{favor,Mobius.capacity-method}
\alias{favor,capacity-method}
\alias{favor,card.capacity-method}
\title{Favor indices}
\description{Computes the favor indices of a Choquet integral from the
underlying \bold{normalized} capacity. The capacity can be given either under the form
of an object of class \code{capacity}, \code{card.capacity} or
\code{Mobius.capacity}.
}
\section{Methods}{
\describe{
\item{object = "Mobius.capacity" }{The favor indices are computed from
the \enc{M—bius}{Mobius} transform of a capacity.}
\item{object = "capacity" }{The favor indices are computed directly from a capacity.}
\item{object = "card.capacity" }{The favor indices are computed from a cardinal capacity.}
}}
\references{
J.-L. Marichal (2000), \emph{Behavioral analysis of aggregation in
multicriteria decision aid}, in: Preferences and Decisions under
Incomplete Knowledge, J. Fodor and B. De Baets and P. Perny Eds,
Physica-Verlag, pages 153-178.
J.-L. Marichal (2004), \emph{Tolerant or intolerant character of
interacting criteria in aggregation by the Choquet integral},
European Journal of Operational Research 155:3, pages 771-791.
}
\seealso{
\code{\link{capacity-class}}, \cr \code{\link{Mobius.capacity-class}},
\cr \code{\link{card.capacity-class}}, \cr \code{\link{Mobius-methods}}.
}
\examples{
## a capacity
mu <- capacity(c(0:13,13,13))
## its Mobius transform
a <- Mobius(mu)
## their favor indices
favor(mu)
favor(a)
## the same with a card.capacity object
mu <- lower.capacity(4)
favor(mu)
}
\keyword{methods}
%\keyword{ ~~ other possible keyword(s)}