https://github.com/cran/kappalab
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Tip revision: 1772ed4dc7fdf695b555b4a6e13aacea605d59c9 authored by Ivan Kojadinovic on 26 January 2009, 00:00:00 UTC
version 0.4-4
Tip revision: 1772ed4
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)}
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