plautrans {dst}

Plausibility transformation of the singletons of a frame

Description

Given a mass function defined on some subsets of a frame \Theta, the application of the plausibility transformation to the singletons of \Theta yields the probability distribution associated with this mass function.

Usage

plautrans(x)

Arguments

x

A bca mass function.

Details

We compute the plausibility measure of all the singletons of the frame of discernment. The probability distribution of the singletons is obtained from their plausibility measures.

Value

The matrix of singletons with their plausibility transformation added in the last column.

Author(s)

Claude Boivin

References

Cobb, B. R. and Shenoy, P.P. (2006). On the plausibility transformation method for translating belief function models to probability models. Journal of Approximate Reasoning, 41(3), April 2006, 314–330.

Examples

 
x <- bca(tt = matrix(c(0,1,1,1,1,0,1,1,1),nrow = 3, 
byrow = TRUE), m = c(0.2,0.5, 0.3), 
cnames = c("a", "b", "c"), 
varnames = "x", idvar = 1)
plautrans(x)