dst (version 1.8.0)

plautrans: 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)

Value

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

Arguments

x

A bca mass function.

Author

Claude Boivin

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.

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)