PMax.Normal {CPP}

Probabilities of maximization, by Normal distributions

Description

This function computes the probabilities of each alternative maximizing the preference per criterion, using Normal distributions to randomize the decision matrix.

Usage

PMax.Normal(x)

Arguments

x

Decision matrix of Alternatives (rows) and Criteria (columns). Benefit criteria must be positive and cost criteria must be negative.

Value

PMax are the joint probabilities of each alternative being higher than the others, per criterion.

References

Sant'Anna, Annibal P. (2015). Probabilistic Composition of Preferences: Theory and Applications, Springer.

Examples

# Decision matrix
Alt.1 = c(2,30,86,-5)
Alt.2 = c(4,26,77,-12)
Alt.3 = c(3,22,93,-4)
Alt.4 = c(6,34,65,-10)
Alt.5 = c(5,31,80,-8)
x = rbind(Alt.1,Alt.2,Alt.3,Alt.4,Alt.5)
PMax.Normal(x)