PMin.Normal {CPP}

Probabilities of minimization, by Normal distributions

Description

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

Usage

PMin.Normal(x)

Arguments

x

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

Value

PMin are the joint probabilities of each alternative being lower 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)
PMin.Normal(x)