CPP.Gini {CPP}

CPP by the Gini Index, using Beta PERT distributions

Description

The CPP by the Gini Index is used to rank alternatives by evenness of evaluations, in multicriteria decision problems.

Usage

CPP.Gini(x, s)

Arguments

x

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

s

Shape of Beta PERT distribution, as described in the package 'mc2d'. There is no default value, however the higher the shape the higher the kurtosis.

Value

PMax are the joint probabilities of each alternative being higher than the others, per criterion. CPP.Gini returns the alternatives' scores by the Gini Index and their respective preference ranks for decisionmaking.

References

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

Gaviao, Luiz O. & Lima, Gilson B.A. (2017) Support decision to player selection: an application of the CPP in soccer, Novas Edições Acadêmicas [in Portuguese].

Examples

# Alternatives' original scores
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) # Decision matrix
s = 4 # Shape
CPP.Gini(x,s)