CPP.Malmquist.Beta {CPP}

CPP by the Malmquist Index, using Beta PERT distributions

Description

The CPP-Malmquist is used to dynamic evaluation of alternatives, in multicriteria problems, considering two different moments.

Usage

CPP.Malmquist.Beta(m1, m2, s)

Arguments

m1

Decision matrix of Alternatives (rows) and Criteria (columns) in moment '1'. Benefit criteria must be positive and cost criteria must be negative.

m2

Decision matrix of Alternatives (rows) and Criteria (columns) in the following moment '2'. Benefit criteria must be positive and cost criteria must be negative.

s

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

Value

MC gives the Malmquist Conservative index. MP gives the Malmquist Progressive index. Finally, Index gives the CPP-Malmquist of all alternatives and their rankings for decisionmaking. The indices greater than one represent a relative evolution of the alternative between the two periods, while the indices lower than one reveal the alternatives that decreased performance in relation to the others.

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)
m1 = rbind(Alt.1,Alt.2,Alt.3,Alt.4,Alt.5) # Decision matrix of the previous moment '1'.
Alt.1 = c(3,29,82,-3)
Alt.2 = c(6,28,70,-8)
Alt.3 = c(2,20,99,-8)
Alt.4 = c(5,31,62,-14)
Alt.5 = c(9,27,73,-5)
m2 = rbind(Alt.1,Alt.2,Alt.3,Alt.4,Alt.5) # Decision matrix of the following moment '2'.
s = 4 # Shape
CPP.Malmquist.Beta(m1,m2,s)