# CPP.Malmquist.Beta: CPP by the Malmquist Index, using Beta PERT distributions In CPP: Composition of Probabilistic Preferences (CPP)

## Description

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

## Usage

 `1` ```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

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15``` ```# 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) ```

CPP documentation built on May 2, 2019, 1:34 p.m.