PMax.Beta {CPP} | R Documentation |

## Probabilities of maximization, by Beta PERT distributions

### Description

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

### Usage

```
PMax.Beta(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 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

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)
s = 4 # Shape
PMax.Beta(x,s)
```

[Package

*CPP*version 0.1.0 Index]