PROMETHEE_OW {PROMETHEE}

Preference Ranking Organization METHod for the Enrichment of Evaluations with Optimal Weights

Description

Functions which can be used to support the Multicriteria Decision Analysis (MCDA) process involving multiple criteria, by a specific tool allowing joining the consolidated procedure usually employed for environmental evaluation (PROMETHEE), with a more flexible weighing process inspired by DEA

Usage

PROMETHEE_OW(dataset,PreferenceF,PreferenceT,IndifferenceT,Weights,Min_Max,S_Gauss,dir)

Arguments

dataset

A matrix with data (alternatives by row and criteria by column)

PreferenceF

A matrix with preference functions (alternatives by row and criteria by column)

PreferenceT

A matrix with preference thresholds (alternatives by row and criteria by column)

IndifferenceT

A matrix with indifference thresholds (alternatives by row and criteria by column)

Weights

A matrix with weights (alternatives by row and criteria by column)

Min_Max

A matrix that specifies whether the criteratum should be maximized or minimized (alternatives by row and criteria by column)

S_Gauss

A matrix with S Gaussians (alternatives by row and criteria by column)

dir

An element specifying whether the optimization should be "Optimistic" or "Pessimistic"

Details

Caravaggio, N., Caravella, S., Ishizaka, A., & Resce, G. (2019). Beyond CO2: a multi-criteria analysis of air pollution in Europe. Journal of Cleaner Production.

Value

Outranking

Outranking matrix (alternatives by row and criteria by column)

Nonoutranking

Non-outranking matrix (alternatives by row and criteria by column)

UnicriterionNetFlows

Unicriterion net flows matrix (alternatives by row and criteria by column)

Res

DEA weights and global score

Author(s)

Giuliano Resce, Menelaos Tasiou, Francesco Vidoli

Examples

data(Austria)

PreferenceF= matrix("Level",nrow(Austria),ncol(Austria) )
PreferenceT=matrix(0,nrow(Austria),ncol(Austria) )
IndifferenceT=matrix(0,nrow(Austria),ncol(Austria) )
Weights=matrix(1,nrow(Austria),ncol(Austria) )
Min_Max=matrix("min",nrow(Austria),ncol(Austria) )
S_Gauss=matrix(0,nrow(Austria),ncol(Austria) )

PF=PROMETHEE_OW(Austria, PreferenceF,PreferenceT,IndifferenceT,Weights,Min_Max,S_Gauss,
                "Optimistic")
PF$Res
PF=PROMETHEE_OW(Austria, PreferenceF,PreferenceT,IndifferenceT,Weights,Min_Max,S_Gauss,
                "Pessimistic")
PF$Res