Electre_tri: ELECTRE TRI Method

In OutrankingTools: Functions for Solving Multiple-criteria Decision-making Problems

Description

The Electre Tri is a multiple criteria decision aiding method, designed to deal with sorting problems. Electre Tri method has been developed by LAMSADE (Paris-Dauphine University, Paris, France).

Usage

Electre_tri(performanceMatrix,
				alternatives,
				profiles,
				profiles_names,
				criteria,
				minmaxcriteria,
				criteriaWeights,
				IndifferenceThresholds,
				PreferenceThresholds,
				VetoThresholds,
				lambda = NULL)

Arguments

performanceMatrix	Matrix or data frame containing the performance table. Each row corresponds to an alternative, and each column to a criterion. Rows (resp. columns) must be named according to the IDs of the alternatives (resp. criteria).
alternatives	Vector containing names of alternatives, according to which the data should be filtered.
profiles	Matrix containing, in each row, the lower profiles of the categories. The columns are named according to the criteria, and the rows are named according to the categories. The index of the row in the matrix corresponds to the rank of the category.
profiles_names	Vector containing profiles'names
criteria	Vector containing names of criteria, according to which the data should be filtered.
minmaxcriteria	criteriaMinMax Vector containing the preference direction on each of the criteria. "min" (resp."max") indicates that the criterion has to be minimized (maximized).
criteriaWeights	Vector containing the weights of the criteria.
IndifferenceThresholds	Vector containing the indifference thresholds constraints defined for each criterion.
PreferenceThresholds	Vector containing the preference thresholds constraints defined for each criterion.
VetoThresholds	Vector containing the veto thresholds constraints defined for each criterion
lambda	The lambda-cutting lambda- should be in the range 0.5 and 1.0) level indicates how many of the criteria have to be fulfilled in order to assign an alternative to a specific category. Default value=0.75

Author(s)

Michel Prombo <[e-mail]>

References

Mousseau V., Slowinski R., "Inferring an ELECTRE TRI Model from Assignment Examples", Journal of Global Optimization, vol. 12, 1998, 157-174. Mousseau V., Figueira J., NAUX J.P, "Using assignment examples to infer weights for ELECTRE TRI method : Some experimental results", Universite de Paris Dauphine, cahier du Lamsade n 150, 1997, Mousseau V., Slowinski R., Zielniewicz P. : "ELECTRE TRI 2.0a, User documentation", Universite de Paris-Dauphine, Document du LAMSADE no 111

Examples

# the performance table

performanceMatrix <- cbind(
c(-120.0,-150.0,-100.0,-60,-30.0,-80,-45.0),
c(-284.0,-269.0,-413.0,-596,-1321.0,-734,-982.0),				
c(5.0,2.0,4.0,6,8.0,5,7.0),					
c(3.5,4.5,5.5,8,7.5,4,8.5),		
c(18.0,24.0,17.0,20,16.0,21,13.0)
)
# Vector containing names of alternatives

alternatives <- c("a1","a2","a3","a4","a5","a6","a7")

# Vector containing names of criteria

criteria <- c( "g1","g2","g3","g4","g5")
criteriaWeights <- c(0.25,0.45,0.10,0.12,0.08)

# vector indicating the direction of the criteria evaluation .

minmaxcriteria <- c("max","max","max","max","max")

# Matrix containing the profiles.

profiles <- cbind(c(-100,-50),c(-1000,-500),c(4,7),c(4,7),c(15,20))

#  vector defining profiles' names

profiles_names <-c("b1","b2")

# thresholds vector
IndifferenceThresholds <- c(15,80,1,0.5,1)
PreferenceThresholds <- c(40,350,3,3.5,5)
VetoThresholds <- c(100,850,5,4.5,8)

# Testing

Electre_tri(performanceMatrix,
			alternatives,
			profiles,
			profiles_names,
			criteria,
			minmaxcriteria,
			criteriaWeights,
			IndifferenceThresholds,
			PreferenceThresholds,
			VetoThresholds,
			lambda=NULL)

OutrankingTools documentation built on May 2, 2019, 1:06 p.m.