A DEA-inspired procedure for the aggregation of preferences

Authors:
I. Contreras
Affiliations:
Department of Economy, Quantitative Methods and Economic History, Pablo de Olavide University, Spain
Venue:
Expert Systems with Applications: An International Journal
Year:
2011

Citing 3
Cited 1

A data envelopment model for aggregating preference rankings

Management Science
A procedure for ranking efficient units in data envelopment analysis

Management Science
Selecting the most preferable alternatives in a group decision making problem using DEA

Expert Systems with Applications: An International Journal

Ranking alternatives in a preferential voting system using fuzzy concepts and data envelopment analysis

Computers and Industrial Engineering

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Abstract

Among the most commonly applied methods for the aggregation of individual preferences, weighted scoring rules associate each alternative with a weighted sum of votes received and then rank them in terms of this aggregate value. Some authors have argued that it is not possible to fairly evaluate a set of alternatives by only considering an externally imposed weight scheme. For this reason, researchers have developed certain procedures in which the weights associated with the votes become variables in the model. Data Envelopment Analysis (DEA) represents one class of such models. In this paper, I propose a new preference-aggregation procedure. The procedure maintains the philosophy inherent in DEA, allowing each alternative to have its own vector of weights, but also introduces a new objective in the evaluation, the optimisation of the rank position in which the alternative is placed, and to avoid the problem of diverse weights by determining a social ranking that uses a common vector of weights.