Multicriteria approach to data envelopment analysis

Abstract

With the aim of making Data Envelopment Analysis (DEA) more acceptable to the managers' community, the Weights Restrictions approaches were born. They allow DEA to not dispose of any data and permit the Decision Maker (DM) to have some management over the method. The purpose of this paper is to suggest a Weights Restrictions DEA model that incorporates the DM preference. In order to perform that, we employed the MACBETH methodology as a tool to find out the bounds of the weights to be used in a Weights Restrictions approach named Virtual Weights Restrictions. Our proposal achieved an outcome that has an expressive correlation with three widely used decision-aids methodologies: the ELECTRE III, the SMART and the PROMETHEE I and II. In addition, our approach was able to join the most significant outcomes of all the above three Multicriteria decisionaids methodologies in one unique outcome.Keywords: data envelopment analysis (DEA); decision support systems; environmental studies. ResumoCom o objetivo de fazer a Análise Envoltória de Dados (DEA) mais aceitável pela comunidade gerencial, as abordagens de Restrição aos Pesos foram criadas. Estas abordagens fazem com que a DEA não descarte nenhum dado e permitem que o Decisor (DM) tenha alguma gerência sobre o método. O objetivo deste artigo é sugerir um modelo de restrição aos pesos que incorpore as preferências do DM. Para realizar isto, nós empregamos a metodologia MACBETH como ferramenta para descobrir os limites dos pesos a serem utilizados na abordagem de restrição aos pesos chamada "Restrição aos Pesos Virtuais". Nossa proposta alcançou um resultado que apresenta uma correlação expressiva com três metodologias de apoio à decisão amplamente utilizadas: o ELECTRE III, o SMART e o PROMETHEE I e II. Adicionalmente, nossa abordagem foi capaz de reunir os resultados mais significativos de todas estas três metodologias de apoio à decisão em um único resultado.Palavras-chave: análise envoltória de dados (DEA); sistemas de apoio à decisão; estudos ambientais.

Evaluating Retail Banking Service Quality and Convenience With McDa Techniques: A Case Study at the Bank Branch Level

“…Following Bana e Costa et al (1999) guidelines, we applied the MACBETH technique to our framework, considering the previously mentioned categories. For consistency purposes (Junior 2008), formulations (2) and (3) given below were also analyzed based on the experts' value judgements, i.e., , 1, 2, 3, 4, 5, 6 , , , , with ( , ) and ( , ) :…”

“…In this sense, and based on the different semantic categories C k presented before, formulation (3) states "that all of the differences allocated to one semantic preference difference category are strictly larger than those allocated to a lower category" (Bana e Costa et al 2008). Once analyzed the consistency of the decision makers' value judgements, linear programming is then applied according to (4) (Junior 2008), and an initial scale is generated and presented for discussion. and is bigger than between and , then: ) 1 ( , , , ),…”

A Multiple Criteria Framework to Evaluate Bank Branch Potential Attractiveness

“…Despite the progress that has taken place in overcoming this problem (e.g. Kaplan and norton, 2000;Suwignjo et al, 2000;Santos et al, 2002 and2008), it is recognized that there are still issues which deserve further research and discussion. the same is reported as far as trade-off procedures among criteria is concerned.…”

“…as such, based on value preferences, the technical procedure consists in allocating the difference of attractiveness between each pair of actions (a, b) ∈ X to one of the previously mentioned categories. formulations (2) and (3) are also analyzed for consistency purposes (Junior, 2008).…”

“…Based on the different semantic categories C k presented herein, formulation (3) states "that all of the differences allocated to one semantic preference difference category are strictly larger than those allocated to a lower category" (Bana e costa et al, 2008: 28). following this, and once analyzed the consistency of the experts' value judgements, a linear program that minimizes v(n) is then applied according to (4) (Junior, 2008) in order to generate an initial scale, which should be presented for discussion among decision makers.…”