Multicriteria decision analysis with minimum information: combining DEA with MAVT

In this paper we use some basic principles from data envelopment analysis (DEA) in order to extract the necessary information for solving a multicriteria decision analysis (MCDA) problem. The proposed method (enhanced alternative cross-evaluation, ACE+) is appropriate when either the decision maker is unwilling (or hardly available) to provide information, or there are several decision makers, each one supporting his/her own option. It is similar to the AXE method of Doyle, but it goes one step further: each alternative uses its most favourable weights (as in AXE) and its most favourable value functions in order to perform a self evaluation, according to multi attribute value theory (MAVT). These self-evaluations are averaged in order to derive the overall peer-evaluation for each alternative. The minimum information required from the decision maker is to define the weight interval for each criterion. Beside the peer evaluation and the final rating of the alternatives, the method provides useful conclusions for the sensitivity analysis of the results.

[1]  W. Cook,et al.  Preference voting and project ranking using DEA and cross-evaluation , 1996 .

[2]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[3]  Zilla Sinuany-Stern,et al.  Review of ranking methods in the data envelopment analysis context , 2002, Eur. J. Oper. Res..

[4]  W. Cooper,et al.  Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software , 1999 .

[5]  J. Doyle,et al.  Multiattribute Choice for the Lazy Decision Maker: Let the Alternatives Decide! , 1995 .

[6]  R. L. Keeney,et al.  Decisions with Multiple Objectives: Preferences and Value Trade-Offs , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[7]  Theodor J. Stewart,et al.  Multiple criteria decision analysis - an integrated approach , 2001 .

[8]  Rodney H. Green,et al.  Data envelopment analysis and multiple criteria decision making , 1993 .

[9]  Theodor J. Stewart Data envelopment analysis and multiple criteria decision making: A response , 1994 .

[10]  Joseph Sarkis,et al.  A comparative analysis of DEA as a discrete alternative multiple criteria decision tool , 2000, Eur. J. Oper. Res..

[11]  W. Edwards,et al.  Decision Analysis and Behavioral Research , 1986 .

[12]  Valerie Belton,et al.  Demystifying DEA — A Visual Interactive Approach Based on Multiple Criteria Analysis , 1993 .

[13]  Theodor J. Stewart,et al.  Relationships between Data Envelopment Analysis and Multicriteria Decision Analysis , 1996 .

[14]  Emmanuel Thanassoulis,et al.  Introduction to the Theory and Application of Data Envelopment Analysis: A Foundation Text with Integrated Software , 2001 .

[15]  Richard H. Silkman,et al.  Measuring efficiency : an assessment of data envelopment analysis , 1986 .

[16]  Emmanuel Thanassoulis,et al.  Introduction to the theory and application of data envelopment analysis , 2001 .

[17]  Muhittin Oral,et al.  A methodology for collective evaluation and selection of industrial R&D projects , 1991 .

[18]  Denis Bouyssou,et al.  Using DEA as a tool for MCDM: some remarks , 1999, J. Oper. Res. Soc..

[19]  Rodney H. Green,et al.  Efficiency and Cross-efficiency in DEA: Derivations, Meanings and Uses , 1994 .

[20]  A. Charnes,et al.  Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis , 1984 .

[21]  Kaoru Tone,et al.  Data Envelopment Analysis , 1996 .

[22]  篠原 正明,et al.  William W.Cooper,Lawrence M.Seiford,Kaoru Tone 著, DATA ENVELOPMENT ANALYSIS : A Comprehensive Text with Models, Applications, References and DEA-Solver Software, Kluwer Academic Publishers, 2000年, 318頁 , 2002 .

[23]  T. Sexton,et al.  Data Envelopment Analysis: Critique and Extensions , 1986 .