A modified DEA model to estimate the importance of objectives with an application to agricultural economics
This paper demonstrates a connection between data envelopment analysis (DEA) and a non-interactive elicitation method to estimate the weights of objectives for decision-makers in a multiple attribute approach. This connection gives rise to a modified DEA model that allows us to estimate not only efficiency measures but also preference weights by radially projecting each unit onto a linear combination of the elements of the payoff matrix (which is obtained by standard multicriteria methods). For users of multiple attribute decision analysis the basic contribution of this paper is a new interpretation in terms of efficiency of the non-interactive methodology employed to estimate weights in a multicriteria approach. We also propose a modified procedure to calculate an efficient payoff matrix and a procedure to estimate weights through a radial projection rather than a distance minimization. For DEA users, we provide a modified DEA procedure to calculate preference weights and efficiency measures that does not depend on any observations in the dataset. This methodology has been applied to an agricultural case study in Spain.
Volume (Year): 38 (2010)
Issue (Month): 5 (October)
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- Yao Chen, 2005. "On Preference Structure In Data Envelopment Analysis," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 411-431.
- John W. Cary & Bill Holmes, 1982. "Relationships Among Farmers' Goals And Farm Adjustment Strategies: Some Empirics Of A Multidimensional Approach," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 26(2), pages 114-130, 08.
- Tarja Joro & Pekka Korhonen & Jyrki Wallenius, 1998. "Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming," Management Science, INFORMS, vol. 44(7), pages 962-970, July.
- Smith, Donnie & Capstick, Daniel F., 1976. "Establishing Priorities Among Multiple Management Goals," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 8(02), December.
- Solano, C. & Leon, H. & Perez, E. & Herrero, M., 2001. "Characterising objective profiles of Costa Rican dairy farmers," Agricultural Systems, Elsevier, vol. 67(3), pages 153-179, March.
- Doyle, J & Green, R, 1993. "Data envelopment analysis and multiple criteria decision making," Omega, Elsevier, vol. 21(6), pages 713-715, November.
- Francisco, Sergio R. & Ali, Mubarik, 2006. "Resource allocation tradeoffs in Manila's peri-urban vegetable production systems: An application of multiple objective programming," Agricultural Systems, Elsevier, vol. 87(2), pages 147-168, February.
- Arriaza Balmón, Manuel & Gomez-Limon, Jose A. & Upton, Martin, 2002. "Local water markets for irrigation in southern Spain: A multicriteria approach," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 46(1), March.
- Cook, Wade D. & Seiford, Lawrence M. & Zhu, Joe, 2004. "Models for performance benchmarking: measuring the effect of e-business activities on banking performance," Omega, Elsevier, vol. 32(4), pages 313-322, August.
- Bougnol, M.-L. & Dulá, J.H. & Estellita Lins, M.P. & Moreira da Silva, A.C., 2010. "Enhancing standard performance practices with DEA," Omega, Elsevier, vol. 38(1-2), pages 33-45, February.
- Joyce Willock & Ian J. Deary & Gareth Edwards-Jones & Gavin J. Gibson & Murray J. McGregor & Alistair Sutherland & J. Barry Dent & Oliver Morgan & Robert Grieve, 1999. "The Role of Attitudes and Objectives in Farmer Decision Making: Business and Environmentally-Oriented Behaviour in Scotland," Journal of Agricultural Economics, Wiley Blackwell, vol. 50(2), pages 286-303.
- Scheel, Holger, 2001. "Undesirable outputs in efficiency valuations," European Journal of Operational Research, Elsevier, vol. 132(2), pages 400-410, July.
- Ulucan, AydIn & BarIs AtIcI, KazIm, 2010. "Efficiency evaluations with context-dependent and measure-specific data envelopment approaches: An application in a World Bank supported project," Omega, Elsevier, vol. 38(1-2), pages 68-83, February.
- Francisco J. André, 2007.
"Indirect Elicitation of Non-Linear Multiattribute Utility Functions. A Dual Procedure Combined with DEA,"
07.02, Universidad Pablo de Olavide, Department of Economics.
- André, Francisco J., 2009. "Indirect elicitation of non-linear multi-attribute utility functions. A dual procedure combined with DEA," Omega, Elsevier, vol. 37(4), pages 883-895, August.
- Gomez-Limon, J. A. & Berbel, J., 2000. "Multicriteria analysis of derived water demand functions: a Spanish case study," Agricultural Systems, Elsevier, vol. 63(1), pages 49-72, January.
- Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
- Stewart, TJ, 1994. "Data envelopment analysis and multiple criteria decision making: A response," Omega, Elsevier, vol. 22(2), pages 205-206, March.
- Tone, Kaoru, 2001. "A slacks-based measure of efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 130(3), pages 498-509, May.
- Qureshi, M. E. & Harrison, S. R. & Wegener, M. K., 1999. "Validation of multicriteria analysis models," Agricultural Systems, Elsevier, vol. 62(2), pages 105-116, November.
- Gomez-Limon, Jose A. & Arriaza, Manuel & Riesgo, Laura, 2003. "An MCDM analysis of agricultural risk aversion," European Journal of Operational Research, Elsevier, vol. 151(3), pages 569-585, December.
- Berbel, J. & Rodriguez-Ocana, A., 1998. "An MCDM approach to production analysis: An application to irrigated farms in Southern Spain," European Journal of Operational Research, Elsevier, vol. 107(1), pages 108-118, May.
- Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
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