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Using DEA to estimate the importance of objectives for decision makers

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Abstract

In this paper we establish further connections between DEA and Multi-criteria Decision Analysis by suggesting a particular way to estimate preference weights for different objectives using DEA. We claim that the virtual multipliers obtained from a standard DEA model are not suitable to measure the preferences of a decision maker. Our suggestion takes advantage of the parallelism between DEA and the methodology proposed by Sumpsi et al. (1997) by projecting each unit on a linear combination of the elements of the pay-off matrix. Finally, we make an application of the proposed methodology to agricultural economics in a case study with Spanish data.

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Paper provided by Centro de Estudios Andaluces in its series Economic Working Papers at Centro de Estudios Andaluces with number E2004/50.

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Length: 36 pages
Date of creation: 2004
Date of revision:
Handle: RePEc:cea:doctra:e2004_50

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Keywords: Data Envelopment Analysis; Multicriteria Decision Analysis; preferences; weights; virtual multipliers.;

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  1. Stewart, TJ, 1994. "Data envelopment analysis and multiple criteria decision making: A response," Omega, Elsevier, vol. 22(2), pages 205-206, March.
  2. 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.
  3. 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.
  4. Doyle, J & Green, R, 1993. "Data envelopment analysis and multiple criteria decision making," Omega, Elsevier, vol. 21(6), pages 713-715, November.
  5. 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.
  6. Arriaza Balmon, 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.
  7. Costa, F. P. & Rehman, T., 1999. "Exploring the link between farmers' objectives and the phenomenon of pasture degradation in the beef production systems of Central Brazil," Agricultural Systems, Elsevier, vol. 61(2), pages 135-146, August.
  8. P. Korhonen, 1998. "Multiple Objective Programming Support," Working Papers ir98010, International Institute for Applied Systems Analysis.
  9. Cary, John W. & Holmes, Bill, 1982. "Relationships Among Farmers' Goals And Farm Adjustment Strategies: Some Empirics Of A Multidimensional Approach," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 26(02), August.
  10. 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.
  11. Amador, Francisco & Sumpsi, Jose Maria & Romero, Carlos, 1998. "A Non-interactive Methodology to Assess Farmers' Utility Functions: An Application to Large Farms in Andalusia, Spain," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 25(1), pages 92-109.
  12. 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.
  13. Scheel, Holger, 2001. "Undesirable outputs in efficiency valuations," European Journal of Operational Research, Elsevier, vol. 132(2), pages 400-410, July.
  14. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
  15. José A. Gómez-Limón & Manuel Arriaza & Julio Berbel, 2002. "Conflicting Implementation of Agricultural and Water Policies in Irrigated Areas in the EU," Journal of Agricultural Economics, Wiley Blackwell, vol. 53(2), pages 259-281.
  16. 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.
  17. 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.
  18. Sumpsi, JoseMaria & Amador, Francisco & Romero, Carlos, 1997. "On farmers' objectives: A multi-criteria approach," European Journal of Operational Research, Elsevier, vol. 96(1), pages 64-71, January.
  19. Thanassoulis, E. & Dyson, R. G., 1992. "Estimating preferred target input-output levels using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 56(1), pages 80-97, January.
  20. 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.
  21. 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.
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