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Using a modified DEA model to estimate the importance of objectives. An application to agricultural economics

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Author Info
Francisco J. André () (Department of Economics, Universidad Pablo de Olavide)
Inés Herrero () (Department of Business Administration, Universidad Pablo de Olavide)
Laura Riesgo () (Department of Economics, Universidad Pablo de Olavide)

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Abstract

This paper shows a connection between Data Envelopment Analysis (DEA) and the methodology proposed by Sumpsi et al. (1997) 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 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 of the methodology by Sumpsi et al. (1997) in terms of efficiency. 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 which does not depend on any observations in the dataset. This methodology has been applied to an agricultural case study in Spain.

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File URL: http://www.upo.es/serv/bib/wps/econ0709.pdf
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File Function: First version, 2007
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Publisher Info
Paper provided by Universidad Pablo de Olavide, Department of Economics in its series Working Papers with number 07.09.

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Length: 28 pages
Date of creation: May 2007
Date of revision:
Handle: RePEc:pab:wpaper:07.09

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Related research
Keywords: Multicriteria Decision Making; Goal Programming; Weights; Preferences; Data Envelopment Analysis.;

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
Q12 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Micro Analysis of Farm Firms, Farm Households, and Farm Input Markets

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  1. 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, Blackwell Publishing, vol. 50(2), pages 286-303. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
  5. Gomez-Limon, Jose A. & Martinez, Yolanda, 2006. "Multi-criteria modelling of irrigation water market at basin level: A Spanish case study," European Journal of Operational Research, Elsevier, vol. 173(1), pages 313-336, August. [Downloadable!] (restricted)
  6. Stewart, TJ, 1994. "Data envelopment analysis and multiple criteria decision making: A response," Omega, Elsevier, vol. 22(2), pages 205-206, March. [Downloadable!] (restricted)
  7. Doyle, J & Green, R, 1993. "Data envelopment analysis and multiple criteria decision making," Omega, Elsevier, vol. 21(6), pages 713-715, November. [Downloadable!] (restricted)
  8. 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. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. 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. [Downloadable!] (restricted)
  13. P. Korhonen, 1998. "Multiple Objective Programming Support," Working Papers ir98010, International Institute for Applied Systems Analysis. [Downloadable!]
  14. Cary, J.W. & Holmes, W.E., 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. [Downloadable!]
  15. Scheel, Holger, 2001. "Undesirable outputs in efficiency valuations," European Journal of Operational Research, Elsevier, vol. 132(2), pages 400-410, July. [Downloadable!] (restricted)
  16. 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. [Downloadable!]
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