Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (6): 1376-1380.

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Multiobjective DEA models with controllable and uncontrollable factors

WANG Xiao-min1,2, KONG Peng-zhi1,2   

  1. 1. Dept. of Math., Shanghai Jiaotong Univ., Shanghai 200240, China;
    2. Antai Coll. of Economics & Management, Shanghai Jiaotong Univ., Shanghai 200240, China
  • Received:2008-04-12 Revised:2009-09-04 Online:2009-06-20 Published:2010-01-03

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Abstract: A multiobjective DEA model and its dual through weighting coefficients are put forward for the system with partial controllable and partial uncontrollable input and output factors.The multobjective DEA efficiency for a decision making unit is defined and investigated.Some Pareto efficient solutions are also suggested and their equivalent relationships with multobjective DEA efficiency are established.A new multobjective DEA efficient unit,which is called a projection,can be got by projecting the unit onto the production foreland.The projection can be adjusted by changing the weighting coefficients.

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