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A new parallel fuzzy data envelopment analysis model for parallel systems with two components based on Stackelberg game theory

Author

Listed:
  • Xiao Shi

    (Shandong University of Finance and Economics)

  • Ali Emrouznejad

    (Aston University)

  • Minyue Jin

    (University of Science and Technology of China)

  • Feng Yang

    (University of Science and Technology of China)

Abstract

This paper investigates the problem of efficiency measurement for parallel systems with two components based on Stackelberg game theory, while some inputs/outputs are fuzzy numbers. Conventional DEA models treat DMUs as “Black Boxes”. While in this paper, we propose a new parallel fuzzy DEA model to calculate the efficiency scores for each DMU’s whole system and its sub-systems. Through the Stackelberg (leader–follower) game theory, the whole system’s efficiency score of each DMU is decomposed into a set of efficiency scores for its sub-systems. This approach is independent of the $$ \alpha $$ α -cut which reduces the computational efforts. In order to show our method, we use the data from Beasley (J Oper Res Soc 46(4):441–452, 1995) to measure the fuzzy efficiency of the teaching and research efficiencies of chemistry departments in UK universities.

Suggested Citation

  • Xiao Shi & Ali Emrouznejad & Minyue Jin & Feng Yang, 2020. "A new parallel fuzzy data envelopment analysis model for parallel systems with two components based on Stackelberg game theory," Fuzzy Optimization and Decision Making, Springer, vol. 19(3), pages 311-332, September.
    • Handle: RePEc:spr:fuzodm:v:19:y:2020:i:3:d:10.1007_s10700-020-09320-1
    DOI: 10.1007/s10700-020-09320-1
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    References listed on IDEAS

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