The role of multiplier bounds in fuzzy data envelopment analysis

Hatami-Marbini, Adel;Agrell, Per Joakim;Fukuyama, Hirofumi;Gholami, Kobra;Haji Mirza Hossein Khoshnevis, Pegah
(2017) Annals of Operations Research — Vol. 250, p. 249-276 (2017)

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Authors
  • Hatami-Marbini, AdelDe MontfortUniversity Leicester
    Author
  • Agrell, Per Joakimorcid-logoUCLouvain
    Author
  • Fukuyama, HirofumiFukuoka University
    Author
  • Gholami, KobraIslamic Azad University Bushehr
    Author
  • Haji Mirza Hossein Khoshnevis, PegahKU Leuven
    Author
Abstract
The non-Archimedean epsilon ε is commonly considered as a lower bound for the dual input weights and output weights in multiplier data envelopment analysis (DEA) models. The amount of ε can be effectively used to differentiate between strongly and weakly efficient decision making units (DMUs). The problem of weak dominance particularly occurs when the reference set is fully or partially defined in terms of fuzzy numbers. In this paper, we propose a new four-step fuzzy DEA method to re-shape weakly efficient frontiers along with revisiting the efficiency score of DMUs in terms of perturbing the weakly efficient frontier.
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Hatami-Marbini, A., Agrell, P. J., Fukuyama, H., Gholami, K., & Haji Mirza Hossein Khoshnevis, P. (2017). The role of multiplier bounds in fuzzy data envelopment analysis. Annals of Operations Research, 250, 249-276. https://doi.org/10.1007/s10479-017-2404-8 (Original work published 2017)