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The role of multiplier bounds in fuzzy data envelopment analysis

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Hatami-Marbini, Adel [De MontfortUniversity Leicester] Agrell, Per Joakim [UCL] Fukuyama, Hirofumi [Fukuoka University] Gholami, Kobra [Islamic Azad University Bushehr] Haji Mirza Hossein Khoshnevis, Pegah [KU Leuven]

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.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès interdit
Publication date 2017
Language Anglais
Journal information "Annals of Operations Research" - Vol. 250, p. 249-276 (2017)
Peer reviewed yes
Publisher Springer New York LLC ((United States) New York)
issn 0254-5330
e-issn 1572-9338
Publication status Publié
Affiliation UCL - SSH/LIDAM/CORE - Center for operations research and econometrics
Links
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Bibliographic reference Hatami-Marbini, Adel ; Agrell, Per Joakim ; Fukuyama, Hirofumi ; Gholami, Kobra ; Haji Mirza Hossein Khoshnevis, Pegah. The role of multiplier bounds in fuzzy data envelopment analysis. In: Annals of Operations Research, Vol. 250, p. 249-276 (2017)
Permanent URL http://hdl.handle.net/2078.1/186603