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Establishing the existence of a distance-based upper bound for a fuzzy DEA model using duality

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  • Soleimani-damaneh, M.

Abstract

In a recent paper [Soleimani-damaneh M. Fuzzy upper bounds and their applications. Chaos, Solitons & Fractals 2008;36:217–25.], I established the existence of a distance-based fuzzy upper bound for the objective function of a fuzzy DEA model, using the properties of a discussed signed distance, and provided an effective approach to solve that model. In this paper a new dual-based proof for the existence of the above-mentioned upper bound is provided which gives a useful insight into the theory of fuzzy DEA.

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  • Soleimani-damaneh, M., 2009. "Establishing the existence of a distance-based upper bound for a fuzzy DEA model using duality," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 485-490.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:485-490
    DOI: 10.1016/j.chaos.2008.02.012
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    1. El Naschie, M.S., 2005. "From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 969-977.
    2. Soleimani-damaneh, M., 2008. "Fuzzy upper bounds and their applications," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 217-225.
    3. El Naschie, M.S., 2006. "On two new fuzzy Kähler manifolds, Klein modular space and ’t Hooft holographic principles," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 876-881.
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    3. HATAMI-MARBINI, Adel & TAVANA, Madjid & EMROUZNEJAD, Ali & SAATI, Saber, 2012. "Efficiency measurement in fuzzy additive data envelopment analysis," LIDAM Reprints CORE 2393, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Ebubekir Karabacak & Hüseyin Ali Kutlu, 2024. "Evaluating the Efficiencies of Logistics Centers with Fuzzy Logic: The Case of Turkey," Sustainability, MDPI, vol. 16(1), pages 1-25, January.

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