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Fuzzy upper bounds and their applications

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  • Soleimani-damaneh, M.

Abstract

This paper considers the concept of fuzzy upper bounds and provides some relevant applications. Considering a fuzzy DEA model, the existence of a fuzzy upper bound for the objective function of the model is shown and an effective approach to solve that model is introduced. Some dual interpretations are provided, which are useful for practical purposes. Applications of the concept of fuzzy upper bounds in two physical problems are pointed out.

Suggested Citation

  • Soleimani-damaneh, M., 2008. "Fuzzy upper bounds and their applications," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 217-225.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:2:p:217-225
    DOI: 10.1016/j.chaos.2006.06.042
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    Cited by:

    1. Hatami-Marbini, Adel & Emrouznejad, Ali & Tavana, Madjid, 2011. "A taxonomy and review of the fuzzy data envelopment analysis literature: Two decades in the making," European Journal of Operational Research, Elsevier, vol. 214(3), pages 457-472, November.
    2. Soleimani-damaneh, M., 2009. "Maximal flow in possibilistic networks," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 370-375.
    3. 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.
    4. Hsin-Chieh Wu & Yu-Cheng Wang & Tin-Chih Toly Chen, 2020. "Assessing and Comparing COVID-19 Intervention Strategies Using a Varying Partial Consensus Fuzzy Collaborative Intelligence Approach," Mathematics, MDPI, vol. 8(10), pages 1-23, October.
    5. Liu, Shiang-Tai, 2009. "A revisit to quadratic programming with fuzzy parameters," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1401-1407.

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