IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v41y2009i1p485-490.html

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

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077908000696
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2008.02.012?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Soleimani-damaneh, M., 2008. "Fuzzy upper bounds and their applications," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 217-225.
    2. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. repec:cor:louvrp:-2393 is not listed on IDEAS
    2. 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.
    3. 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.
    4. 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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Soleimani-damaneh, M., 2009. "Maximal flow in possibilistic networks," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 370-375.
    2. Azab Abd-Allah, M. & El-Saady, Kamal & Ghareeb, A., 2009. "(r,s)-Fuzzy F-open sets and (r,s)-fuzzy F-closed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 649-656.
    3. Sadeqi, I. & Kia, F. Solaty, 2009. "Fuzzy normed linear space and its topological structure," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2576-2589.
    4. Azab Abd-Allah, M. & El-Saady, Kamal & Ghareeb, A., 2009. "Rough intuitionistic fuzzy subgroup," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2145-2153.
    5. 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.
    6. Mursaleen, M. & Lohani, Q.M. Danish & Mohiuddine, S.A., 2009. "Intuitionistic fuzzy 2-metric space and its completion," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1258-1265.
    7. Nieto, Juan J. & Rodríguez-López, Rosana, 2006. "Bounded solutions for fuzzy differential and integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1376-1386.
    8. Alimohammady, Mohsen & Esmaeli, Abdolreza & Saadati, Reza, 2009. "Completeness results in probabilistic metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 765-769.
    9. Agop, M. & Vasilica, M., 2006. "El Naschie’s supergravity by means of the gravitational instantons synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 318-323.
    10. Khastan, A. & Ivaz, K., 2009. "Numerical solution of fuzzy differential equations by Nyström method," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 859-868.
    11. Li, Li & Liu, Xiaodong, 2009. "New approach on robust stability for uncertain T–S fuzzy systems with state and input delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2329-2339.
    12. Mursaleen, M. & Danish Lohani, Q.M., 2009. "Baire’s and Cantor’s theorems in intuitionistic fuzzy 2-metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2254-2259.
    13. El Naschie, M.S., 2007. "From symmetry to particles," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 427-430.
    14. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    15. Mursaleen, M. & Danish Lohani, Q.M., 2009. "Intuitionistic fuzzy 2-normed space and some related concepts," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 224-234.
    16. Agop, M. & Nica, P. & Ioannou, P.D. & Malandraki, Olga & Gavanas-Pahomi, I., 2007. "El Naschie’s ε(∞) space–time, hydrodynamic model of scale relativity theory and some applications," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1704-1723.
    17. Shams, M. & Vaezpour, S.M., 2009. "Best approximation on probabilistic normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1661-1667.
    18. Kılıç, Emrah, 2009. "The generalized Pell (p,i)-numbers and their Binet formulas, combinatorial representations, sums," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 2047-2063.
    19. El Naschie, M.S., 2006. "E-infinity theory—Some recent results and new interpretations," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 845-853.
    20. Deshpande, Bhavana, 2009. "Fixed point and (DS)-weak commutativity condition in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2722-2728.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:485-490. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.