IDEAS home Printed from https://ideas.repec.org/a/wsi/ijitdm/v07y2008i01ns0219622008002867.html
   My bibliography  Save this article

A Min–Max Goal Programming Approach To Priority Derivation In Ahp With Interval Judgements

Author

Listed:
  • DIMITRIS K. DESPOTIS

    (Department of Informatics, University of Piraeus, 80 Karaoli & Dimitriou Str., Piraeus 18534, Greece)

  • DIMITRIS DERPANIS

    (Department of Informatics, University of Piraeus, 80 Karaoli & Dimitriou Str., Piraeus 18534, Greece)

Abstract

We deal with the problem of priority elicitation in the analytic hierarchy process (AHP) on the basis of imprecise pair-wise comparison judgements on decision elements. We propose a min–max goal programming formulation to derive the AHP priorities in the case that the decision maker provides preference judgements in the form of interval numbers. By applying variable transformations, we formulate a linear programming model that is capable of estimating the priorities from both consistent and inconsistent interval judgements. The proposed method is illustrated by numerical examples.

Suggested Citation

  • Dimitris K. Despotis & Dimitris Derpanis, 2008. "A Min–Max Goal Programming Approach To Priority Derivation In Ahp With Interval Judgements," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 175-182.
    • Handle: RePEc:wsi:ijitdm:v:07:y:2008:i:01:n:s0219622008002867
    DOI: 10.1142/S0219622008002867
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219622008002867
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219622008002867?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 search for a different version of it.

    Citations

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


    Cited by:

    1. Jalao, Eugene Rex & Wu, Teresa & Shunk, Dan, 2014. "An intelligent decomposition of pairwise comparison matrices for large-scale decisions," European Journal of Operational Research, Elsevier, vol. 238(1), pages 270-280.
    2. Ergu, Daji & Kou, Gang & Peng, Yi & Shi, Yong, 2011. "A simple method to improve the consistency ratio of the pair-wise comparison matrix in ANP," European Journal of Operational Research, Elsevier, vol. 213(1), pages 246-259, August.
    3. He, Chao & Zhang, Quanguo & Ren, Jingzheng & Li, Zhaoling, 2017. "Combined cooling heating and power systems: Sustainability assessment under uncertainties," Energy, Elsevier, vol. 139(C), pages 755-766.
    4. Jerzy Michnik & Artur Grabowski, 2020. "Modeling Uncertainty in the Wings Method Using Interval Arithmetic," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 221-240, January.
    5. Morteza Alaeddini & Masoud Mir-Amini, 2020. "Integrating COBIT with a hybrid group decision-making approach for a business-aligned IT roadmap formulation," Information Technology and Management, Springer, vol. 21(2), pages 63-94, June.

    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:wsi:ijitdm:v:07:y:2008:i:01:n:s0219622008002867. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijitdm/ijitdm.shtml .

    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.