IDEAS home Printed from https://ideas.repec.org/a/igg/jdsst0/v10y2018i1p21-38.html
   My bibliography  Save this article

Comparative Performance of Contradictory and Non-Contradictory Judgement Matrices in AHP Under Qualitative and Quantitative Metrics

Author

Listed:
  • Vishal Gupta

    (BITS Pilani, Pilani, India)

Abstract

Over the years, although AHP has proved its success in various diverse fields, many authors in the literature have also shown its shortcomings, often called as criticisms of AHP. One such criticism is allowing the consideration of contradictory judgement matrices. Such matrices violate the principle of ordinal transitivity and thus there does not exist any ranking of corresponding decision elements which satisfy all the judgements. In this paper, the results of our investigation towards measuring this criticism are further explored and discussed by comparing the quality of priority vector of contradictory judgement matrices and non-contradictory judgement matrices under Rank Reversals and the common frame work of “aggregated deviation”. The results further strengthen the notion of contradictory judgement matrices as a strong criticism of AHP for higher order judgement matrices and necessitate some proper avoidance (if not elimination) procedure for them.

Suggested Citation

  • Vishal Gupta, 2018. "Comparative Performance of Contradictory and Non-Contradictory Judgement Matrices in AHP Under Qualitative and Quantitative Metrics," International Journal of Decision Support System Technology (IJDSST), IGI Global, vol. 10(1), pages 21-38, January.
    • Handle: RePEc:igg:jdsst0:v:10:y:2018:i:1:p:21-38
    as

    Download full text from publisher

    File URL: http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/IJDSST.2018010102
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Philip-Mark Spanidis & Christos Roumpos & Francis Pavloudakis, 2021. "A Fuzzy-AHP Methodology for Planning the Risk Management of Natural Hazards in Surface Mining Projects," Sustainability, MDPI, vol. 13(4), pages 1-23, February.
    2. Bing Feng & Kaiyang Sun & Min Chen & Tao Gao, 2020. "The Impact of Core Technological Capabilities of High-Tech Industry on Sustainable Competitive Advantage," Sustainability, MDPI, vol. 12(7), pages 1-15, April.
    3. Sarbast Moslem & Omid Ghorbanzadeh & Thomas Blaschke & Szabolcs Duleba, 2019. "Analysing Stakeholder Consensus for a Sustainable Transport Development Decision by the Fuzzy AHP and Interval AHP," Sustainability, MDPI, vol. 11(12), pages 1-22, June.
    4. Hadi Jahanshahi & Zahra Alijani & Sanda Florentina Mihalache, 2023. "Towards Sustainable Transportation: A Review of Fuzzy Decision Systems and Supply Chain Serviceability," Mathematics, MDPI, vol. 11(8), pages 1-19, April.

    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:igg:jdsst0:v:10:y:2018:i:1:p:21-38. 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: Journal Editor (email available below). General contact details of provider: https://www.igi-global.com .

    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.