IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v380y2020ics0096300320302423.html
   My bibliography  Save this article

Constrained consistency enforcement in AHP

Author

Listed:
  • Benítez, Julio
  • Carpitella, Silvia
  • Certa, Antonella
  • Izquierdo, Joaquín

Abstract

Decision-making in the presence of intangible elements must be based on a robust, but subtle, balance between expert know-how and judgment consistency when eliciting that know-how. This balance is frequently achieved as a trade-off reached after a feedback process softens the tension frequently found between one force steadily pulling towards (full) consistency, and another force driven by expert feeling and opinion. The linearization method, developed by the authors in the framework of the analytic hierarchy process, is a pull-towards-consistency mechanism that shows the path from an inconsistent body of judgment elicited from an expert towards consistency, by suggesting optimal changes to the expert opinions. However, experts may be reluctant to alter some of their issued opinions, and may wish to impose constraints on the adjustments suggested by the consistency-enforcement mechanism. In this paper, using the classical Riesz representation theorem, the linearization method is accommodated to consider various types of constraints imposed by experts during the abovementioned feedback process.

Suggested Citation

  • Benítez, Julio & Carpitella, Silvia & Certa, Antonella & Izquierdo, Joaquín, 2020. "Constrained consistency enforcement in AHP," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    • Handle: RePEc:eee:apmaco:v:380:y:2020:i:c:s0096300320302423
    DOI: 10.1016/j.amc.2020.125273
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300320302423
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2020.125273?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.

    References listed on IDEAS

    as
    1. Saaty, Thomas L., 2003. "Decision-making with the AHP: Why is the principal eigenvector necessary," European Journal of Operational Research, Elsevier, vol. 145(1), pages 85-91, February.
    2. Huang, Jing & Boland, John & Liu, Weidong & Xu, Chang & Zang, Haixiang, 2018. "A decision-making tool for determination of storage capacity in grid-connected PV systems," Renewable Energy, Elsevier, vol. 128(PA), pages 299-304.
    3. Ishizaka, Alessio & Siraj, Sajid, 2018. "Are multi-criteria decision-making tools useful? An experimental comparative study of three methods," European Journal of Operational Research, Elsevier, vol. 264(2), pages 462-471.
    Full references (including those not matched with items on IDEAS)

    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. Mejías, Ana M. & Bellas, Roberto & Pardo, Juan E. & Paz, Enrique, 2019. "Traceability management systems and capacity building as new approaches for improving sustainability in the fashion multi-tier supply chain," International Journal of Production Economics, Elsevier, vol. 217(C), pages 143-158.
    2. Vladimír Bureš & Daniela Ponce & Pavel Čech & Karel Mls, 2019. "The effect of trial repetition and problem size on the consistency of decision making," PLOS ONE, Public Library of Science, vol. 14(5), pages 1-14, May.
    3. Fang, Lei, 2022. "Measuring and decomposing group performance under centralized management," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1006-1013.
    4. Pishchulov, Grigory & Trautrims, Alexander & Chesney, Thomas & Gold, Stefan & Schwab, Leila, 2019. "The Voting Analytic Hierarchy Process revisited: A revised method with application to sustainable supplier selection," International Journal of Production Economics, Elsevier, vol. 211(C), pages 166-179.
    5. Seyed Rakhshan & Ali Kamyad & Sohrab Effati, 2015. "Ranking decision-making units by using combination of analytical hierarchical process method and Tchebycheff model in data envelopment analysis," Annals of Operations Research, Springer, vol. 226(1), pages 505-525, March.
    6. Carmen Herrero & Antonio Villar, 2022. "Sports competitions and the Break-Even rule," Working Papers 22.13, Universidad Pablo de Olavide, Department of Economics.
    7. Madjid Tavana & Mariya Sodenkamp & Leena Suhl, 2010. "A soft multi-criteria decision analysis model with application to the European Union enlargement," Annals of Operations Research, Springer, vol. 181(1), pages 393-421, December.
    8. Abdelmonaim Okacha & Adil Salhi & Kamal Abdelrahman & Hamid Fattasse & Kamal Lahrichi & Kaoutar Bakhouya & Biraj Kanti Mondal, 2024. "Balancing Environmental and Human Needs: Geographic Information System-Based Analytical Hierarchy Process Land Suitability Planning for Emerging Urban Areas in Bni Bouayach Amid Urban Transformation," Sustainability, MDPI, vol. 16(15), pages 1-24, July.
    9. Zola, Fernanda Cavicchioli & Colmenero, João Carlos & Aragão, Franciely Velozo & Rodrigues, Thaisa & Junior, Aldo Braghini, 2020. "Multicriterial model for selecting a charcoal kiln," Energy, Elsevier, vol. 190(C).
    10. Baghersad, Milad & Zobel, Christopher W., 2015. "Economic impact of production bottlenecks caused by disasters impacting interdependent industry sectors," International Journal of Production Economics, Elsevier, vol. 168(C), pages 71-80.
    11. Aniruddh Nain & Deepika Jain & Shivam Gupta & Ashwani Kumar, 2023. "Improving First Responders' Effectiveness in Post-Disaster Scenarios Through a Hybrid Framework for Damage Assessment and Prioritization," Global Journal of Flexible Systems Management, Springer;Global Institute of Flexible Systems Management, vol. 24(3), pages 409-437, September.
    12. Andrzej Pacana & Dominika Siwiec & Robert Ulewicz & Malgorzata Ulewicz, 2024. "A Novelty Model Employing the Quality Life Cycle Assessment (QLCA) Indicator and Frameworks for Selecting Qualitative and Environmental Aspects for Sustainable Product Development," Sustainability, MDPI, vol. 16(17), pages 1-24, September.
    13. Roh, Seungkook & Choi, Jae Young & Chang, Soon Heung, 2019. "Modeling of nuclear power plant export competitiveness and its implications: The case of Korea," Energy, Elsevier, vol. 166(C), pages 157-169.
    14. Wu, Zhibin & Huang, Shuai & Xu, Jiuping, 2019. "Multi-stage optimization models for individual consistency and group consensus with preference relations," European Journal of Operational Research, Elsevier, vol. 275(1), pages 182-194.
    15. Valdecy Pereira & Helder Costa, 2015. "Nonlinear programming applied to the reduction of inconsistency in the AHP method," Annals of Operations Research, Springer, vol. 229(1), pages 635-655, June.
    16. Carlos Andrés Vergara Tamayo & Diana Carolina Ortiz Motta, 2016. "Contribución al desarrollo sostenible local de los proyectos MDL en el sector de generación eléctrica por biomasa: caso INCAUCA S.A," Revista Facultad de Ciencias Económicas, Universidad Militar Nueva Granada, vol. 24(2), pages 161-182, October.
    17. Herbert Dawid & Reinhold Decker & Thomas Hermann & Hermann Jahnke & Wilhelm Klat & Rolf König & Christian Stummer, 2017. "Management science in the era of smart consumer products: challenges and research perspectives," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(1), pages 203-230, March.
    18. Jane Musole Kwenye & Xiaoting Hou Jones & Alan Renwick, 2023. "Understanding Land-Use Trade-off Decision Making Using the Analytical Hierarchy Process: Insights from Agricultural Land Managers in Zambia," Land, MDPI, vol. 12(3), pages 1-19, February.
    19. Gerda Ana Melnik-Leroy & Gintautas Dzemyda, 2021. "How to Influence the Results of MCDM?—Evidence of the Impact of Cognitive Biases," Mathematics, MDPI, vol. 9(2), pages 1-25, January.
    20. Snežana Tadić & Mladen Krstić & Violeta Roso & Nikolina Brnjac, 2020. "Dry Port Terminal Location Selection by Applying the Hybrid Grey MCDM Model," Sustainability, MDPI, vol. 12(17), pages 1-22, August.

    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:apmaco:v:380:y:2020:i:c:s0096300320302423. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.