IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v328y2023i2d10.1007_s10479-023-05371-w.html
   My bibliography  Save this article

Bi-oriented graphs and four valued logic for preference modelling

Author

Listed:
  • Ouahiba Bessouf

    (USTHB)

  • Abdelkader Khelladi

    (USTHB)

  • Meltem Öztürk

    (CNRS, PSL Research University, Université Paris Dauphine, LAMSADE)

  • Alexis Tsoukiàs

    (CNRS, PSL Research University, Université Paris Dauphine, LAMSADE)

Abstract

In this paper we show the relations between 4-valued logics (and more precisely the DDT logic) and the use of bi-oriented graphs. Further on we focus on the use of bi-oriented graphs for non conventional preference modelling. More specifically, we show how bi-oriented graphs can be used in order to represent extended preference structures of the type definable using the DDT logic which has been created with the purpose of modelling hesitation in preference statements. We then study how transitive closure can be extended within such extended preference structures.

Suggested Citation

  • Ouahiba Bessouf & Abdelkader Khelladi & Meltem Öztürk & Alexis Tsoukiàs, 2023. "Bi-oriented graphs and four valued logic for preference modelling," Annals of Operations Research, Springer, vol. 328(2), pages 1239-1262, September.
    • Handle: RePEc:spr:annopr:v:328:y:2023:i:2:d:10.1007_s10479-023-05371-w
    DOI: 10.1007/s10479-023-05371-w
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-023-05371-w
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-023-05371-w?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. Brans, J. P. & Vincke, Ph. & Mareschal, B., 1986. "How to select and how to rank projects: The method," European Journal of Operational Research, Elsevier, vol. 24(2), pages 228-238, February.
    2. Stefano Moretti & Meltem Öztürk & Alexis Tsoukiàs, 2016. "Preference Modelling," International Series in Operations Research & Management Science, in: Salvatore Greco & Matthias Ehrgott & José Rui Figueira (ed.), Multiple Criteria Decision Analysis, edition 2, chapter 0, pages 43-95, Springer.
    3. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1986. "How to select and how to rank projects: the Prométhée method," ULB Institutional Repository 2013/9307, ULB -- Universite Libre de Bruxelles.
    4. Meltem Öztürké & Alexis Tsoukiàs & Philippe Vincke, 2005. "Preference Modelling," International Series in Operations Research & Management Science, in: Multiple Criteria Decision Analysis: State of the Art Surveys, chapter 0, pages 27-59, Springer.
    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. Yi Peng, 2015. "Regional earthquake vulnerability assessment using a combination of MCDM methods," Annals of Operations Research, Springer, vol. 234(1), pages 95-110, November.
    2. Guh, Yuh-Yuan, 1997. "Introduction to a new weighting method -- Hierarchy consistency analysis," European Journal of Operational Research, Elsevier, vol. 102(1), pages 215-226, October.
    3. Hajkowicz, Stefan, 2006. "Taking a closer look at multiple criteria analysis and economic evaluation," 2006 Conference (50th), February 8-10, 2006, Sydney, Australia 139785, Australian Agricultural and Resource Economics Society.
    4. Meløn, Mønica García & Aragonés Beltran, Pablo & Carmen González Cruz, M., 2008. "An AHP-based evaluation procedure for Innovative Educational Projects: A face-to-face vs. computer-mediated case study," Omega, Elsevier, vol. 36(5), pages 754-765, October.
    5. Greco, Salvatore & Ishizaka, Alessio & Tasiou, Menelaos & Torrisi, Gianpiero, 2018. "σ-µ efficiency analysis: A new methodology for evaluating units through composite indices," MPRA Paper 83569, University Library of Munich, Germany.
    6. Juliana Martins Ruzante & Valerie J. Davidson & Julie Caswell & Aamir Fazil & John A. L. Cranfield & Spencer J. Henson & Sven M. Anders & Claudia Schmidt & Jeffrey M. Farber, 2010. "A Multifactorial Risk Prioritization Framework for Foodborne Pathogens," Risk Analysis, John Wiley & Sons, vol. 30(5), pages 724-742, May.
    7. Mulliner, Emma & Smallbone, Kieran & Maliene, Vida, 2013. "An assessment of sustainable housing affordability using a multiple criteria decision making method," Omega, Elsevier, vol. 41(2), pages 270-279.
    8. Roberto Cervelló Royo & Fernando García García & Francisco Guijarro-Martínez & Ismael Moya-Clemente, 2011. "Housing Ranking: a model of equilibrium between buyers and sellers expectations," ERSA conference papers ersa11p314, European Regional Science Association.
    9. Qian-Yun Tan & Cui-Ping Wei & Qi Liu & Xiang-Qian Feng, 2016. "The Hesitant Fuzzy Linguistic TOPSIS Method Based on Novel Information Measures," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-22, October.
    10. Hajkowicz, Stefan & Higgins, Andrew, 2008. "A comparison of multiple criteria analysis techniques for water resource management," European Journal of Operational Research, Elsevier, vol. 184(1), pages 255-265, January.
    11. Ren, Hongbo & Gao, Weijun & Zhou, Weisheng & Nakagami, Ken'ichi, 2009. "Multi-criteria evaluation for the optimal adoption of distributed residential energy systems in Japan," Energy Policy, Elsevier, vol. 37(12), pages 5484-5493, December.
    12. Marco Rogna, 2019. "A First-Phase Screening Device for Site Selection of Large-Scale Solar Plants with an Application to Italy," BEMPS - Bozen Economics & Management Paper Series BEMPS57, Faculty of Economics and Management at the Free University of Bozen.
    13. Vaillancourt, Kathleen & Waaub, Jean-Philippe, 2002. "Environmental site evaluation of waste management facilities embedded into EUGENE model: A multicriteria approach," European Journal of Operational Research, Elsevier, vol. 139(2), pages 436-448, June.
    14. Manuel Casal-Guisande & Alberto Comesaña-Campos & Alejandro Pereira & José-Benito Bouza-Rodríguez & Jorge Cerqueiro-Pequeño, 2022. "A Decision-Making Methodology Based on Expert Systems Applied to Machining Tools Condition Monitoring," Mathematics, MDPI, vol. 10(3), pages 1-30, February.
    15. Hugo Díaz & Carlos Guedes Soares, 2021. "A Multi-Criteria Approach to Evaluate Floating Offshore Wind Farms Siting in the Canary Islands (Spain)," Energies, MDPI, vol. 14(4), pages 1-18, February.
    16. Jaroslaw Witkowski & Jakub Marcinkowski & Maja Kiba-Janiak, 2020. "A Comparative Analysis of Electronic Freight Exchanges in the United States and Europe with the Use of the Multiple Criteria Decision-Making Method “Promethee”," European Research Studies Journal, European Research Studies Journal, vol. 0(Special 1), pages 476-487.
    17. Dias, Luis C. & Lamboray, Claude, 2010. "Extensions of the prudence principle to exploit a valued outranking relation," European Journal of Operational Research, Elsevier, vol. 201(3), pages 828-837, March.
    18. Martina Kuncova & Jana Seknickova, 2022. "Two-stage weighted PROMETHEE II with results’ visualization," 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. 30(2), pages 547-571, June.
    19. Marcella Maia Urtiga & Danielle Costa Morais & Keith W. Hipel & D. Marc Kilgour, 2017. "Group Decision Methodology to Support Watershed Committees in Choosing Among Combinations of Alternatives," Group Decision and Negotiation, Springer, vol. 26(4), pages 729-752, July.
    20. Aikaterini Papapostolou & Charikleia Karakosta & Kalliopi-Anastasia Kourti & Haris Doukas & John Psarras, 2019. "Supporting Europe’s Energy Policy Towards a Decarbonised Energy System: A Comparative Assessment," Sustainability, MDPI, vol. 11(15), pages 1-26, July.

    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:spr:annopr:v:328:y:2023:i:2:d:10.1007_s10479-023-05371-w. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.