IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v69y2017icp126-140.html
   My bibliography  Save this article

A unicriterion analysis based on the PROMETHEE principles for multicriteria ordered clustering

Author

Listed:
  • Boujelben, Mohamed Ayman

Abstract

We consider multicriteria clustering problems where the groups are defined by a total order. We assume that the pairwise comparisons between the alternatives are expressed by a valued preference model built by PROMETHEE. In order to analyze the characteristics of each cluster on the different criteria, we propose three concepts based on the PROMETHEE principles: the preference profile of a cluster, the similarity profile of a cluster and the inconsistency profile of a cluster. These notions are illustrated based on a real application on the supplier segmentation.

Suggested Citation

  • Boujelben, Mohamed Ayman, 2017. "A unicriterion analysis based on the PROMETHEE principles for multicriteria ordered clustering," Omega, Elsevier, vol. 69(C), pages 126-140.
    • Handle: RePEc:eee:jomega:v:69:y:2017:i:c:p:126-140
    DOI: 10.1016/j.omega.2016.08.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305048316305126
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.omega.2016.08.007?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. Constantin Zopounidis & Michael Doumpos, 1999. "Business failure prediction using the UTADIS multicriteria analysis method," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(11), pages 1138-1148, November.
    2. Rezaei, Jafar & Ortt, Roland, 2013. "Multi-criteria supplier segmentation using a fuzzy preference relations based AHP," European Journal of Operational Research, Elsevier, vol. 225(1), pages 75-84.
    3. Mohamed Ayman Boujelben & Yves De Smet, 2016. "A multicriteria ordered clustering algorithm to determine precise or disjunctive partitions," International Journal of Multicriteria Decision Making, Inderscience Enterprises Ltd, vol. 6(2), pages 157-187.
    4. De Smet, Yves & Montano Guzman, Linett, 2004. "Towards multicriteria clustering: An extension of the k-means algorithm," European Journal of Operational Research, Elsevier, vol. 158(2), pages 390-398, October.
    5. Zopounidis, Constantin & Doumpos, Michael, 2002. "Multicriteria classification and sorting methods: A literature review," European Journal of Operational Research, Elsevier, vol. 138(2), pages 229-246, April.
    6. Doumpos, Michael & Zopounidis, Constantin, 2004. "A multicriteria classification approach based on pairwise comparisons," European Journal of Operational Research, Elsevier, vol. 158(2), pages 378-389, October.
    7. Belacel, Nabil, 2000. "Multicriteria assignment method PROAFTN: Methodology and medical application," European Journal of Operational Research, Elsevier, vol. 125(1), pages 175-183, August.
    8. Fernandez, Eduardo & Navarro, Jorge & Bernal, Sergio, 2010. "Handling multicriteria preferences in cluster analysis," European Journal of Operational Research, Elsevier, vol. 202(3), pages 819-827, May.
    9. Ishizaka, Alessio & Nemery, Philippe, 2014. "Assigning machines to incomparable maintenance strategies with ELECTRE-SORT," Omega, Elsevier, vol. 47(C), pages 45-59.
    10. De Smet, Yves & Nemery, Philippe & Selvaraj, Ramkumar, 2012. "An exact algorithm for the multicriteria ordered clustering problem," Omega, Elsevier, vol. 40(6), pages 861-869.
    11. Stefan Eppe & Julien Roland & Yves De Smet, 2014. "On the use of valued action profiles for relational multi-criteria clustering," International Journal of Multicriteria Decision Making, Inderscience Enterprises Ltd, vol. 4(3), pages 201-233.
    12. Bertrand Mareschal & Jean Pierre Brans, 2002. "Prométhée-Gaia: une méthodologie d'aide à la décision en présence de critères multiples," ULB Institutional Repository 2013/9303, ULB -- Universite Libre de Bruxelles.
    13. Meyer, Patrick & Olteanu, Alexandru-Liviu, 2013. "Formalizing and solving the problem of clustering in MCDA," European Journal of Operational Research, Elsevier, vol. 227(3), pages 494-502.
    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. Tang, Ming & Liao, Huchang, 2021. "From conventional group decision making to large-scale group decision making: What are the challenges and how to meet them in big data era? A state-of-the-art survey," Omega, Elsevier, vol. 100(C).
    2. Sarah Ben Amor & Fateh Belaid & Ramzi Benkraiem & Boumediene Ramdani & Khaled Guesmi, 2023. "Multi-criteria classification, sorting, and clustering: a bibliometric review and research agenda," Annals of Operations Research, Springer, vol. 325(2), pages 771-793, June.
    3. Díaz, Raymundo & Fernández, Eduardo & Figueira, José-Rui & Navarro, Jorge & Solares, Efrain, 2023. "A new hierarchical multiple criteria ordered clustering approach as a complementary tool for sorting and ranking problems," Omega, Elsevier, vol. 117(C).
    4. Gong, Zaiwu & Guo, Weiwei & Słowiński, Roman, 2021. "Transaction and interaction behavior-based consensus model and its application to optimal carbon emission reduction," Omega, Elsevier, vol. 104(C).

    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. Sarrazin, R. & De Smet, Y. & Rosenfeld, J., 2018. "An extension of PROMETHEE to interval clustering," Omega, Elsevier, vol. 80(C), pages 12-21.
    2. Ishizaka, Alessio & Lokman, Banu & Tasiou, Menelaos, 2021. "A Stochastic Multi-criteria divisive hierarchical clustering algorithm," Omega, Elsevier, vol. 103(C).
    3. Khaled Belahcène & Vincent Mousseau & Wassila Ouerdane & Marc Pirlot & Olivier Sobrie, 2023. "Multiple criteria sorting models and methods—Part I: survey of the literature," 4OR, Springer, vol. 21(1), pages 1-46, March.
    4. Díaz, Raymundo & Fernández, Eduardo & Figueira, José-Rui & Navarro, Jorge & Solares, Efrain, 2023. "A new hierarchical multiple criteria ordered clustering approach as a complementary tool for sorting and ranking problems," Omega, Elsevier, vol. 117(C).
    5. Araz, Ceyhun & Ozkarahan, Irem, 2007. "Supplier evaluation and management system for strategic sourcing based on a new multicriteria sorting procedure," International Journal of Production Economics, Elsevier, vol. 106(2), pages 585-606, April.
    6. Chakhar, Salem & Ishizaka, Alessio & Thorpe, Andy & Cox, Joe & Nguyen, Thang & Ford, Liz, 2020. "Calculating the relative importance of condition attributes based on the characteristics of decision rules and attribute reducts: Application to crowdfunding," European Journal of Operational Research, Elsevier, vol. 286(2), pages 689-712.
    7. Sarah Ben Amor & Fateh Belaid & Ramzi Benkraiem & Boumediene Ramdani & Khaled Guesmi, 2023. "Multi-criteria classification, sorting, and clustering: a bibliometric review and research agenda," Annals of Operations Research, Springer, vol. 325(2), pages 771-793, June.
    8. Pereira, Javier & Contreras, Pedro & Morais, Danielle C. & Arroyo-López, Pilar, 2022. "Multi-criteria ordered clustering of countries in the Global Health Security Index," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    9. Sarah Ben Amor & Fateh Belaid & Ramzi Benkraiem & Boumediene Ramdani & Khaled Guesmi, 2023. "Multi-criteria classification, sorting, and clustering: a bibliometric review and research agenda," Annals of Operations Research, Springer, vol. 325(2), pages 771-793, June.
    10. Doumpos, M. & Marinakis, Y. & Marinaki, M. & Zopounidis, C., 2009. "An evolutionary approach to construction of outranking models for multicriteria classification: The case of the ELECTRE TRI method," European Journal of Operational Research, Elsevier, vol. 199(2), pages 496-505, December.
    11. Hatami-Marbini, Adel & Tavana, Madjid, 2011. "An extension of the Electre I method for group decision-making under a fuzzy environment," Omega, Elsevier, vol. 39(4), pages 373-386, August.
    12. Juan Carlos Leyva Lopez & Jesus Jaime Solano Noriega & Diego Alonso Gastelum Chavira, 2017. "A Multi-Criteria Approach to Rank the Municipalities of the States of Mexico by its Marginalization Level: The Case of Jalisco," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 473-513, March.
    13. Liu, Jiapeng & Liao, Xiuwu & Zhao, Wenhong & Yang, Na, 2016. "A classification approach based on the outranking model for multiple criteria ABC analysis," Omega, Elsevier, vol. 61(C), pages 19-34.
    14. Ishizaka, Alessio & Nemery, Philippe, 2014. "Assigning machines to incomparable maintenance strategies with ELECTRE-SORT," Omega, Elsevier, vol. 47(C), pages 45-59.
    15. Saeideh Babashahi & Paul Hansen & Ronald Peeters, 2023. "External validity of multi-criteria preference data obtained from non-random sampling: measuring cohesiveness within and between groups," Annals of Operations Research, Springer, vol. 325(2), pages 939-949, June.
    16. Pereira, Javier & Contreras, Pedro & Morais, Danielle C. & Arroyo-López, Pilar, 2022. "A multi-criteria and stochastic robustness analysis approach to compare nations sustainability," Socio-Economic Planning Sciences, Elsevier, vol. 80(C).
    17. Chrysovalantis Gaganis & Panagiota Papadimitri & Menelaos Tasiou, 2021. "A multicriteria decision support tool for modelling bank credit ratings," Annals of Operations Research, Springer, vol. 306(1), pages 27-56, November.
    18. Wang, Liang & Zhang, Zi-Xin & Ishizaka, Alessio & Wang, Ying-Ming & Martínez, Luis, 2023. "TODIMSort: A TODIM based method for sorting problems," Omega, Elsevier, vol. 115(C).
    19. Ana Sara Costa & Isabella M. Lami & Salvatore Greco & José Rui Figueira & José Borbinha, 2021. "Assigning a house for refugees: an application of a multiple criteria nominal classification method," Operational Research, Springer, vol. 21(4), pages 2651-2687, December.
    20. Murat Köksalan & Vincent Mousseau & Selin Özpeynirci, 2017. "Multi-Criteria Sorting with Category Size Restrictions," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 5-23, January.

    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:jomega:v:69:y:2017:i:c:p:126-140. 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: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    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.