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On the use of valued action profiles for relational multi-criteria clustering

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  • Stefan Eppe
  • Julien Roland
  • Yves De Smet

Abstract

Clustering techniques aim at eliciting hidden structures of a dataset by partitioning it into groups of similar elements. We will focus on the special case of relational clustering, where the similarity is based on relations that exist between elements rather than on their respective intrinsic features. As will be shown, particular attention has to be paid when applying a relational approach to the context of multi-criteria decision making. This paper introduces the concept of valued action profiles, a formalism for handling elements that are defined by pairwise valued outranking relations. For our experimental study, we then integrate these profiles into an adapted k-means algorithm that returns a relational partition. Results on both artificial and real datasets show that the use of the proposed method leads to meaningful relational partitions.

Suggested Citation

  • 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.
    • Handle: RePEc:ids:ijmcdm:v:4:y:2014:i:3:p:201-233
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    Citations

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    Cited by:

    1. Boujelben, Mohamed Ayman, 2017. "A unicriterion analysis based on the PROMETHEE principles for multicriteria ordered clustering," Omega, Elsevier, vol. 69(C), pages 126-140.
    2. Baroudi Rouba & Safia Nait Bahloul, 2014. "A Multicriteria Clustering Approach Based on Similarity Indices and Clustering Ensemble Techniques," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 13(04), pages 811-837.
    3. Sarrazin, R. & De Smet, Y. & Rosenfeld, J., 2018. "An extension of PROMETHEE to interval clustering," Omega, Elsevier, vol. 80(C), pages 12-21.
    4. 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.
    5. Ishizaka, Alessio & Lokman, Banu & Tasiou, Menelaos, 2021. "A Stochastic Multi-criteria divisive hierarchical clustering algorithm," Omega, Elsevier, vol. 103(C).

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