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A multicriteria ordered clustering algorithm to determine precise or disjunctive partitions

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  • Mohamed Ayman Boujelben
  • Yves De Smet

Abstract

We consider multicriteria clustering problems where the groups are ordered from the best to the worst. An approach relying on the principles of the k-means algorithm and disjunctive sorting based on evidence theory (DISSET) method is proposed for the detection of ordered clusters. The distinctive feature of this method is that it allows to obtain both precise and disjunctive partitions. In such situation, the actions can be assigned even to pair of groups (and not only to precise clusters). The decision maker is assumed to provide the following inputs: an evaluation table, the desired number of clusters and a valued preference model (obtained for instance by PROMETHEE method). The method is illustrated on two real examples: the Human Development Index (HDI-2013) and the Logistics Performance Index (LPI-2014).

Suggested Citation

  • 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.
    • Handle: RePEc:ids:ijmcdm:v:6:y:2016:i:2:p:157-187
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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. 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.
    3. 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).
    4. 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).

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