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An exact algorithm for the multicriteria ordered clustering problem

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  • De Smet, Yves
  • Nemery, Philippe
  • Selvaraj, Ramkumar

Abstract

In the context of multicriteria decision aid, we address the problem of regrouping alternatives into completely ordered categories based on valued preference degrees. We assume that the number of groups is fixed a priori. This will be referred to as the multicriteria ordered clustering problem. The model is based on the definition of an inconsistency matrix and only uses the ordinal properties of the pairwise preference relations. An exact algorithm is proposed to find the ordered partition and is applied as illustration to the Human Development Index.

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  • 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.
    • Handle: RePEc:eee:jomega:v:40:y:2012:i:6:p:861-869
    DOI: 10.1016/j.omega.2012.01.007
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    6. Raquel Lourenço Carvalhal Monteiro & Valdecy Pereira & Helder Gomes Costa, 2018. "A Multicriteria Approach to the Human Development Index Classification," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 136(2), pages 417-438, April.
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    17. 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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