Representing preferences by choquet integral: Guidelines to specify the capacity type

Dolgun L. E., Burnak N., Köksal G.

Decision Science Letters, vol.9, pp.387-408, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9
  • Publication Date: 2020
  • Doi Number: 10.5267/j.dsl.2020.4.001
  • Journal Name: Decision Science Letters
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.387-408
  • Keywords: Multiple criteria decision making, Choquet integral, Interaction, Unipolar capacity, K-ary capacity, Non-additive measures
  • TED University Affiliated: No


© 2020 by the authors; licensee Growing Science, Canada.This study considers representing decision maker preferences by Choquet integral in existence of interactions among criteria. Parameters of the Choquet integral are capacities which assign weights not only to criteria but also to each subset of criteria. This property provides Choquet integral with the ability of modeling some types of interactions. Different capacity types with different degrees of complexity have been defined in the literature. After making a review on the dependence (interaction) and independence concepts used in the multiple criteria decision making literature, we study and represent structures of interactions that can be handled by different capacity types through intuitive graphical demonstrations. Afterwards, we provide guidelines for specifying the appropriate capacity type in practical applications. Such guidance has not been provided in the literature for the practitioners to the best of our knowledge.