Aggregation based on integrals: recent results and trends

  • Authors:
  • Michel Grabisch

  • Affiliations:
  • LIP6, Université de Paris VI 8, rue du Capitaine Scott, 75015 Paris

  • Venue:
  • Aggregation operators
  • Year:
  • 2002

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Abstract

The paper presents an overview of recent results related to the use of non additive integrals (Choquet and Sugeno integrals) as aggregation operators. We essentially address two main issues, which are the treatment of negative numbers, and the case of ordinal information to aggregate. We do not explicitely presuppose any particular form of aggregation problem (e.g. multicriteria decision making), and remain at an abstract level, although decision making in general can be considered as the main motivation of the work.