Unsupervized aggregation of commensurate correlated attributes by means of the choquet integral and entropy functionals

  • Authors:

  • Ivan Kojadinovic

  • Affiliations:

  • Formerly at LINA CNRS FRE 2729, École Polytechnique de l'Université de Nantes, France. Department of Statistics, The University of Auckland, Private Bag 92019, Auckland 1142, New Zealand

  • Venue:
  • International Journal of Intelligent Systems
  • Year:
  • 2008

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Abstract

In the framework of aggregation by the discrete Choquet integral, the unsupervized method for the identification of the underlying capacity initially put forward in Kojadinovic, Eur J Oper Res 2004; 155:741–751 is presented and improvements are proposed. The suggested approach consists in replacing the subjective notion of importance of a subset of attributes by that of information content of a subset of attributes, which can be estimated from the set of profiles by means of an entropy measure. An example of the application of the proposed methodology is given: in the absence of initial preferences, the approach is applied to the evaluation of students. © 2008 Wiley Periodicals, Inc. This paper is a revised and extended version with proofs of the conference paper.