Fuzzy Integral as a Flexible and Interpretable Tool of Aggregation

  • Michel Grabisch
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 12)


The fuzzy integral with respect to a fuzzy measure has been used in many applications of multicriteria evaluation. We present here its properties for aggregation and its situation among common aggregation operators. The concept of Shapley value and interaction index, which are well rooted in a theory of representation of fuzzy measures, can afford a semantical analysis of the aggregation operation, and facilitate the use of fuzzy integral in practical problems.


Aggregation Operator Multicriteria Decision Fuzzy Measure Order Weighted Average Interaction Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Michel Grabisch
    • 1
  1. 1.Central Research LaboratoryThomson-CSFOrsay CedexFrance

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