Fuzzy Integral as a Flexible and Interpretable Tool of Aggregation
Studies in fuzziness and soft computingPublished 1 January 1998
Michel Grabisch
Citations52
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TL;DR
The 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.
Abstract
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.
Keywords
Computer ScienceDecision SciencesMathematics
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