In this paper non-monotonic measures and their properties are considered and described. Subsequently we study discrete non-monotonic Choquet integral under the view- point of aggregation, and its axiomatic characterization. Moreover, we show that for non-monotonic measures the Shapley index can fail to represent the relative importance of a criterion, thus we introduce a new performance index. Finally we apply non-monotonic integral to a well known classical case study.
Aggregation functions with non-monotonic measures
CARDIN, Marta;GIOVE, Silvio
2008-01-01
Abstract
In this paper non-monotonic measures and their properties are considered and described. Subsequently we study discrete non-monotonic Choquet integral under the view- point of aggregation, and its axiomatic characterization. Moreover, we show that for non-monotonic measures the Shapley index can fail to represent the relative importance of a criterion, thus we introduce a new performance index. Finally we apply non-monotonic integral to a well known classical case study.
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