AGGREGATION FUNCTIONS WITH NON-MONOTONIC MEASURES
Marta Cardin () and
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Silvio Giove: University of Venice
Fuzzy Economic Review, 2008, vol. XIII, issue 2, 3-15
In this paper non-monotonic measures and their properties are considered and described. Subsequently we study discrete non-monotonic Choquet integral under the viewpoint 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.
Keywords: aggregation operators; non-additive measures; non-monotonic measures; Choquet integral (search for similar items in EconPapers)
JEL-codes: C60 (search for similar items in EconPapers)
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Persistent link: https://EconPapers.repec.org/RePEc:fzy:fuzeco:v:xiii:y:2008:i:2:p:3-15
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