AGGREGATION FUNCTIONS WITH NON-MONOTONIC MEASURES

Marta Cardin and Silvio Giove
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Silvio Giove: University of Venice

Fuzzy Economic Review, 2008, vol. XIII, issue 2, 3-15

Abstract: 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)
Date: 2008
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