k-order additive discrete fuzzy measures and their representation
Fuzzy Sets and SystemsPublished 1 December 1997
Michel Grabisch
Citations958
SJR quartileQ1
SJR score0.75
SNIP1.25
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TL;DR
A related topic of the paper is to introduce an alternative representation of fuzzy measures, called the interaction representation, which sets and extends in a common framework the Shapley value and the interaction index proposed by Murofushi and Soneda.
Abstract
In order to face with the complexity of discrete fuzzy measures, we propose the concept of k-orderadditive fuzzy measure, including usual additive measures and fuzzy measures. Every discrete fuzzy measure is a k-order additive fuzzy measure for a unique k. A related topic of the paper is to introduce an alternative representation of fuzzy measures, called the interaction representation, which sets and extends in a common framework the Shapley value and the interaction index proposed by Murofushi and Soneda.
Keywords
Computer ScienceMathematicsDecision Sciences
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