The logical representation of the discrete Choquet integral

The logical representation of the discrete Choquet integral

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Article ID: iaor20002281
Country: Belgium
Volume: 38
Issue: 2/3
Start Page Number: 67
End Page Number: 89
Publication Date: Jan 1998
Journal: Belgian Journal of Operations Research, Statistics and Computer Science
Authors:
Keywords: decision theory: multiple criteria
Abstract:

A discrete Choquet integral can be used for the aggregation of attribute values in decision problems in the presence of interaction among attributes. The main drawback is the non-existence of a clear interpretation of what a given fuzzy measure means in terms of behavior in decision making. This paper presents an equivalent representation: the logical representation of the discrete Choquet integral. This logical representation enables expressing what a given fuzzy measure means in terms of behavior in decision making and/or enables a consistent explanation of a decision maker's preference structure in the presence of interaction among attributes.

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