Shapley value of capacities

Aoi Honda; Yoshiaki Okazaki

doi:10.14864/softscis.2006.0.1374.0

SCIS & ISIS 2006

Session ID : FR-F4-1

DOI https://doi.org/10.14864/softscis.2006.0.1374.0

Conference information

Host: Japan SOciety for Fuzzy Theory and intelligent informatics

Co-host: The Korea Fuzzy Logic and Intelligent Systems Society, IEEE Computational Intelligence Society, The International Fuzzy Systems Association, 21th Century COE Program "Creation of Agent-Based Social Systems Sciences"

FR-F4 Human judgment and decision making

Shapley value of capacities

*Aoi Honda, Yoshiaki Okazaki

Author information

Keywords: Shapley value, capacity, set system

CONFERENCE PROCEEDINGS FREE ACCESS

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Abstract

An axiomatization of the Shapley value of capacities (also called fuzzy measures) is proposed. We consider capacities on general set systems of a finite universal set which are not necessarily the power sets. We shall introduce a definition of the Shapley value of fuzzy measure defined on set systems, and give a necessary and sufficient condition which characterizes our definition axiomatically. Our condition seems natural and enough understandable as axioms of the Shapley value on set systems.

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