Equivalent representations of set functions

• 成果类型: Article
• 署名作者: Grabisch, M; Marichal, JL; Roubens, M
• 署名单位: Sorbonne Universite; University of Liege; University of Liege
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.25.2.157.12225
• 发表日期: 2000
• 页码: 157-178
• 关键词: discrete fuzzy measures; games

摘要

This paper introduces four alternative representations of a set function: the Mobius transformation, the co-Mobius transformation, and the interactions between elements of any subset of a given set as extensions of Shapley and Banzhaf values. The links between the five equivalent representations of a set function are emphasized in this presentation.