Symmetric approximations of pseudo-Boolean functions with applications to influence indexes

DOI10.1016/j.aml.2012.02.017zbMath1246.90105arXiv1004.2593OpenAlexW2080449979MaRDI QIDQ449336

Pierre Mathonet, Jean-Luc Marichal

Publication date: 30 August 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2593

zbMATH Keywords

system reliabilitycooperative game theorysystem signatureleast squares approximationpseudo-Boolean functioncardinality index

Mathematics Subject Classification ID

Cooperative games (91A12) Boolean programming (90C09) Boolean functions (06E30)

Cites Work

• Weighted Banzhaf power and interaction indexes through weighted approximations of games
• Extensions of system signatures to dependent lifetimes: explicit expressions and interpretations
• The influence of variables in product spaces
• The influence of variables on pseudo-Boolean functions with applications to game theory and multicriteria decision making
• System signatures and their applications in engineering reliability
• Signatures of indirect majority systems
• On the cardinality index and attitudinal character of fuzzy measures
• On Closure of the IFR Class Under Formation of Coherent Systems
• Approximations of pseudo-Boolean functions; applications to game theory
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