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Symmetric approximations of pseudo-Boolean functions with applications to influence indexes
Abstract
peer reviewedWe introduce an index for measuring the influence of the th smallest variable on a pseudo-Boolean function. This index is defined from a weighted least squares approximation of the function by linear combinations of order statistic functions. We give explicit expressions for both the index and the approximation and discuss some properties of the index. Finally, we show that this index subsumes the concept of system signature in engineering reliability and that of cardinality index in decision making.F1R-MTH-PUL-12RDO2 > MRDO2 > 01/02/2012 - 31/01/2015 > MARICHAL Jean-Lu- journal article
- http://purl.org/coar/resource_type/c_6501
- info:eu-repo/semantics/article
- peer reviewed
- Pseudo-Boolean function
- Least squares approximation
- Symmetric function
- Cooperative game theory
- System reliability
- System signature
- Cardinality index
- Physical, chemical, mathematical & earth Sciences
- Mathematics
- Physique, chimie, mathématiques & sciences de la terre
- Mathématiques
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Last time updated on 16/07/2013
This paper was published in Open Repository and Bibliography - Luxembourg.
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