Article ID Journal Published Year Pages File Type
1709056 Applied Mathematics Letters 2012 6 Pages PDF
Abstract

We introduce an index for measuring the influence of the kkth 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.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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