文章基本信息

标题：Analytic Properties of High Dimensional Model Representations
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作者：Francesca Beccacece ; Francesca Beccacece ; Emanuele Borgonovo 等
期刊名称：Procedia - Social and Behavioral Sciences
印刷版ISSN：1877-0428
出版年度：2010
卷号：2
期号：6
页码：7607-7608
DOI：10.1016/j.sbspro.2010.05.140
语种：English
出版社：Elsevier
摘要：AbstractThe representation of multivariate functions is often given by means of functional ANOVA, in particular in Statistics, Simulation and Sensitivity Analysis. In despite of such use, its analytic and geometric properties have not been addressed yet. We derive conditions for continuity, differentiability, monotonicity and ultramodularity properties in functional ANOVA. We study the implications of these findings in multiattribute utility theory. We establish the conditions under which analytic properties of a multiattribute utility function imply the same properties of its one-attribute functions. The converse implications are also investigated.
关键词：Functional ANOVA;Multi-criteria Analysis;Multiattribute Utility Theory