Maxitive Integral of Real-Valued Functions

被引：0

作者：

Cattaneo, Marco E. G. V. ^{[1
]}

机构：

[1] Univ Munich, Dept Stat, D-80539 Munich, Germany

来源：

INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS, PT I | 2014年 / 442卷

关键词：

maxitive measures; nonadditive integrals; location and scale invariance; Shilkret integral; convexity; subadditivity;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The paper pursues the definition of a maxitive integral on all real-valued functions (i.e., the integral of the pointwise maximum of two functions must be the maximum of their integrals). This definition is not determined by maxitivity alone: additional requirements on the integral are necessary. The paper studies the consequences of additional requirements of invariance with respect to affine transformations of the real line.

引用

页码：226 / 235

页数：10

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