A METRIC ON SPACE OF MEASURABLE FUNCTIONS AND THE RELATED CONVERGENCE

被引：7

作者：

Li, Gang ^{[1
]}

机构：

[1] Shandong Inst Light Ind, Sch Math & Phys Sci, Jinan 250353, Shandong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2012年 / 20卷 / 02期

关键词：

Non-additive measure; metric; convergence; Choquet integral; subadditivity; FUZZY MEASURE; CHOQUET; SEQUENCES; THEOREMS;

D O I：

10.1142/S0218488512500109

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A new metric is proposed on the space of measurable functions in the setting of nonadditive measure theory. The convergence induced from the metric can be used to describe the convergence in measure for sequences of measurable functions. Furthermore, the space of measurable functions is complete under the metric.

引用

页码：211 / 222

页数：12

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