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模糊测度的伪距离生成性质和依测度收敛

李军

东南大学学报(英文版)2000,Vol.16Issue(2):74-79,6.
东南大学学报(英文版)2000,Vol.16Issue(2):74-79,6.

模糊测度的伪距离生成性质和依测度收敛

Pseudometric Generating Property of Fuzzy Measures Convergence in Fuzzy Measure

李军1

作者信息

  • 1. 东南大学应用数学系,南京 210096
  • 折叠

摘要

Abstract

The relations among three kinds of structural characteristics of fuzzy measure:(1) pseudometric generating property;(2) pseudometric generating property of type p;(3) null-null additivity,and the convergence for sequence of measurable function on semi-continuous fuzzy measure space are discussed.A set of equivalent conditions for each of these structural characteristics are presented,respectively.It is proved that null-null additivity is equivalent to pseudometric generating property for a finite fuzzy measure on S-compact space.

关键词

模糊测度/伪距离生成性质/零-零可加性/依测度收敛

Key words

fuzzy measure/pseudometric generating property/null-null additivity/convergence in measure

分类

数理科学

引用本文复制引用

李军..模糊测度的伪距离生成性质和依测度收敛[J].东南大学学报(英文版),2000,16(2):74-79,6.

基金项目

The project supported by the State Education Commission of China. ()

东南大学学报(英文版)

1003-7985

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