不可测集

在非零有穷测度的条件下，近似空间中的一个广义粗集，是其扩展的测度空间中的不可测集。

Under the condition of non zero and finite measure , a generalized rough set is a nonmeasurable set in its extended measure space .

一维不可测集及其类的势

Nonmeasurable Set and the Cardinality of Its Class

勒贝格不可测集类Z的一些性质

The characteristics of Lebesgue not - measurable sets Z

Lebesgue不可测集构造法

Approach of structure of the non Lebesgue measurable set

Lebesgue不可测集的存在性及其应用

The existence of Lebesgue none-measure set and its applications

R~n空间中的Lebesgue不可测集和Lebesgue可测的非Borel集的几个性质

In R ~ n Space Several Properties of Lebesgue Non - measurable Sets and Lebesgue Measurable Non-Borel Sets

本文构造出一类Lebesgue不可测集和一类Lebesgue可测的非Borel集。

In this paper , We have constructed a class Lebesgue non-measurable sets and a class Lebesgue measurable non-Borel sets .

近似空间与测度空间及广义粗集与不可测集

Approximate Space and Measure Space , Generalized Rough Sets and Unmeasured Sets

二维不可测集的一个注记

A note about two dimension non-measurable set

纯不可测集类的基本性质

The basic properties of pure Nonmeasurable class

该文主要探讨一维不可测集的构造以及一维不可测集全体所组成的类的势。

This paper mainly concerns the construction of one-dimension nonmeasurable set and the cardinality of its class .

不可测集的几个注记

Notes for unmeasurable set

通过对不可测集的探讨，得到它的一些性质特征以及集合的一个一般的测度表示法。

After a careful discussion on unmeasurable set , this essay concluded its characteristics and a common measurement of the set .

在本文中，作者讨论了纯不可测集的基本性质，并给出了纯不可测集类在集合代数方而的结构。

In this paper , the author discusses some basic properties of pure nonmeasurable sets , and presents the algebraical construction of non - measurable class .

一维空间的不可测集的构造方法基本相同，本文通过将二维空间里的点其对应坐标为有理数的划分方法来确定亲和集，进而给出了一个二维的不可测集。

We know the structure way of the one-dimension no-measurable set , in this paper we first define a amicable set using a mapping , then we give a two-dimension non-measurable set .

在测度的平移不变性、选择公理的基础上，证明了不可测集的存在性，并举例说明不可测集的应用，加深了对测度理论的理解。

The existence of the none-measure set is proved by using the translation invariance of measure and the acknowledged truth of selection . Some applications are obtained to strengthen the understanding of Lebesgue measure theory .

证明了近似空间是测度空间的基础空间，广义粗集和不可测集分别是在近似空间和测度空间中对集合的不确定性的不同表述；

This paper extends the discuss to generalized rough sets and proves that approximation space is basic space of measure space , generalized rough sets and unmeasured sets are different descriptions of uncertainty of sets in approximation space and measure space respectively ;