可测函数

Fuzzy值可测函数及其构造

The Fuzzy Valued Measurable Function and its Constructions

提出复Fuzzy测度、复Fuzzy可测函数及复Fuzzy积分等概念，并讨论了其性质与收敛定理。

In this paper , the authors advance several new concepts such as complex fuzzy measure , complex fuzzy measurable function and complex fuzzy integral etc , and then discuss their properties and convergence theorem .

Banach空间中强可测函数的选择定理

Selection Theorm of Strongly Measurable Functions in Banach Space

最后，给出了两个模糊可测函数的（N）模糊积分相等的充要条件。

A necessary and sufficient condition on which the ( N ) fuzzy integrals of two fuzzy measurable functions on fuzzy sets are always equal is given .

关于局部紧T2型拓扑空间X上的贝尔函数与贝尔可测函数关系的几点注记

Some Remarks on the Relationship Between Baire Function and Baire Measurable Baire Function on Locally Compact T_2 Topological Space X

借助于σ可测函数关于F测度的平均值，把模糊矩阵对策转化为矩阵对策，并定义了模糊矩阵对策的解与值。

The fuzzy matrix games are changed into the matrix games problem by an average value , the solution and value of fuzzy matrix games are defined .

R~N是具有光滑边界的有界区域，函数f：（？）×R→R是局部有界的可测函数且在无穷远处是超线性或渐近线性的。

R ~ N is a bounded domain with smooth boundary , f : (Ω | - ) × R → R is locally bounded and is super-linear or asymptotically linear at infinity .

首先，取标准布朗运动过程X（t）为基础过程，然后用满足一定条件的Borel可测函数f，把X（t）进行变换而得到新的随机过程f（X（t））。

In the first part , a standard Brownian motion processes X ( t ) is taken as a basic processes , and we shall deal with stochastic Processes f ( X ( t )) that are transformed by Borel measurable function f satisfying certain conditions .

本文推广了Lebesgue积分理论和Bochner积分理论：从Banach空间到拟完备的局部凸空间，从可测函数到拟稳定函数.函数的拟稳定性是必要且充分的。

In this paper the Lebesgue integration theory and the Bochner integration theory are extended from Banach spaces to quasi-complete and locally convex spaces and from measurable functions to quasi-stable functions . The quasi-stability of functions is necessary and sufficient .

单调集函数的连续性与可测函数序列的收敛

Continuity of Monotone Set Function and Convergences of Measurable Function Sequence

关于可测函数列的收敛性问题的教学研究

Teaching Research on the Convergence of the Sequence of Measurable Functions

积分总极值方法在有界可测函数上的推广

Extension of Integral-Level Set Method for Global Optimization to Bounded Measurable Functions

可测函数序列的几种收敛间的关系

The convergence relationships of several kinds of measurable function sequence

模糊数值模糊可测函数定义的注记

Note on the definition of fuzzy number-valued fuzzy measurable functions

M-估计量的收敛性求可测函数的总体极小值方法的收敛性分析

CONVERGENT OF M-ESTIMATORS Convergence Analysis for Solving Global Optimization of Measure Function

可测函数列的近一致收敛性

Near Uniform Convergence of a Sequence of Measurable Functions

可测函数列关于谱测度几乎处处收敛的若干特征

On Almost Everywhere Convergence of the Sequence of Measurable Function for Spectral Measure

可测函数集的代数结构

The algebraic structure of the set of measurable functions

可测函数族的确界函数的可测性

The Measurability Supremum Function in Measurable Function Family

单调半环上的半可测函数

The half measurable function on monotonic half ring

可测函数的判定与实例

A Conclusion and Example of Measurable Function

可测函数与零测度集

Measurable Function and Zero Measure Set

第二节给出某些有关随机泛函分析及取值于抽象空间的可测函数的预备知识；

Section 2 to some preliminaries from random functional analysis and abstract space valued measurable functions .

本文给出可测函数列几乎处处收敛的一个充要条件。

The paper provides a necessary and sufficient condition of sequence of measurable functions almost everywhere convergent .

可测函数列在无限测度集上依测度收敛乘除成立的条件

The condition of multiplicating and dividing the convergence in measure of the measurable function sequence on infinite measurable set

利用本质下确界的概念以及勒贝格积分的特性，将积分总极值方法推广到了有界可测函数上，提出了针对有界可测函数的理论算法，并给出了其最优性条件。

An integral-level set conceptual algorithm is proposed for bounded measurable functions , and an optimality condition is obtained .

应用测度论的知识，给出了非独立随机变量可测函数的期望积分的转换定理的一个证明。

The proof of non independent variable function expected integral transference theorem is given by measure theory in this paper .

带下降方向搜索的总极值方法积分总极值方法在有界可测函数上的推广

An Algorithm for Finding Global Minimun with Descent Direction Extension of Integral-Level Set Method for Global Optimization to Bounded Measurable Functions

有限测度集上，可测函数列依测度收敛乘除在一定条件下恒成立。

On finite measurable set , convergence in measure of the measurable function sequence can be multiplicated and divided under appropriate condition .

初始函数是一般有界可测函数时，给出了初始直线上激波产生的一定结果。

Hen the starting function is a general limited testable function , some certain results produced by the surging wave on the starting straight line are given .