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Main topics of this dissertation are as follows:(1) In this paper, we re-interpreted the basic concept of classical rough set theory based on VPRS, we also analyse the features and process of the application of rough set theory in data mining and pointed out the direction of the research.

本文的主要工作包括：(1)在可变精度粗糙集理论下对经典粗糙集的概念进行了重新的诠释；分析了粗糙集理论在数据挖掘应用中的理论根据和基本原理，并点出了研究的方向。

The theory significance of conditional rough entropy in decision information system is discussed. The conditional rough entropy measures the partial uncertainty in decision information systems.

讨论了集合的条件熵在目标信息系统中的理论意义，集合的条件熵刻画了目标信息系统的局部的不确定性。

Chapter 2 is started from the basic theory of elastodynamics, the zero and the first order reflection and transmission coefficients of rough interface are derived in theory, and some numerical examples are given. Also dispersion characters of diffraction waves are discussed in the case of micro-rough interface in deep layers.

第二章从弹性动力学的基本理论出发，通过求解波动方程的定解问题，从理论上导出了地震波在粗糙界面上的零阶和一阶反射透射系数，并给出了数值算例；该章还讨论了深层微粗糙界面的绕射波的频散特征。

Secondly, the rough set theory and data preprocessing are introduced and the general application procedure of rough set theory in data mining is analyzed. Then the authors researches on data discretization and attribute reduction are introduced in detail.

然后，论文对粗糙集理论和数据预处理从理论和技术上做了一些介绍，并对数据挖掘中的各环节运用粗糙集理论的方法进行了分析；随后论文重点对作者在数据离散和属性约简两个方面做的研究工作进行了阐述。

It is thought by analyses that the cause of piebald wire is reffection diference of light at rough surface which is due to higher temperature and higher O 2 content in furnace in annealing of half finished product to make steel wire oxidation loss ,to make steel wire face rough after acid pickling.

分析认为形成"花丝"的原因是半成品在退火时由于炉温过高及炉内富氧造成氧化烧损、酸洗后的钢丝表面粗糙，对光的反射与正常表面不一样所致。

University ,Changsha 410075,HunanAbstract: In view of the deficiency in methods for choosing zonation indicators of mudflow danger degrees,a new method for choosing zonation indicators of mudflow danger degrees is put forward based on the rough set theory in this paper.Firstly,according to the environmental conditions of forming mudflows,an indicator choice system is established.Then the indicators for choice are discretized by indicator grading.Finally,based on the discernable matrix of the rough set,a core set of the indicators is found and the representative indicators are sieved out.

摘 要：针对现有泥石流危险度区划指标选取方法的不足，本文基于粗糙集原理，提出了一种新的区划指标选取方法，即首先根据泥石流形成的环境背景条件，建立备选指标体系，然后根据指标等级对备选指标离散化处理，最后利用粗糙集的分辨矩阵对指标进行求核约简，筛选出代表性指标。

Finally, some properties of rough set in quotient group are given and proved. The fourth chapter is the Roughness of Ring based on Ideal, a rough subring with respect to a ideal of a ring is discussed, and some properties of the lower and the upper approximations in a ring are studied.

最后，在商群中讨论了粗糙集的一些性质，并给出这些结论的严格证明；第四章是基于理想的环的粗糙，对一个环的子集关于理想的粗糙近似子环作了探讨，并研究了一个环的上、下近似的性质。

In this paper,with respect to the ordinal variables,the definitions of attribute reduction of dominance-based rough set approach in ordered information systems and ordered decision tables are given.Then the approach of sorting objects comprehensively using rough set theory is brought in to obtain a series of ranks.Based on these ranks,nonparametric methods to analyze correlation between two attribute subsets are introduced,and Spearman rank correlation coefficient is used as a measure of attribute correlation.Based on this measure,a new method of attribute reduction of ordered information systems and ordered decision tables is presented without changing the ordinal information of the universe.

针对有序尺度变量，给出了有序信息系统与有序决策表在优势关系下的粗糙集约简定义；利用粗糙集方法将对象综合排序，进而得到一组秩；根据这些秩，运用非参数统计的思想研究了两个属性子集之间的相关性，并将Spearman秩相关系数作为属性相关性度量；在不改变总体序信息情况下，给出了基于此度量对有序信息系统与有序决策表进行约简的新方法。

In real engineering, the two surfaces in sliding contact are rough. And it is an important theoretical part to calculate the coupled temperature and stress of sliding bodies having rough surfaces.

工程实际中，相互接触的滑动摩擦表面是粗糙的，对粗糙表面的瞬时温升和热－机械应力分析有重要的理论意义。

RESULTS: In the verapamil group, the fibroblast were round or oval, and there were tiny cell process, less alpha substance, atrophic and decreased rough endoplasmic reticulum in kytoplasm and abundant vesica. In control group, there were fusiform or polygon fibroblast, and much matrix among cells, abundant rough endoplasmic reticulum and ribosome in cytoplasm and less vesica were found.

结果：维拉帕米组神经瘢痕成纤维细胞呈球形或椭圆形，细胞突起细小，胞间网状物质少，胞浆中粗面内质网萎缩且数量减少，囊泡丰富；对照组成纤维细胞呈梭形或多角形，细胞间基质较多，细胞浆内粗面内质网及核糖体丰富，囊泡少见。

He knows that he's one of the mostdominant players in the NBA right now.

我知道他现在是联盟里最有统治力的球员之一了。

Using analysis method of BCG , the dissertation analyzed the management of voluntary service organizations .

利用BCG分析方法对我国的志愿服务组织管理进行了分析。