粗糙的

Considering that the classical rough set theory can only process the discrete data, the degree of general importance of an attribute and attribute subsets was presented. And then a generalization rough set theory was proposed based on the general near neighborhood relation.

针对经典粗糙集理论仅能处理离散化数据的局限性，提出属性和属性子集的广义重要度的概念以及空间中的广义近邻关系，并提出了广义近邻关系下的广义粗糙集扩展模型。

At the same time, some properties of rough Set in quotient ring are given and proved. The fifth chapter is Rough Primary Ideals and Rough Fuzzy Primary Ideals in Semigroups, the concept of rough primary ideals and fuzzy rough primary ideals in semigroups are introduced. Under the condition of the complete congruence relation, a rough set of a primary ideal in semigroups is proved to be its primary ideal.

同时，在商环中讨论了粗糙集的一些性质，并给出这些结论的严格证明；第五章是半群中的粗准素理想和粗模糊准素理想，首次提出了半群中的粗准素理想与粗模糊准素理想的概念，证明了在完备同余关系下，半群中准素理想的粗糙集是准素理想。

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。

Classic rough set theory based on equivalence relation takes complete system as object of study , and divides the region into some non-intersect equivalence class; But, in the real life, because of the errors in data measuring, understanding of data, or the restriction in data collection , it can make the decision-making system incomplete, that is, value of attribution of some objects is unknown, which restrains development of the theory to practical direction.

经典粗糙集理论以完备系统为研究对象，以等价关系为基础，通过等价关系将论域划分为互不相交的等价类；然而，在现实生活中，由于数据测量的误差，对数据理解或获取的限制等原因，使得在知识获取时往往面临的是不完备系统，即可能存在部分对象的一些属性值未知的情况，这就极大地限制了粗糙集理论向实用化方向发展。

Rough set theory and factor space are all applied worldly. The partition determined by equivalence relation is the same as knowledge in rough set theory, that is, knowledge is regarded as a partition of data.

粗糙集理论和因素空间在各个方面有着广泛的应用，由于粗糙集理论将等价关系对空间的划分与知识等同，即将知识理解为对数据的划分，任何U的子集称为U中的一个概念或范畴。

In this paper a discretization algorithm based on importance of cut point. Firstly, the paper gives some concept of rough set theory:decision table,indiscernible relation,information entropy and condition entropy.

粗糙集理论可以用在数据挖掘的各个阶段，该文研究了粗糙集理论在数据挖掘的数据离散化阶段的应用，并提出了一个新的决策表离散化算法。l 基本概念及离散化问题的描述定义1 。

In view of the existing problems of traditional resource allocating networks, a design method for RAN based on rough set and orthogonal least square was proposed. Firstly, rough set was applied to intelligent data analysis for extracting typical characteristics from the training samples, and then OLS was used to select best centers as the hidden layer nodes.

针对常用的资源分配网络存在的问题，提出了一种基于粗糙集和正交最小二乘的资源分配网络设计方法，通过粗糙集数据分析与处理提取训练样本中典型的数据特征，再结合正交最小二乘学习算法选取对输出能量贡献最大的数据中心加入到隐层节点。

The main contributions and innovations in this dissertation are as follows:(1) The uncertainty of knowledge and rough set is discussed and a fuzzy entropy measure method based on boundary region is put forward. It redefines knowledge rough entropy and rectifies the definition of rough entropy of rough set.

论文的主要贡献及创新如下：(1)对知识和粗集的不确定性进行了深入研究，提出一种基于边界域的模糊熵度量方法，重新定义了知识粗糙熵并修正了粗集粗糙熵的定义。

When new concrete with higher strength grade is cast, the higher the roughness of old concrete fracture surface is, the higher the interfacial bond strength of old-new concrete is.

结果发现：用分数维来表征老混凝土表面的粗糙度，其预测结果精度较高；在粗糙度较高的老混凝土表面上浇注较高强度的新混凝土，获得的新－老混凝土界面粘结强度较高。

Inunderwater acoustic research specially in shallow-sea acoustic,the scatteringon different rough surface is important factor affecting underwater environmentand background.

粗糙表面声散射在很多领域均有重要的应用，水声研究中尤其是浅海声学的研究，各种粗糙界面的散射更是影响水下环境和背景的重要因素。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷