商集

商集与商集的基本运算

Quotient set . and fundamental operation of quotient set

商集是关系代数中的一个重要概念，在计算机科学和技术、信息科学和信息工程中都有广泛的应用。

Quotient set is one of the most important conception of relational algebra . It is widely used in computer science and technology information science and information engineering .

R是A上等价关系，R的所有等价类构成了等价关系R的商集A/R，商集A/R是集合A的划分。

R is equivalent relation on A. A / R & the quotient of equivalent relation R is formed of all the equivalence class of R quotient set . A / R is the partition of set A.

一类等价关系的商集的研究

Studying quotient set of a sort of equivalence relation

介绍了完全分配格、交连续格的商集、子代数、同态的概念。

The following concepts are introduced : quotient , subalgebra and homomorphism of completely distributive lattices and meet continuous lattices .

引入直觉模糊群关于它的正规子群的诱导商集的概念；

The concept of the induced quotient set determined by an intuitionistic fussy group on its normal subgroup was introduced .

通过对二元关系核运算性质的研究，定义出任何一个二元关系的商集。

Through study on Rernel operation nature of duality relation , the definition of quotient set for every duality relation was presented .

根据商集的结构和性质，给出了商集乘法运算结果的两种表达方式。

According to quotient set 's structure and nature , it gives two expressions of the operation result of quotient set 's multiplicable operation .

该方法首先采用遗传算法求出属性阈值的最优组合，然后分别建立属性和对象的特殊矩阵，最后求出属性的相对约简和对象的相对商集。

First we can use genetic algorithms to search for the optimal threshold set , then we build special matrix for attributes and objects . Finally we can get the relative reduction of attributes and relative absorbent set of objects .

欧文在《纽约外史》里把它描写成利欲熏心的杨基商人群集之地。

In his " History of New York ", Irving pictured it as a region of unscrupulous Yankee traders .

正则集对任意集的无穷次商仍是正则集。

If either set is regular and the other is arbitrary , then the infinite quotient is regular .

河南省社旗县山陕会馆是反映清代商贾文化集中国古代南北建筑风格于一体的雄伟建筑群。

Shanshan - guildhall , an architectural group located in Southwest Henan province , is a jewel of the ancient architectural and decorating art reflecting the merchant culture of Qing Dynasty .

中国联通是中国三大电信运营商之一，提供集宽带、固话及移动通信业务为一体的全业务通信服务。

China Unicom is one of the leading telecommunication operators in China , providing integrated telecommunication service in terms of broadband , fixed-line and mobile communication .

基于粒度计算模型，结合商空间和粗糙集理论，对缺省训练样本数据集进行投影和粗粒度处理，使得投影后的系统成为决策确定性系统。

Based on Granular Computing model , the union theory of Quotient Space and Rough Set theory , the projection and coarse granularity processing to the default training sample data set , enables the system processed to become the policy-making definite system .