等价关系

The fuzzy entropy based on equivalent relation is extended to generalize the fuzzy entropy based on general binary relation, and the calculating formula and the equivalent expression of the generalized fuzzy entropy are also given.

并将基于等价关系的粗糙集的模糊熵拓展到基于一般二元关系下粗糙集的广义模糊熵，给出了广义模糊熵的计算公式及等效表示形式。

By applying the definition of coset , the author first defines that ρ is one of the equivalent relations in G, then gives the pro of that ρ is a congruence relation.

由陪集的定义解释问题，首先确定了ρ是G中的一个等价关系，然后给予了ρ是同余关系的几种证明。

By using theories of almost type functions,the theorem about relation of asymptotically periodic functions and asymptotically periodic sequences ,as well as the equipollence of vector-valued asymptotically periodic functions and almost periodic functions on R+ are obtained.

利用概周期型函数的理论，得出了渐近周期函数和渐近周期序列二者的关系定理，以及R+上的向量值渐近周期函数与概周期函数的等价关系。研究了渐近强周期函数空间、渐近周期序列空间的可分性质

To solve this problem,the equivalence relation of rough set theory is replaced by an asymmetrical similar relation,and from this relation,an asymmetrical similar matrix is defined,then a new heuristic algorithm with less space complexity that require core and knowledge reduction based on asymmetrical similar matrix is proposed,and an example is given to confirm the validity of the algorithm.

用非对称相似关系代替粗糙集理论中的等价关系，定义了非对称相似差别矩阵，提出了基于非对称相似差别矩阵的高效求核和知识约简算法。该算法无需改变初始不完备信息系统的结构，能直接处理缺省数据。实验结果表明，新算法所获得的决策规则简洁、高效，与缺省值无关。

Objects in the clustering process often have similarity relation instead of equivalence relation.

在图像聚类过程中的对象往往是具有相似关系而不是等价关系的对象。

Recall that an equivalence relation in a set is a reflexive, symmetric and transitive relation.

记得，一个等价关系，提出了一套是自反，对称和传递关系。

A preorder that is symmetric is an equivalence relation .

满足对称性的预序关系称为等价关系。

The experimental result indicates that the method can improve veracity and stability of image segmentation.

将原图象按等价关系进行划分，基于属性约简的概念对不同区域按照不可分辨关系分类。

Thirdly,we define a equivalence relation Rin the topology space X by the fibrewise function f ,and then we get the fibrewise quotient space X / R,we call it the fibrewise decomposition space of X .And last we discuss the relation between f and the natural mapping.

其三是，通过一个纤维映射f ： X→Y，在B上的纤维拓扑空间X中定义了一个等价关系R，得到X的纤维商空间X / R，称其为X的分解空间，最后也讨论了f与自然投射的关系。

In the extended model,ones use the similarity relations or some other specified binary relations instead ofusual equivalences.

在扩展模型中，等价关系被推广到了相似关系等二元关系。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。