在这种相似性度量方法基础上，证明了粗集的等价关系可以被转化为模糊等价矩阵。
Based on the method of similarity measure, it proves that the equivalence relation of rough set can be transformed into fuzzy equivalence matrix comp.
通过引入模糊等价矩阵来表示高维样本之间的相似程度，并将高维样本映射到二维平面。
By introducing a fuzzy equivalence matrix to the similar degree among samples, the high dimensional samples were mapped to two dimensional planes.
现实的分类问题往往伴有模糊性，对具有相似关系的元素进行分类，需要将相似矩阵改造为等价矩阵。
To classify the elements with similar relation, it is necessary to transform the similar matrix to equivalence matrix.
提出一种利用求传递闭包来构造直觉模糊等价矩阵的方法，证明了直觉模糊相似矩阵定理及传递闭包定理。
An approach to formation of IF equivalent matrixes by finding the transitive closure is presented with the proof of theorems of transitive closure and resembling matrix.
该方法利用相似系数在各构件的耐久性指标序列之间进行相似性度量，并形成了具有分类功能的模糊等价矩阵。
The method measures the similarity of durability index series of components by the use of similarity coefficient and forms a fuzzy equivalence matrix with sort function.
与此同时，分别设计了模糊系统聚类法和模糊等价矩阵法两种模糊网络模式识别方法对局部放电信号进行识别，作为局部放电模式识别对比实验。
At the same time, fuzzy hierarchical clustering and fuzzy equivalence matrix method based on fuzzy logical are designed for partial discharge pattern recognition as contrasting experiment.
最后证明了属性约简在布尔矩阵和代数两种不同表示下是等价的。
Finally, the equivalence properties between Boolean matrix representation and algebra representation of attribute reduction are proved.
本文应用形式矩阵的计算技巧，得到李善兰恒等式的一个等价命题，进而给出李善兰恒等式的一个初等证明。
In this article we apply formal matrices technique to get a equivalent proposition of Li Shanian identity, and hence give an elementary proof for Li Shanlan identity.
矩阵的合同关系、相似关系都是等价关系。
Both congruent and similarity of matrix are equivalence relations.
二次型化标准形常采用配方法，而二次型化标准形等价于它的矩阵合同对角化，文中利用初等矩阵和初等变换之间的关系。
Method of completing square is often used when transforming a quadratic form into a normal one, whose process is equivalent to making the relevant matrix contract diagonal.
本文定义了完全可逆矩阵，并给出它的一个等价条件及其一些性质。
This paper defines totally nonsingular matrix and get its equivalent condition and some qualities.
本文找到了有限阶随机矩阵为离散骨架的一个比较初等的等价条件；
An equivalent condition for a finite order stochastic matrix to be a discrete skeleton is found in this paper.
本文引入矩阵的若干等价关系，并对其中之一——拟相似作了进一步研究。
In this paper, a number of equivalent relations of matrices are introduced and one of them called quasi-similarity is studied.
采用追踪法计算等价模糊矩阵，并提取聚类后的脉冲序号，更具有实际意义。
The equivalent fuzzy matrix was calculated with the tracking method and the serial number of the pulses was obtained, these have greater practical significance.
为此首先基于矩阵分解构造出新的参数化方程，选取必然等价自适应控制律。
First, a new type of parameterization equation is constructed based on matrix factorization and the certainty-equivalence adaptive control law is chosen.
接着对分布约简的可辨识矩阵中等价类的区分关系进行改进，提出一种新的近似约简算法。
Secondly, it introduces an improved algorithm which revises the discernibility relation of similarity sets on the basis of the Discernibility Matrix of distribution reduction.
本文引进了同馀矩阵的新概念，并讨论了它的等价变换。
A new concept of congruent matrix is introduced in the paper and its equivalent transformations are discussed.
同时利用属性加权频率和强等价集概念化简区分矩阵，既减小了计算复杂度又提高了约简效率。
Both of attribute weight frequency and strong compressible set are used to simplify discernibility matrix so that computing complexity is decreased and reduction efficiency is.
同时利用属性加权频率和强等价集概念化简区分矩阵，既减小了计算复杂度又提高了约简效率。
Both of attribute weight frequency and strong compressible set are used to simplify discernibility matrix so that computing complexity is decreased and reduction efficiency is increased.
给出并证明了实幂等矩阵的九个等价条件，以及实对称幂等矩阵的一个等价条件。
Nine equivalent conditions of real idempotent matrix are given and proved, and one equivalent condition of real symmetric idempotent matrix is also given in this paper.
利用实对称矩阵的半正定之等价条件给出了复正半定矩阵的几个等价条件。
Some equivalent representations of complex positive semi definite matrices are given by using equivalent conditions of positive semi definite of real symmetric matrix.
本文证明了循环矩阵等价于周期矩阵，而本原矩阵等价于非周期矩阵。
This paper prove which, that cyclic matrix equivalent to periodic matrix and primitive matrix equivalent to aperiodic matrix.
采用线性矩阵不等式和多凸性处理方法，证明了该问题等价于线性矩阵不等式的可解性问题。
In terms of multiconvexity and linear matrix inequality, this problem is proved to be equivalent to an LMI feasible problem.
本文提出了互连网络拓扑等价的图分析法和描述网络逻辑名结构的逻辑名矩阵。
The graph analysis method for topological equivalence of interconnection networks, and the concept of logical name matrice for describing logical name structure are proposed.
主要对定义在一般数域上的3 -幂零矩阵的相似等价类的个数问题进行探讨。
In this paper, we mainly discuss the enumeration problem of the equivalence class of 3-nilpotent matrix defined in normal number fields.
针对差别矩阵求约简过程中合取范式向析取范式等价转换的难题，提出一种基于差别矩阵构造约简树的有效方法。
Aiming at the problem of equivalent conversion from conjunctive normal form to disjunctive normal form, an effective algorithm was proposed to construct reduction tree based on discernibility matrix.
根据模糊等价关系的性质，推得模糊等价关系矩阵的两个性质。
The two properties of the matrix of fuzzy equivalence relation are proved according to the property of fuzzy equivalence relation .
将粗糙集理论和传统图论相结合，给出基于粗糙集思想的传统图的等价定义及粗糙图的定义，并进一步给出了粗糙图的矩阵表示及粗糙图的粗糙性分析。
By combining the rough set theory with the traditional graph theory, the equal definition of classical graph is presented based on the idea of rough set theory.
将粗糙集理论和传统图论相结合，给出基于粗糙集思想的传统图的等价定义及粗糙图的定义，并进一步给出了粗糙图的矩阵表示及粗糙图的粗糙性分析。
By combining the rough set theory with the traditional graph theory, the equal definition of classical graph is presented based on the idea of rough set theory.
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