粗糙集代数关系的图结构分析是粗糙集理论中又一研究方向。
The graphic structure analysis for algebraic relationship of rough sets is a new research direction of the rough set theory.
这些结果将粗糙集代数性质的研究扩展到右对合广群这个代数系统中。
Through these studies, the study of rough set's algebraic properties are spreaded to right involution groupoid.
在此基础上定义了模糊粗糙集代数，并讨论了模糊粗糙集代数的简单性质。
Based on this, the fuzzy rough set algebra is defined, and some simple properties of the fuzzy rough set algebra are discussed.
讨论粗糙集代数与格蕴涵代数的关系以及由粗糙集代数构造格蕴涵代数的方法。
The relation between rough set algebra and lattice implication algebra was studied, and the method of constructing lattice implication algebra from rough set algebra was presented.
定义了模糊粗糙集合理的补运算，从而利用公理化方法构造出推广了的粗糙集代数。
With the definition about reasonable complement operation of the fuzzy rough set, a expanded rough set algebra is constructed by using the method of formula.
借助近似代数上的原子及同余关系，证明了在适当选取余运算之后，粗集代数就构成伪补MS代数。
Based on the atoms and congruence relations of approximation algebra, it is proved that rough set algebra becomes pseudo-complemented ms algebra if proper complement operators are selected.
然后，一个while循环迭代数据集，在一个方便的数组中存储信息以便将来进行显示。
A while loop then iterates through the dataset, storing the information in a convenient array for later display.
习惯上拓扑学被分成点集拓扑、代数拓扑和微分拓扑三部分。
Topology is traditionally decomposed into three parts: General topology, Algebraic topology and Differential topology.
回路矩阵是一个资源有向图全部资源回路的代数描述，并且它与补集及t -特征向量矩阵相互等价。
Circle matrix is the algebraic description of all the resource circles in a directed graph, and equivalence reciprocally to that one of complementary set and T-characteristic vector.
布尔代数上何时存在正测度的问题，虽已有相对完整的结果，但多附有一些集论的假设条件。
When there is a positive measure on Boole algebra? This problem had more complete results, but they require some set-theoretic hypothesis usually.
主要定义两种新型算子并讨论基于这两种新型算子的粗糙集的代数性质。
In this paper, two new operators are defined and the algebra properties of the rough set based on these two operators are discussed.
本文中，我们证明了作为泛代数的半格的定义与作为偏序集的半格的定义是等价的。
In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.
对准循环Q矩阵和完全循环差集进行了研究，在此基础上提出了一种LDPC码码族的代数构造方法。
This paper presents an algebra method for constructing LDPC code based on Vandermonde matrix, which includes quasi-cyclic Q matrix and the perfect cyclic difference sets.
首先在NML代数上引入MP -滤子与素滤子的概念，进而讨论了滤子和素滤子的基本性质，最后在全体素滤子之集上建立了拓扑结构。
Firstly the concepts of MP-filters and prime filter in NML algebras are introduced, and then topological structure of the set of all prime filters of NML algebras are discussed.
用文中提出的体绘制算法绘制了三元数法和四元代数法所构造的三维M集。
Finally, the 3-d M-sets generated by the ternary number and quaternion algebra are both rendered by our new algorithm.
由于集值算子在现代数学的广泛应用，本文还研讨了关于集值算子方程解的存在性；
Due to the wide applications of setvalued operators in modern mathematics, the solvability of the setvalued operator equations are studied.
首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。
In this paper, some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.
本文主要讨论了线性拓扑空间中集合的固有代数边界点集的性质。
The properties of the proper algebraic boundary point sets of the sets in topological linear Spaces were discussed.
讨论近似空间中的孤点对其代数结构以及粗相等的清晰集刻画的影响。
The influences of isolated points on algebraic structure of approximate space and description of rough equality by crisp sets are discussed.
利用代数思想及方法证明直觉模糊群的诱导商集也是直觉模糊群。
By using algebraic methods, it was proved that the induced quotient set determined by an intuitionistic fussy group was still an intuitionistic fussy group.
采用布尔代数化简法求出系统的最小径集，给出了事故树中基本事件的结构重要度分析结果。
The minimal path sets (MPS) are achieved by Boolean algebraic simplification calculation. The authors put forward the analyzing result of the structural significance of the basic event.
针对不同的变量类型，首次提出了数值型变量的区间集表示和基本运算方法，定义了布尔型区间代数和引用型区间代数；
The concept of numeric interval-set is proposed for the first time, and fundamental operations on interval-sets are defined.
利用代数的方法获得了共点有限向量集的一类几何不等式 。
A research into the semi-norms on a finite-dimensional vector space;
利用代数的方法获得了共点有限向量集的一类几何不等式 。
A research into the semi-norms on a finite-dimensional vector space;
应用推荐