A binary relation on a set that is reflexive and symmetric is called a compatible relation. 一个集合上的二元关系,如果它是自反的也是对称的,可称它为相容关系。
A reflexive relation that is also transitive is a preorder. 满足传递性的自反关系称为预序关系。
Matrix to determine whether it is reflexive and symmetric, Discrete Mathematics in the binary relation. 判断矩阵是否是自反的,对称的,离散数学中的二元关系。
Rough Entropy and Granularity Measure to Incomplete Information System Under the Reflexive Binary Relation 自反二元关系下不完备信息系统的粗糙熵及粒度度量
The Treatise on the Matrix Representation of Bivariate Recurrence Sequences and Combinatorial Inversion; A binary relation on a set that is reflexive and symmetric is called a compatible relation. 二元迭代关系的矩阵表示与组合反演关系理论一个集合上的二元关系,如果它是自反的也是对称的,可称它为相容关系。
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。
At last, the reflexive matrix contracting based square algorithm is presented for calculating the transitive closure of the general binary relation, and the procedure of it is showed through an example. 最后,利用上述结果给出一种求解布尔矩阵传递闭包的基于自反矩阵构造的平方算法,并通过实例说明了其具体计算过程。
Theorems of Fixed points in Fuzzy Reflexive Relation Fuzzy自反关系的不动点定理
This paper gives a new concept of reflexive closure of fuzzy relation and symmetric closure of fuzzy relation, and also gives operation method and properties about it. 本文定义了模糊关系的自反闭包、对称闭包概念,同时给出了模糊关系的自反闭包、对称闭包的运算方法及性质.打破了在原有的模糊关系只有传递闭包的局面。
If a relation-of a nonempty set A satsfies: ( 1) reflexive property,( 2) symmetry, and ( 3) transitivity, then-is called an equivalence relation of A. 对非空集合A,若关系~适合(Ⅰ)自反性,(Ⅱ)对称性,(Ⅲ)传递性,则称~为A的一个等价关系。
In addition, rough entropy which is based on fuzzy reflexive relation is discussed by the cut sets. 另外,运用截集的思想讨论了模糊自反关系下的粗糙熵,并给出了粗糙熵的一种新定义。