闭等价关系

The issues of Intuitionistic Fuzzy resembling relations and the construction of IF equivalent matrixes get deeply into investigation, and a method for constructing IF equivalent matrixes by finding the transitive closure is proposed with a related proof in theory.

对直觉模糊相似关系和等价矩阵构造问题进行了深入研究，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，并从理论上给出了相关证明。

In the paper, the kinds of reachability notions are defined and charactered firstly in their matrices and graphs. By the discussion of the matrix standard form and its transitive closure, the relation among the maximum partial reachability sets, the standard form of the matrix and its transitive closure are posted and the network partial reachability is based. The standard form provides methods for the improvement of the network reachability.

本文首先定义了诸可达概念及其等价刻画，通过布尔阵标准型及其传递闭包的讨论，揭示了网络极大局部可达集与矩阵标准型、传递闭包的关系，建立了网络局部可达的框架结构，并通过标准型为改善网络可达性提供方法。

of transitive closure based on equivalence relation, method of maximum fuzzy spanning tree based on fuzzy graph, and algorithm Fuzzy C-Means based on partition are more deeply investigated. Respectively, this thesis proposes an algorithm for document fuzzy clustering based on methed of transitive closure and an algorithm for document fuzzy clustering based on methed of maximum fuzzy spanning tree. Moreover, FCM is particularly studied from data standardization method, metrics method, and selection method of initial clustering prototype.

较深入地讨论了基于等价关系的传递闭包法、基于模糊图论的最大树法以及基于划分的模糊C-均值算法，分别提出了基于传递闭包法的文本模糊聚类方法ATCFC和基于最大树法的文本模糊聚类方法ATCMT；重点从改变规格化方式、改变度量方式、改变初始聚类原型选择方式三方面对FCM算法进行研究。

Weak. Then the relations among rank-weak maps, independent set-reflected maps and closed set-reflected are studied. The isomorphism between matroids is characterized by these new maps, which shows that both weak map and rank-weak map are appropriate morphisms for matroids.

讨论了秩弱映射、反射独立集的映射以及反射闭集的映射之间的关系，利用这些映射给出了拟阵同构的等价刻画，说明了弱映射和秩弱映射也是合适的拟阵态射。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。