查询词典 lattice bracing

In this chapter,it investigates a new representative theorem under the condition of which themembership degree's lattice is only complete lattice.

本章也正是在值格仅为完备格的条件下，研究一种新的模糊集表现定理。

But there is one thing we can come to understanding, the re-sult is more significant when the membership degree's lattice is complete lattice.

但有一点在诸文献中可以达成共识，即值格是完备格时才更有意义。

The main results of this paper are given as follows: In the first chapter , the concept of fuzzy filter is introduced. Some of its properties are investigated. The structure of fuzzy filters is discussed and it is proved that the set of all fuzzy filters of a residuated lattice is a distributive and complete lattice .

本文的主要内容如下：本文的第一章在剩余格中引入了Fuzzy滤子的概念，得到了它的一些特征性质；给出了Fuzzy滤子的结构，证明了剩余格中的Fuzzy滤子之集构成完备的分配格；利用Fuzzy滤子的特有结构，在剩余格中定义了Fuzzy滤子间的两个运算""，""

However, due to the immense data, heterostructure and multiplicity of data types, complicated data structures in databases are available in the real world, those have made association rule mining face a lot of challenges, therefore, the complete concept lattice model is introduced to the study of association rule mining in the dissertation, and some studies are made on concept lattice model, algorithms, and data reduction etc.

然而，由于现实世界数据的海量、异构和数据类型的多样性、结构的复杂性等特点，对关联规则挖掘的研究提出了新的课题。本文将具有完备特性的概念格模型引入到关联规则挖掘的研究，针对关联规则挖掘的模型、方法以及数据归约等方面开展了研究，主要内容及创新工作如下：1。

In this paper, we will investigate the matrix equation in composition over a complete Brouwerian lattice. First, we give an equivalent condition for the solvability of this equation, i.e. theorem 2.2.3 in this paper: The matrix equation in composition over a complete Brouwerian lattice is solvable iff is the minimal solution of this equation.

本文主要探讨完备Brouwer格上的型矩阵方程，首先给出该类矩阵方程可解的一个等价条件，即本文的定理2.2.3：完备Brouwer格上的型矩阵方程可解的充要条件是是它的解，且是最小解。

Firstly, this paper discusses the representation theorems which based onunion-intersection-preserving mapping and intersection-union-preserving map-ping respectively, under the condition of which the membership degree's lattice isonly complete lattice.

本文首先讨论在模糊集的值格仅为完备格时，分别基于并交映射和交并映射的模糊集表现定理。

And based on those measures two I/O linear scalable feature selection algorithms, StaFSOS and EnFSOS, are accurately constructed. 2 On the basis of Quotient Space theory and EnFSOS , granular transformation RBF classification model, GTM-CORBUNfast is constructed. The correctness of this model is proved by complete partial lattice, lattice tree search and property preserved theorems.

二、根据商空间理论，结合本文在特征选择和RBF神经网络的研究结果，给出了基于粒度变换的分类器构造模型GTM-CORBUN〓，并证明了其对应粒度变换的完备半序格、格树搜索和分类判别函数的性质保持性定理。

Ringrose began to study nest algebras in the 1960s, many people have devoted themselves to the study of non-selfadjoint and reflexive operator algebras including nest algebras, commutative subspace lattice algebras, completely distributive subspace lattice algebras and so on, and obtain a lot of beautiful achievements.

自从60年代J.Ringrose开始研究套代数以来，人们对套代数、交换子空间格代数和完全分配子空间格代数等非自伴自反算子代数进行了深入研究，并且取得了大量出色的研究成果。

Because Horn-clause logic theory is of significance in both respects of theory and application, We especially studied lattice-valued Horn-clause logic with truth-value in lattice implication algebra, and the soundness and completeness theorem have been proved.

经典逻辑中，Horn子句逻辑理论具有广泛的应用，因而，本文中特别建立了基于格蕴涵代数的格值-类Horn子句逻辑，并证明了可靠性和完备性定理，这为建立一类基于格值逻辑这种非经典逻辑的人工智能语言将产生重要的作用。

Lattice reduction is not only an important task of lattice research but also a powerful tool for cryptology.

Lattice ；格基规约是格理论研究的一个重要内容，也是密码设计和分析中的一个重要工具。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。