- 更多网络例句与完备滤子相关的网络例句 [注：此内容来源于网络，仅供参考]
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The study of lattice implication algebras On the basis of previous results of lattice implication algebras, we firstly studied some properties of implication filters, prime implication filters, maximal implication filters and ultrafilters. Then we laid stress on the study of two kinds of relatively general lattice implication algebras, i. e. complete and atomic lattice implication algebra and injective lattice implication algebra.
关于格蕴涵代数的研究本文在已有的格蕴涵代数研究结果基础上，首先研究了格蕴涵代数中蕴涵滤子、素蕴涵滤子、极大蕴涵滤子和超滤等的性质和相互的关系，然后重点较系统地研究了两类覆盖面较广的格蕴涵代数：完备的且原子的格蕴涵代数和内射的格蕴涵代数。
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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""，""
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Chapter one: Provide the simple introduction to basic conceptions and properties used in the article about MTL-algebra; prove the set of all the filters form a complete distribution lattice in MTL-algebra; Discussion some property characteristics of Boolean filter, at the same time introduce the conceptions of positive implicative filter and obstinate filter, receive some properties of them, discuss the relation between the important filters and their equivalent condition.
第一章：对文章中用到的关于MTL-代数的基本概念和性质给出简单的介绍，证明了MTL代数中的全体滤子之集构成一个完备的分配格；讨论了布尔滤子的一些性质特征，同时引入和固执滤子的概念，得到它们的一些性质，探讨了几类重要滤子之间的关系。
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Zadeh put forward, make MTL-algebra"s filter conception fuzzified, provide the conceptions and properties of fuzzy filter, obtain the structure of all fuzzy, filters, prove that the set of all fuzzy filters forms a complete distribution lattice; Provide several fuzzy Boolean filter"s equivalent forms, introduce fuzzy positive implicative filter, fuzzy obstinate filter and fuzzy ultra filter, discuss some property characteristics and terms that transform each other under certain terms to obtain them.
Zadeh提出的模糊集思想使MTL-代数的滤子概念模糊化，给出了Fuzzy滤子的概念和性质，得到了全体Fuzzy滤子的结构，证明了全体Fuzzy滤子之集构成完备的分配格；给出了Fuzzy布尔滤子的若干等价形式，并且引入了Fuzzy正蕴涵滤子，Fuzzy固执滤子和Fuzzy超滤的概念，得出了它们的一些性质特征以及在一定条件下之间相互转化的条件。
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Based on the outcome of Xu Yang and Qin Keyun about lattice implication algebra and lattice-valued prepositional logic LP with truth-value in a lattice implication algebra, the author studied the properties of lattice implication algebra and the α-automated reasoning method based on α-resolution principle of LP. The specific contents are as follows: The Study of Lattice Implication Algebra On the basis of previous results of lattice implication algebra, this part consists of the following three points: 1. Some properties of lattice implication algebra L were discussed, and some important results were given if L was a complete lattice implication algebra. 2. The properties of left idempotent elements of lattice implication algebras were discussed, and the conclusion that lattice implication algebra L was equals of the directed sum of the range and dual kernel of a left map constructed by a left idempotent element was proved. 3. The properties of the filters of lattice implication algebra were discussed, the theorem was shown that they satisfy the hypothetical syllogism and substitute theorem of the propositional logic. 4. The concept of weak niters of lattice implication algebras and their properties and structures are discussed. It is proved that all weak filters of a lattice implication algebra form a topology and the the implication isomorphism betweem two lattice implication algebras is a topological mapping between their topological spaces. The Study of α-automated reasoning method based on the lattice-valued propositional logic LP In this part, the author given an a-automated reasoning method based on the lattice-valued propositional logic LP.
本文基于徐扬和秦克云的关于格蕴涵代数和以格蕴涵代数为真值域的格值命题逻辑系统LP的研究工作，对格蕴涵代数以及格值命题逻辑系统LP中基于α-归结原理的自动推理方法进行了系统深入的研究，主要有以下两方面的研究成果：一、关于格蕴涵代数的研究 1、对格蕴涵代数的格论性质进行了研究，得到了当L为完备格蕴涵代数时，关于∨，∧，→运算的一些结果； 2、对格蕴涵代数的左幂等元进行了研究，证明了格蕴涵代数L可以分解为任何一个左幂等元所对应的左映射的像集合与其对偶核的直和； 3、对格蕴涵代数的滤子的性质进行了研究，证明了滤子的结构相似于逻辑学中的Hypothetical syllogism规则和替换定理； 4、给出了格蕴涵代数中弱滤子的概念，对弱滤子的性质个结构进行了研究，证明了格蕴涵代数的全体弱滤子构成一个拓扑结构，格蕴涵代数之间的蕴涵同构是相应的拓扑空间之间的拓扑映射。
- 更多网络解释与完备滤子相关的网络解释 [注：此内容来源于网络，仅供参考]
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sigma compactness：紧性
sigma compact space 紧空间 | sigma compactness 紧性 | sigma complete filter 完备滤子
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sigma complete lattice：完全铬
sigma complete filter 完备滤子 | sigma complete lattice 完全铬 | sigma complete lower semilattice 完备下半格
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sigma complete filter：完备滤子
sigma compactness 紧性 | sigma complete filter 完备滤子 | sigma complete lattice 完全铬