查询词典 distributive lattice

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""，""

The following two open problems in the component theory of complete lattices are studied:(1) In a non distributive complete lattice, is it true that any component of an element with finite width is also finite wide?

：研究了完备格成分理论中两个尚未解决的问题：在非分配的完备格中，有限宽元素的成分也是有限宽的吗？

Through constructing a counterexample it is showed that there is a non distributive complete lattice in which a component of some element with finite width is not finite wide....

通过构造反例证明了在非分配的完备格中，有限宽元素的成分不必是有限宽的；还证明了完备格间的同构映射能保持颗粒表示性质和颗粒性质，通过反例证明了同构映射的条件不能减弱，从而解决了以上两上问题。

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。

In this paper, the mutual relations of these additional conditions are investigated systematically and clarified. It is proved that each one of these conditions implies distributivity. Furthermore, the mutual relations of normal residuated lattices, subnormal residuated lattices, BL-algebras and sub-BL-algebras and that they are all distributive lattice are known.

本文系统研究并弄清了这些附加条件相互之间的关系，证明了它们中的每一条都蕴涵着分配性，从而知道了正规剩余格、次正规剩余格、BL-代数、次BL代数相互之间的关系，并且它们都是分配格。

Aim In order to prove a semiring whose additive reduct is a semilattice and multiplicative reduct is a inverse semigroup to be a distributive lattice.

摘要目的求证加法导出是半格、乘法导出是逆半群的半环成为分配格的充要条件。

Discuss the relationship between fuzzy logic and probabilistic logic by comparing PL with the fuzzy logic based on distributive lattice with a boundary element and make clear some indiscriminations about this problem.

7给出值域为布尔代数的格值逻辑的概率解释；相对于值域为含分界元分配格的模糊逻辑作比较，讨论了模糊逻辑和概率逻辑的密切关系和根本区别，并据此澄清了逻辑文献中关于这一问题的某些混淆。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。