蕴涵

Difference from other algebraic structures which are introduced for some logic system, Implication Algebra is a abstraction of one logic connective, i. e. implicative operator, and other operators in it are all introduced by implicative operator.

特别值得提出的是，与其它为研究逻辑系统而引入的代数结构不同，蕴涵代数是对一个逻辑联结词，即蕴涵算子抽象而得到的，其它算子均是由蕴涵算子诱导而得到。

Fuzzy logic is studied with algebraic tools in this paper. A kind of algebraic abstract of fuzzy logic, Implication Algebra on a partial ordered set, is given. The relations between Implication Algebra and other algebraic structures, such as MV-Algebra and Heyting Algebra etc., and the filter and the structure of Implication Algebra on a partial ordered set are studied.

本文的目的是使用代数工具对模糊逻辑进行研究，给出模糊逻辑的一类代数抽象，即偏序集上的蕴涵代数，研究偏序集上蕴涵代数与其它代数结构，如MV-代数，Heyting代数之间的关系，以及偏序集上蕴涵代数的滤子与其结构等。

That is,the truth value of an implication compound proposition is just the compatibleness degree of the actual implication degree or implication rate between its sub-propositions with the language value that describes the feature of implication relation in this compound proposition.

关于复合命题A→B本身的真值，传统逻辑中是由其支命题A、B的实际真值通过某种真值运算(二值逻辑中用"实质蕴涵"，模糊逻辑中有众多的"蕴涵算子")而求得。我们称这种求蕴涵型复合命题真值的方法为逻辑方法。

Entailment is the including relation among sentences, and it has close relation with hyponymy and Horn scales and it has grades.

蕴涵是句子语义间的包含关系，所以它与上下义词和荷恩等级有密切关系，并且一个句子的蕴涵呈现出强弱等级关系，强的蕴涵弱的。

Basing on this, this article deeply analyzes the relations between implication and the connective "If, then" used in ordinary logical thinking, and points out that material implication is scientific abstract generation to the ordinary language "If, then". Their sameness lies in: when a conditionals protasis is true and its consequent is false, material implication equation is false.

在此基础上，论文深入地分析了蕴涵与人们极易混淆的日常逻辑思维中的"如果，则"的关系，指出实质蕴涵作为数理逻辑中对日常语言"如果，则"的科学抽象地概括，二者的相同点在于：当前件真后件假时，充分条件假言判断为假，实质蕴涵式也为假。

Basing on this, this article deeply analyzes the relations between implication and the connective "If, then" used in ordinary logical thinking, and points out that material implication is scientific abstract generation to the ordinary language "If, then". Their sameness lies in: when a conditional's protasis is true and its consequent is false, material implication equation is false.

在此基础上，论文深入地分析了蕴涵与人们极易混淆的日常逻辑思维中的"如果，则"的关系，指出实质蕴涵作为数理逻辑中对日常语言"如果，则"的科学抽象地概括，二者的相同点在于：当前件真后件假时，充分条件假言判断为假，实质蕴涵式也为假。

How to implement FMP algorithm and FMT algorithm with Mamdani implication operator, algebra product implication operator and Zadeh implication operator are given on the basis of POFI respectively.

首先分别给出了基於POFI方法的Mamdani蕴涵算子、代数积蕴涵运算子和Zadeh蕴涵运算子的FMP算法与FMT算法中寻求推理后件的计算运算式。

Some other conditions which the implicative operator of a Implication Algebra should satisfied in a logic system are given. The relations between MV-Algebra and Distributive Implication Algebra, Implication Algebra with condition are gained.

对于偏序集上蕴涵代数中的蕴涵算子引入了一些逻辑条件，得到了偏序集上具有不同条件的蕴涵代数与MV-代数之间的关系，给出了偏序集上蕴涵代数与MV代数之间的几个等价定理。

Then the interpolation representations of fuzzy controllers with Mamdani implication operator, algebra product implication operator, Zadeh implication operator and implication operator are introduced separately.

然后分别获得了基於POFI方法的Mamdani蕴涵算子模糊控制器、代数积蕴涵运算子模糊控制器、Zadeh蕴涵运算子模糊控制器及加乘运算子模糊控制器的插值表示，由此发现这些模糊控制器具有函数逼近的泛性。

We managed to point out the orientalized and assimilated historical process by the study of their encounter, intercourse, combination and unification.The cultural origin and esthetical significance composed the logical elements with which to recur the historical encounter of Pratipad and New Taoism, and project their respective esthetical character and inherent inconsistency. We emphasize the intercourse between Pratipad that came on to in Wei-Jin era and Buddhist and metaphysics esthetics on the basis of Pratipad category, just for the lasting appeal and predilection of the latter could set off the existent significance of Madhyamika Prajna System. Here we do a summarize intent upon illuminating no other than the intercourse with which to lead Chinese Esthetics to a bran-new world.

本文以阐发般若范畴的文化渊源、美学蕴涵为理论探讨的逻辑基础；通过历史地再现般若学与玄学两面展开的理论境遇，凸现它们各自不同的美学品格与内在矛盾；而作为两晋际兴盛起来的般若学和基于般若学范畴展开的佛玄美学对话，是本文理论探讨的重要内容，惟其佛玄美学建构的丰富韵致与理论偏颇，才映衬了中观般若体系生成的美学意义；本文以中观般若体系具有的深在美学蕴涵及其对中国美学特出的范型意义为归结，指出正是中观般若体系实现了般若美学蕴涵与中国美学蕴涵的真正交融，这种交融从体系型态上把中国美学引向了新的生成之路。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。