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數(shù)工具對模糊邏輯進行研究亚洲国产日韩欧美视频，給出模糊邏輯的一類代數(shù)抽象国内乱伦视频，即偏序集上的蘊涵代數(shù)黄网站免费观看，研究偏序集上蘊涵代數(shù)與其它代數(shù)結(jié)構(gòu)亚洲一区在线不卡，如MV-代數(shù)，Heyting代數(shù)之間的關(guān)系女性精品黄色网，以及偏序集上蘊涵代數(shù)的濾子與其結(jié)構(gòu)等高清亚洲主播在线播放。

To regulate policy composition and guarantee its correctness, an algebraic model called APoCA (attribute-based access control policy composition algebra) is proposed for composing access control policy. In APoCA, an authorization relation between entities is described at the attribute level. APoCA fertilizes the existing formal frameworks by taking into account the computation of attribute values.

為了規(guī)范策略合成和保障策略合成正確性，基于屬性刻畫了實體間的授權(quán)關(guān)系黄页站免费观看，通過屬性值的計算結(jié)構(gòu)擴展了現(xiàn)有的策略合成形式化框架欧美在线视频日韩，建立了新的基于屬性的策略合成代數(shù)模型APoCA(attribute-base access control policy composition algebra)。

Chapter three: Define fuzzy congruence relation of MTL-algebra, prove that fuzzy fiter and fuzzy congruence relation is a bijective function in MTL-algebra, quotient algebra induced by congruence relation still forms a MTL-algebra; Introduce the relation between some kinds of fiters and fuzzy filters maitained above in IMTL-algebra,i.e. BR_0 algebra, which is a MTL-algebra satisfied inversely odering and involutive relation.

第三章：定義了MTL-代數(shù)中的Fuzzy同余關(guān)系日本永久网站高清免费不卡，證明了MTL-代數(shù)中Fuzzy濾子與Fuzzy同余關(guān)系是——對應(yīng)的91原视频在线播放，由同余關(guān)系所誘導(dǎo)的商代數(shù)依然構(gòu)成一個MTL-代數(shù)；介紹了在滿足逆序?qū)蠈?yīng)的MTL-代數(shù)-IMTL-代數(shù)亚洲精品第5页，即BR_0-代數(shù)中上述幾中特殊濾子婷婷5月天综合色色，F(xiàn)uzzy濾子之間的關(guān)系。

The latter is essentially derived from the geometric realization of Happels triangulated equivalence between stable module category of repetitive algebra and bounded derived category of finite dimensional algebra. In terms of this realization, we deduce that the Lie algebra realized by derived category of a finite dimensional algebra is isomorphic to the Lie algebra realized by stable module category of the corresponding repetitive algebra.

后者本質(zhì)上是Happel關(guān)于重復(fù)代數(shù)的穩(wěn)定模范疇和導(dǎo)出范疇的三角等價的一個幾何實現(xiàn)及其應(yīng)用在线观看日韩黄片，使用這種幾何實現(xiàn)一级黄片录像，我們可以證明在重復(fù)代數(shù)的穩(wěn)定模范疇上定義的李代數(shù)同構(gòu)于相應(yīng)的導(dǎo)出范疇上實現(xiàn)的李代數(shù)被插的很爽很是舒服网站。

31 Chapter 3 Number Systems and Boolean Algebra 3.2 Boolean Algebra Table 3-2 Distributivity Idempotency Absorption laws 分配律同一律吸收律 a=ab+ac a+= a+a=a aa=a a+ab=a a=a'=a'b''=a'+b' DeMorgan's laws德摩根定理計算機專業(yè)英語 3-32 Chapter 3 Number Systems and Boolean Algebra 3.2 Boolean Algebra Since a finite set of n elements has exactly 2n subsets, and it can be shown that the finite Boolean algebras are precisely the finite set algebras, each finite Boolean algebra consists of exactly 2n elements for some integer n.

由于n個元素的有限集有且只有個子集由于個元素的有限集有且只有2n個子集国产人成网站18禁止免费网站，而且很顯然有限布個元素的有限集有且只有個子集，爾代數(shù)一定是有限集合代數(shù)偷拍亚州偷拍，所以對某個整數(shù)n而言而言欧美zoo交，爾代數(shù)一定是有限集合代數(shù)，所以對某個整數(shù)而言国产在线走光，每個有限布爾代數(shù)也有且只有2n個元素国产欧洲亚洲入口AV。例如，上文定義的集合T的限布爾代數(shù)也有且只有個元素国产在线观看福利大片。

The most famous rough algebras are Rough Double Stone Algebra, Rough Nelson Algebra and Approximation Space Algebra, and their corresponding general algebra structures are regular double Stone algebra, semi-simple Nelson algebra and pre-rough algebra respectively.

其中最有影響的粗代數(shù)分別是粗雙Stone代數(shù)园产一级毛片兔费观看视频在线、粗Nelson代數(shù)和近似空間代數(shù)，它們對應(yīng)的一般代數(shù)結(jié)構(gòu)分別是正則雙Stone代數(shù)日韩欧美A一C在线、半簡單Nelson代數(shù)和預(yù)粗代數(shù)丁香色色五月天。

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.

本文基于徐揚和秦克云的關(guān)于格蘊涵代數(shù)和以格蘊涵代數(shù)為真值域的格值命題邏輯系統(tǒng)LP的研究工作，對格蘊涵代數(shù)以及格值命題邏輯系統(tǒng)LP中基于α-歸結(jié)原理的自動推理方法進行了系統(tǒng)深入的研究国产高清在线a视频大全在线，主要有以下兩方面的研究成果：一欧美一级多人婬片人妻欧美大片、關(guān)于格蘊涵代數(shù)的研究 1、對格蘊涵代數(shù)的格論性質(zhì)進行了研究欧美精品二区三区中文，得到了當(dāng)L為完備格蘊涵代數(shù)時久久午夜一级A片，關(guān)于∨，∧，→運算的一些結(jié)果av网站有哪些； 2亚州图片在线、對格蘊涵代數(shù)的左冪等元進行了研究，證明了格蘊涵代數(shù)L可以分解為任何一個左冪等元所對應(yīng)的左映射的像集合與其對偶核的直和一级特黄视频免费在线观看影视资讯； 3伊甸2021、對格蘊涵代數(shù)的濾子的性質(zhì)進行了研究，證明了濾子的結(jié)構(gòu)相似于邏輯學(xué)中的Hypothetical syllogism規(guī)則和替換定理九一视频在线观看精品； 4天天日天天干天天日天天、給出了格蘊涵代數(shù)中弱濾子的概念，對弱濾子的性質(zhì)個結(jié)構(gòu)進行了研究观看日本黄色网络视频，證明了格蘊涵代數(shù)的全體弱濾子構(gòu)成一個拓撲結(jié)構(gòu)jiujiuren，格蘊涵代數(shù)之間的蘊涵同構(gòu)是相應(yīng)的拓撲空間之間的拓撲映射。

The questions covering pre-algebra and elementary algebra make up the Pre-Algebra/Elementary Algebra Sub score. The questions covering intermediate algebra and coordinate geometry make up the Intermediate Algebra/Coordinate Geometry sub score. The questions covering plane geometry and trigonometry make up the Plane Geometry/Trigonometry sub score.

包含有基礎(chǔ)初等代數(shù)和初等代數(shù)的考題構(gòu)成了基礎(chǔ)初等代數(shù)/初等代數(shù)的技能分數(shù)欧美一级黑人黄片，涉及到中等代數(shù)和坐標(biāo)幾何的考題構(gòu)成了中等代數(shù)/坐標(biāo)幾何的技能分數(shù)日本黄色网站免费在线看，而涵蓋平面幾何和三角函數(shù)的考題則構(gòu)成了平面幾何/三角函數(shù)的技能分數(shù)。

The third part proposes in Luk the concept of lattice-valued truth degrees based on the second part by generalizing truth values from the MV-unit interval(a special MV-algebra) to a general MV-algebra. And the properties of lattice-valued truth degrees suggest that this generalization is natural and reasonable. Because of the equivalence between the two algebra systems, i.e. MV-algebra and lattice implication algebra, it's natural and easy to grade the truth of formulas in lattice-valued propositional logic whose basic algebra system is the lattice implication algebra.

中日韩一级a毛一级a做免费视频。 本文第三部分在第二部分的基礎(chǔ)上日日做夜夜操，將Luk中公式的真度值推廣到了一般的MV代數(shù)上，相對于第二部分的數(shù)值真度人妻少妇看A片偷精品视频，給出公式的格值真度天堂婷婷久久，并通過格值真度的性質(zhì)說明格值真度是數(shù)值真度的合理推廣。

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