查询词典 rough out

In this chapter, firstly, the definition of rough semigroups is given afresh. Then based on rough groups, rough subgroups, rough cosets, rough invariant subgroups, some properties of rough subgroups and rough invariant subgroups and the concept of rough quotient groups are introduced. Finally, based on some concepts of homomorphism and isomorphism of rough groups, basic homomorphism theorem and isomorphism theorem of rough groups are put forward and proved.

在这一章中，首先重新给出了粗糙半群的定义，其次在粗糙群、粗糙子群、粗糙陪集、粗糙不变子群的基础上，给出了粗糙子群的若干性质、粗糙不变子群的三个重要性质和粗糙商群的定义，最后在粗糙群同态与同构的基础上，给出了粗糙群同态基本定理与同构定理。

At the same time, some articles that have been studied about the theory combined pure mathematics with rough sets have been emerged, and some new mathematical notions, such as rough logic, rough ideal in semigroups, rough groups and rough subgroups, rough cosets, rough invariant subgroups and homomorphism and isomorphism of rough groups, are introduced.

同时，纯粹的数学理论与粗糙集理论结合起来进行研究已有文章出现，并不断有新的数学概念出现，如&粗糙逻辑&、&半群中的粗理想&、&粗糙陪集&、&粗糙不变子群&、&粗糙群和粗糙子群&、&粗糙群的同态与同构&。

In the sense of cutset, the relation between the rough set of a cutset and the cutset of a rough set, a fuzzy rough set of a fuzzy primary ideal in a semigroup is proved to be its fuzzy primary ideal. The sixed chapter is Rough Primary Ideals and Rough Fuzzy Primary Ideals in rings, the corresponding results of a semigroup are generalized in a ring. The last chapter is Rough-fuzzy Subsemirings in Semirings, First, the lower and upper rough-fuzzy semirings together with the left and the right ideal are defined.

利用截集意义下，截集的粗糙集与粗糙集截集的关系，证明了在完备同余关系下半群中的模糊准素理想的粗糙集是模糊准素理想；第六章是环中粗准素理想和粗模糊准素理想，将半群中的相(来源：A70BC论文网www.abclunwen.com)应结果推广到环中；第七章是半环中的粗模糊子半环，首先，给出上粗模糊子半环及上粗模糊理想等概念，并研究了它们的性质。

At the same time, some properties of rough Set in quotient ring are given and proved. The fifth chapter is Rough Primary Ideals and Rough Fuzzy Primary Ideals in Semigroups, the concept of rough primary ideals and fuzzy rough primary ideals in semigroups are introduced. Under the condition of the complete congruence relation, a rough set of a primary ideal in semigroups is proved to be its primary ideal.

同时，在商环中讨论了粗糙集的一些性质，并给出这些结论的严格证明；第五章是半群中的粗准素理想和粗模糊准素理想，首次提出了半群中的粗准素理想与粗模糊准素理想的概念，证明了在完备同余关系下，半群中准素理想的粗糙集是准素理想。

In rough sets based on accessible relation, we merge rough set theory and accessible relation into one model. Compared with classical rough set models(including Pawlak rough set model and various precise rough set model), the new model is more general.

基于可达关系的粗糙集模型是将可达关系应用于粗糙集理论中，这种模型比传统的粗糙集模型(Pawlak模型和可变精度粗糙集模型)更一般，将粗糙集理论推广到一般的方法论。

In this chapter, firstly, the definition of rough rings and its properties are given. Then the definition and properties of rough subrings, rough ideals and rough quotient rings are put forward and proved. Finally, homomorphism and isomorphism of rough rings is studied.

在这一章中，首先给出了粗糙环的定义及其性质，其次给出了粗糙子环、粗糙理想、粗糙商环的定义及其性质，最后研究了粗糙环的同态与同构。

Some new basic concepts are proposed in this paper, including the approximation space of generalization, rough approximation axiom, disturbance set axiom, classification principle of rough set, principle of nondeterministic even set, principle classification, bit quantum symmetric classification, of concentration, game classification, quantum logic incomparable set, bit space set, protocol relation, rough set function of protocol relation, rough classification algebra, rough simple algebra, etc., and a guess is also proposed.

提出了广义近似空间、粗近似公理、干扰集公理、粗糙集的分类原则、粗选原则、不确定偶集原则、精选原则、对策分类、量子逻辑分类、bit量子对称分类、不可比集、bit空间集、协议关系、粗糙集函数、粗糙分类代数和粗糙单代数等基本概念，并提出了一个猜想；展示了一些新观点；基于协议关系构造了粗糙商代数和粗糙子代数，给出了回避-归并算法及算例。

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我ain't去向前发生作用这个不更多弹起当作婴儿般对待出去门到达向上和移动做不制造我行动a开玩笑仅仅弹起当作婴儿般对待出去门弹起当作婴儿般对待出去门我ain't去向前发生作用这个不更多弹起当作婴儿般对待出去门到达向上和移动做不制造我行动a开玩笑假定你是去用你的男孩今天和"做不担心原因我希望在家迟"但是我知道你是creepin'出去那里cheatin'你已经是freakin 婴儿那样让我说出你，它怎样正将是和你能变得勇敢了但是不是在我上那样地狱对是你试一试的男孩哄骗你的知道这个是我所做的我呼吁你的寻呼和你的双向的男孩但是没有看和我反应出发发现你在情妇手臂不努力尝试的一些中我有我的自己眼睛的仅仅把厌烦你的我被的材料男孩原因带到那里听你所有的谎言处理前面的男孩原因你我ain't去向发生作用这个没有更多弹起当作婴儿般对待从里面门到达沿着和移动做不制造我行动a开玩笑仅仅弹起当作婴儿般对待从里面门仅仅弹起弹起当作婴儿般对待从里面门我ain't去向发生作用这个没有更多弹起当作婴儿般对待从里面门到达沿着和移动做不制造我行动a开玩笑小男孩我知道你希望从不裁决不材料实际已经开采矿她不能工作你相似我是做你罐看但是你知道我得到那个好排粪我知道那个你是讨厌它但是你更好些留下用一你是用你制做你的床和现在你富人向睡觉在中它当作婴儿般对待我打电话你的寻呼和你的双向地男孩但是没有反应开始看和发现你在中一些情妇's手臂做不请尝试向前男孩原因我拉来拉去你那里用我自己的眼睛仅仅到达你的材料男孩原因我被使厌烦的听见你所有的谎言弹起当作婴儿般对待从里面门我 ain't去向发生作用这个没有更多弹起当作婴儿般对待从里面门到达沿着和移动做不制造我行动a开玩笑仅仅弹起当作婴儿般对待从里面门我ain't去向发生作用这个没有更多我ain't去向发生作用这个没有更多弹起当作婴儿般对待从里面门弹起当作婴儿般对待从里面门到达沿着和移动到达沿着和移动做不制造我行动a开玩笑做不制造我行动a开玩笑仅仅弹起当作婴儿般对待从里面门仅仅弹起等候a分钟萨拉让步我a机会向说明我是仅仅说话向矮子我做不平稳知道她名字我ain't寻找没有任何人向来和发生作用你的地方Ain't没有任何人从里面那里当作婴儿般对待那个罐充满你的是一部分你的绿色是从从门公正弹起里面门公正弹起弹起小里面盯着精神公正弹起小我ain't去把这没有更公正弹起弹起小带到从门里面仅仅弹起组织和移动公正弹起不使我装出一傻瓜公正弹起的样子

In chapter 2, basic knowledge of the rough set theory, such as indiscernibilityrelation, elementary set, approximate space, upper approximation, lower approximation, negative region, boundary region, rough set, etc., and algebraic properties of rough set are introduced. At the same time, the feature of the rough, set theory is also introduced.

第二章介绍了粗糙集理论基本知识，如不可分辨关系、基本集、近似空间、上近似、下近似、负域、边界域、粗糙集等概念，以及粗糙集的代数性质，同时还介绍了粗糙集理论的特点。

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.

其中最有影响的粗代数分别是粗双Stone代数、粗Nelson代数和近似空间代数，它们对应的一般代数结构分别是正则双Stone代数、半简单Nelson代数和预粗代数。

As of Tuesday, Google's results were still censored in China.

截至周二，谷歌的搜索结果仍受中国审查。

In order to make the positive action increase and negative one decrease, the sub-forces of the social factors must be adjusted to form a centripetal force.

在这一过程中，人的主体性发挥是社会有机体健康发展的灵魂。