粗糙的

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 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。

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。

The calculation formulae for the transmission coefficient of the plane wave incidence to Gaussian rough surface of the layered medium was derived in combination with the power spectrum of Gaussian rough surface.

采用高斯粗糙面来模拟实际的分层介质粗糙面，结合高斯粗糙面的功率谱导出了平面波入射高斯分层介质粗糙面的透射系数计算公式。

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。

Bad man never fret the war, tell'em come general we have the stock, the mad fire burn I-ya, I against I, flesh of my flesh, and mind of my mind, two of a kind but one won't survive, my images reflect in the enemies eye, and his images reflect in mine the same time, I-ya, I-ya, I against I, flesh of my flesh, and mind of my mind, two of a kind but one won't survive, survive (x16) Reign supreme in your U-N-I, V-E-R-S-E with the sharpness, narrow row building no space for partners, no space for drivers, no space for walkers, no space regardless, your on my path then get off it, hardheaded and unresponsive, get they lives put on target with harshness, come with the canons sparkin' they darken, who am i?

坏男人从不烦恼战争， tell'em 来一般的我们有存货，疯狂的火燃烧我-ya，我反对我，我的肉肉，而且我的思想思想，类型中的二个除了一之外将不生还，我的图像在敌人眼睛中反映，而且他的图像在我的相同时间中反映，我-ya，我-ya，我反对我，我的肉肉，而且我的思想思想，类型中的二个除了一之外将不生还，生还(x16)当政你的 U-N 的至高-我，和锐利的 V-电子 R-S- E，狭窄部份排建筑提供合伙人的没有空间，提供驾驶者的没有空间，提供徒步者的没有空间，没有空间不管，你的然后在我的路径上离开它，冷静的和反应迟钝的，拿生命给他们用粗糙的事物穿上目标，带教会法规 sparkin 来'他们弄暗， i 是谁？

At the early 1980s, is an effective mathematic tool to deal with the uncertain or fuzzy knowledge. Rough rule theory has been widely used in information retrieval, digital library, software engineering and knowledge discovery. Its main idea includes acquisition of rough decision rules by reduction of data under the condition of keeping an invariability of classification capacity. And it basically represents a concept by a pair of approximation sets according to the partition on the given data based on the indiscernibility relation. Rough sets theory is well suited to deal with inconsistency of the rough approximations. So it is a new mathematical tool dealing with vagueness and uncertainty, and has found its applications in many areas such as AI, KDD, pattern recognition and classification and fault diagnosis.

主要完成了以下几个方面的工作：(1)对于高速移动机器人车道线跟踪问题中的规则知识获取，首先阐述了模糊逻辑系统的基本特点、工作原理和基本作法，分析了模糊规则知识获取过于依赖专家经验知识、对于每一个细节几乎都需要人工主观经验的参与、难以处理大数据集样本等方面的不足，进而阐述了粗糙集合理论的基本特点、基于粗糙集合理论的规则获取的关键技术和工作原理，为后续章节中经典粗糙集合模型的扩展及粗糙决策规则集的性能分析做好基础；(2)在经典粗糙集理论及其一般扩展的可变精度粗糙集VPRS的基础上，提出了非均匀可变精度粗糙集模型k-VPRS。

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&。

The 4different finishings show no salient differences over 3 sets of transparent image such as "concise－chaotic","light－heavy","liking－hating", while showing salient differences over 8 sets of transparent image such as "sparkling－cloudy","delicate－rough","shining－dusky","technological－traditional","natural－artificial","open－close","cool－warm" and "soft－hard".

4种不同表面处理在「简洁的－杂乱的」、「轻盈的－笨重的」、「喜欢的－讨厌的」三组意象上无显著差异，而在「晶莹的－混浊的」、「精致的－粗糙的」、「亮丽的－暗淡的」、「科技的－传统的」、「自然的－人工的」、「开放的－封闭的」、「凉爽的－温暖的」、「柔和的－坚硬的」八组透明意象上呈现显著差异。

M-6601 Quick Detailer– This cleaner wax is the workhorse in the Meguiar's Cleaner/Wax category. Available in 1-gallon jugs, this is Meguiar's most aggressive cleaner wax and perfectly suited for use with rotary buffers on severely neglected, oxidized, scratched and swirled surfaces. This wax offers incredible cleaning strength, without using harsh abrasives. The rich polishing oils leave behind a lustrous finish while Meguiar's state-of-the-art synthetic polymer waxes leave behind a long lasting durable protective finish. Perfect for Used Car dealers and wholesalers looking for a fast and effective one-step product. M-66 like M-06 is very versatile, and can be used by hand, dual-action polisher, orbital buffer, and the rotary buffer.

M-6601快速保养液–这瓶清洁蜡是美克拉清洁蜡系列中的主力產品，目前市面上可买到的是每瓶一加仑的包装，这是美克拉最强效的清洁蜡，他非常适合与打蜡机搭配使用以清除漆面上严重的受损、氧化、抓痕和太阳纹，这瓶蜡提供了非常强的清洁能力且不含粗糙的研磨成分，丰富的抛光油使烤漆富含光泽，而美克拉合成聚合物蜡品则提供烤漆长耐久的防护，这產品对于二手车业者或正在寻找一种速效的单步產品的批发商是最完美的，M-66就像M-06一样是多方面适用的，可以使用手、震抛机、打蜡机和旋抛机来施用。

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％。