S-Rough communication and its characteristics

In view of certain defects of common rough communication, using the S-rough sets, this article presents a S-rough communication model. The S-rough communication model is the extension of the common rough communication model. S-rough communication has two kinds of forms： one-direction S-rough communication and two-direction S-rough communication. The mathematical structure and characteristics of the one-direction S-rough communication and the two-direction S-rough communication, the relationship theorem between the one-direction S-rough communication and the two-direction S-rough communication are also presented. The S-rough communication is a dynamic communication method, and it is a novel research direction in rough sets field.

Function S-Rough sets and its applications

Based on S-rough sets（singular rough sets）, this paper presents function S-rough sets （function singular rough sets）and its mathematical structures and features. Function S-rough sets has two forms： function one direction S-rough sets （function one direction singular rough sets） and function two direction S-rough sets （function two direction singular rough sets）. This paper advances the relationship theorem of function S-rough sets and S-rough sets. Function S-rough sets is the general form of S-rough sets, and S-rough sets is the special ease of function S-rough sets. In this paper, applications of function S-rough sets in rough law mining-discovery of system are given. Function S-rough sets is a new research direction of rough sets and rough system.

Function S-rough sets and mining-discovery of rough law in systems

Function S-rough sets （function singular rough sets） is defined on a -function equivalence class [u]. Function S-rough sets is the extension form of S-rough sets. By using the function S-rough sets, this paper gives rough law generation model of a-function equivalence class, discussion on law mining and law discovery in systems, and application of law mining and law discovery in communication system. Function S-rough sets is a new theory and method in law mining research.

S-rough Laws and Its Dependent Separation by F-Interference

By employing function S-rough sets,the concepts of f-interference generation and separation of law,and the F-interference generation and separation of S-rough laws were proposed. Base on the concepts above,the F-interference relation theorems,the F-interference discernibility theorem,the dependent separation theorem by interfereence,and the dependent separation principle by interference were presented; finally the application was given. By employing F-interference dependence and separation of S-rough laws,the changes of characteristic of dynamic systemic regularities could be recognized.

S-rough sets and the discovery of F-hiding knowledge

Singular rough sets （S-rough sets） have three classes of forms： one-directional S-rough sets, dual of onedirectional S-rough sets, and two-directional S-rough sets. Dynamic, hereditary, mnemonic, and hiding properties are the basic characteristics of S-rough sets. By using the S-rough sets, the concepts of f-hiding knowledge, F-hiding knowledge, hiding degree, and hiding dependence degree are given. Then, both the hiding theorem and the hiding dependence theorem of hiding knowledge are proposed. Finally, an application of hiding knowledge is discussed.

Function S-rough Sets and Their Law Characteristic

Function S-rough sets(Function Singular rough sets) are defined by R-function equivalence class which has dynamic characteristic, and a function is s law, function S-rough sets have law characteristic. Function S-rough sets has these forms: function one direction S-rough sets, function two direction S-rough sets and dual of function one direction S-rough sets. This paper presents the law characteristic of function one direction S-rough sets and puts forward the theorems of law-chain-attribute and law-belt. Function S-rough sets is s new research direction of the rough sets theory.

Function S-rough sets and two law forecast

Function S-rough sets has the properties of dynamics, heredity, and memory. Function S-rough sets is penetrated and crossed with the issue of economic law forecast, then a new forecast model based on function S-rough sets namely the two law forecast model is proposed, which includes upper law forecast model and lower law forecast model; and its＇ implement algorithm is given. Finally, the validity of the model is demonstrated by the forecast for region economic development of Hainan Province.

S-rough sets and knowledge separation

The conceptions of the knowledge screen generated by S-rough sets are given: f- screen and - screen , and then puts forward - filter theorem, - filter theorem of knowledge. At last, the applications of knowledge separation are given according to - screen and - screen.

高速互连PCB的材料电磁表征方法研究

随着数据传输速率的不断增加,对高速互连的信号完整性设计和优化变得至关重要。在高速通道设计的各个方面中,我们通过对现有的方法进行综述来着重介绍准确的PCB材料电磁表征这一关键问题,并对于提取PCB材料特性,如介电常数、损耗正切以及铜表面粗糙度的各种方法进行分类。首先,这些方法分为两大类:①对原始介质材料进行表征的技术;②适用于一般由玻璃纤维和树脂材料混合而成的PCB材料的表征方法。在每个类别中,简要描述了几种常用技术,并进行了优缺点的比较和讨论。基于传输线的方法的挑战和局限性在这里尤为重要,因为相关的材料特性提取程序在工业中已经是常规操作。此外,特别是在数十吉赫兹的频率范围内,典型铜箔表面粗糙度对准确材料表征的影响也被考虑。本文旨在通过总结和比较提供PCB材料表征方法的全面概述和分析。

Function S-rough sets and law identification

By introducing element equivalence class that proposes dynamic characteristic into Pawlak Z rough sets theory, the first author of this paper improved Pawlak Z rough sets and put forward S-rough sets （singular rough sets）. S-rough sets are defined by element equivalence class that proposes dynamic characteristic. S-rough sets have dynamic characteristic. By introducing the function equivalence class （law equivalence class） that proposes dynamic characteristic into S-rough sets, the first author improved S-rough sets and put forward function S-rough sets （function singular rough sets）. Function S-rough sets have dynamic characteristic and law characteristic, and a function is a law. By using function S-rough sets, this paper presents law identification, law identification theorem, and law identification criterion and applications. Function S-rough sets are a new research direction of rough sets theory, and it is also a new tool to the research of system law identification.

Function S-rough sets and security-authentication of hiding law

Function S-rbugh sets are defined by R-function equivalence class, which have dynamic characteristic. Function S-rough sets have dynamic characteristic, law characteristic and law-hiding characteristic. Function S-rough sets can generate f-hiding law and f-hiding law. By engrafting, crossing, and penetrating between the information security theory and function S-rough sets, the security hiding and the authentication of f-hiding law and f-hiding law are given respectively in this paper. The fusion and share between function S-rough sets and information security theory is a new research direction of the application of information law in information system.

7050-T7451铝合金铣削参数多指标优化研究

通过Spike切削力测量设备及在线监控系统,采用单因素试验,研究硬质合金刀具铣削7050-T7451铝合金时,主轴转速、铣削宽度、铣削深度、进给速度以及顺、逆铣加工方式分别对刀具所受弯矩、表面粗糙度及功率的影响。运用正交试验法,通过S/N比分析和方差分析,获得7050-T7451铝合金的最优铣削参数。研究表明:顺铣更适用于7050-T7451铝合金的铣削加工;刀具所受弯矩随着主轴转速的增加而逐渐减小,最终趋于平稳,并随着铣削宽度、铣削深度及进给速度的增加而增加;表面粗糙度随主轴转速的增加呈先减小后增加;各铣削参数与加工功率均呈正相关关系;为获得较低加工弯矩和功率、较好表面质量,应取较高的主轴转速、较低的进给速度和铣削宽度,7050-T7451铝合金的最优铣削参数水平为A_(3)B_(1)C_(2)D_(1),即n=6000r/min,a_(e)=3.0mm,a_(p)=1.6mm,v_(f)=1500mm/min。

Rough law generation and its separation-recognition

By using function S-rough sets（function singular rough sets）, this paper gives rough law generation and the theorem of rough law generation.Based on these results above, the paper proposes rough law separation, the theorem of rough law separation, the compound generation theorem of rough law bands, and the principle of rough law bands.In the end, an application of rough law separation in recognizing the risk law of profit is presented.

基于无人机点云与改进R_(S)表征法的结构面粗糙度定量分析

为研究采样尺寸、采样间距对高陡斜坡岩体结构面粗糙度评价结果的影响,选取藏东南某铁路察达车站工点左岸高陡岩质斜坡为研究区,提出采用无人机多角度贴近摄影测量技术获取毫米级点云数据以建立研究区斜坡岩体高精度三维模型,并从中选取典型区域裁剪出带有点云信息的27条面状结构面,使用Delaunay三角化原理对结构面进行网格化重建。基于此,提出一种采用点云拟合平面代替R_(S)表征法中垂直投影平面的新方法,并研究结构面粗糙度在不同采样尺寸、采样间距下的变化规律,结果表明:不同三角剖分方式对R_(S)表征值影响较小;结构面粗糙度具有尺寸效应与间距效应,其粗糙度表征值随结构面尺寸的增加逐渐趋于稳定,随结构面采样间距增大逐渐减小;部分存在尺寸效应的结构面存在“假有效采样尺寸”与“真有效采样尺寸”。在进行粗糙度评价时应确保所得有效采样尺寸为“真有效采样尺寸”。

S-粗集和它的一般结构

给出论域U上元素迁移F ,F ,单向奇异集合 ,双向奇异集合的概念 ;利用这些概念 ,提出奇异粗集 ,简称S 粗集 ,给出S 粗集的数学结构 ,S 粗集的存在背景和意义解释 .S 粗集包含两种结构 :单向S 粗集 ,双向S 粗集 ;S 粗集是研究系统动态近似特性 ,知识挖掘 ,知识发现的一个新的理论工具 .

基于SGA和SRFR的畦灌入渗参数与糙率系数优化反演模型(Ⅰ)——模型建立

利用基于地表非稳定流运动方程的地面灌溉模型对畦灌性能进行分析评价是改进传统地面灌溉方式、提高畦灌性能的重要举措,而准确地确定畦灌土壤入渗参数和田面糙率系数是改善畦灌性能模拟精度的重要前提。本文基于基本遗传算法SGA和地面灌溉一维模型SRFR建立的畦灌土壤入渗参数与田面糙率系数优化反演模型,可在给定的参数值域范围内开展多参数全局性寻优,利用计算机动态解析技术对SRFR模型执行程序进行解析处理,建立SGA与SRFR模型间的内部运行衔接方式,实现畦灌土壤入渗参数与田间面糙率系数优化反演过程的自动化运作,进而有效提高了参数寻优估值的工作效率。

基于MLA分析的某铜矿石选矿工艺初步研究

采用自动矿物参数分析系统(MLA)分析了某矽卡岩型铜矿矿物组成、嵌布关系,测定了不同磨矿细度下原矿及混合精矿产品的粒度分布特征及解离度特征,并根据该结果对该矿石进行了选矿工艺初步研究,确定选矿流程为:磨矿、铜硫混合浮选、粗精矿再磨、铜硫分离浮选。结果表明,在磨矿细度-74μm粒级占70%、再磨细度-20μm粒级占75%条件下,可以得到铜品位20.88%、铜回收率70.42%、银品位183.9 g/t、银回收率76.78%的铜精矿和硫品位32.65%、硫回收率91.47%的硫精矿。

函数S-粗集与粗规律挖掘-分离

研究了函数S-粗集的本质和特性,及其用于挖掘系统的潜在规律。利用函数S-粗集(单向函数S-粗集,双向函数S-粗集)的数学结构和特性,给出系统中粗规律模型的生成方法。给出了利用函数S-粗集进行系统中的粗规律挖掘与分离的讨论,和系统中粗规律分离的应用。例子证明,函数S-粗集是系统规律挖掘的一个有力工具。

粗规律生成与它的分离

利用函数S-粗集(function singular rough sets),给出粗规律生成,粗规律生成定理;利用这些结果,提出粗规律分离与粗规律分离定理,粗规律带复合生成定理与粗规律带原理;给出粗规律分离在利润风险规律识别中的应用。

S-粗集与它的分解还原

利用S 粗集(singularroughset)和它的两类形式:单向S 粗集(one directionsingularroughsets)和双向S 粗集(two directionsingularroughset) ,给出等价类的分解类、还原类、分解基、还原基的概念,提出S 粗集的分解定理、还原定理、分解还原关系定理、最大属性集原理、最小属性集原理和属性安全性原理。S 粗集的分解、还原是粗系统中粗推理研究的理论基础。S 粗集是粗集理论。