粗糙度量和模糊信息颗粒化

信息是由对象、属性、值组成的三元组 ,当对属性值用较粗的标度去度量时就得到了其论域上的粗糙度量 .据此构造了模糊集合理论的基础概念 ,即模糊集合是不确定标度下的粗糙度量 ,隶属函数则是粗糙程度不同的度量间的转换函数 ,模糊集合将信息模糊颗粒化 ,这些信息颗粒之间的相互关系就是模糊映射或模糊计算 .基于这些概念的模糊系统具有可理解性 .

基于极大相容块的粗糙性度量及其属性约简

由于相似关系或相容关系不具有传递性或对称性,从而相容类或相似类之间存在误判,因此研究不完备信息系统中合适粒度下的粗糙性度量和属性约简算法很有必要。在不改变相关模型的基础上,文章通过极大相容块的思想,研究了非等价关系的基本知识粒度构造,进一步讨论了合适粒度下的粗糙性度量方法,提出了基于极大相容块的知识粗糙性更精确的定义和极大相容块的条件信息熵及其属性重要性定义,并证明了相关性质;给出了合适粒度下属性约简的启发式算法,结果表明,极大相容块的重要性度量避免了通常意义下粒度过粗问题,知识粗糙性更为准确。

粗糙模糊集的粗糙性度量

粗糙集理论和模糊集理论是处理不确定和不精确问题的两种数学工具,它们有很强的互补性,将这两种理论相互融合可以建立粗糙模糊集模型。本文在概率近似空间上研究了粗糙模糊集的粗糙性度量,定义了知识的粗糙度概念,并将它与模糊集的粗糙度相结合给出了粗糙模糊集粗糙性的一种新的度量,验证了该度量的一些性质。

粗糙逼近近似度量在分类规则挖掘中的应用

为了提高决策系统的分类质量,探讨了一种在数据仓库中基于粗糙逼近近似度量的挖掘分类规则策略.首先介绍了数据集中挖掘分类规则的基本原理,并利用粗糙集理论中粗糙逼近近似度量概念,根据决策表条件属性重要性度量及条件属性对决策类划分的逼近近似度量,提出了基于改进粗糙逼近近似度量的数据挖掘进行属性约减方法,最后举例说明了如何在数据库中发现分类规则.实验结果表明此方法挖掘出的规则简练且合理可靠.

粗糙度对压气机叶栅损失特性影响的实验研究

为了研究粗糙度对压气机叶栅损失特性的影响,采用实验方法研究了三种雷诺数条件下表面粗糙度量级和位置对压气机平面叶栅不同攻角下总压损失特性的影响。叶片表面粗糙度通过贴砂纸的方式改变。对每种雷诺数,定量考察了由叶片表面贴砂纸引起的叶片厚度变化对叶栅攻角-损失特性的影响;对整体粗糙叶片,分析了四种粗糙度量级的影响;讨论了叶片表面局部粗糙度位置的影响。研究表明,定量比较损失时需考虑贴砂纸引起的叶片厚度变化,以加厚光滑叶片作为比较基准。粗糙度量级和位置对叶栅损失特性的影响与雷诺数密切相关,其影响趋势和程度在不同攻角范围内表现出明显的差异。高Re数条件下,当无量纲粗糙度k^+≤14.6时,叶栅性能尚可接受,当k^+≥20.1时,可认为叶栅已基本失效。总体上,叶片前缘和吸力面粗糙度对损失变化的影响最大。Re=1.0×105,-0.6°攻角情况下整体和吸力面前部加粗糙度80μm时,总压损失值相比加厚光滑叶片分别降低了17.3%和23.1%。

粗糙逻辑的计量化研究

将计量化方法引入到粗糙逻辑的研究当中,在一种典型的粗糙逻辑LR中引入了公式的粗糙真度概念。在此基础上,提出了公式之间的粗糙相似度、粗糙伪距离等概念,得到了粗糙逻辑度量空间。在粗糙度量空间中提出了两种不同的粗糙近似推理模式。这一结果实现了粗糙集与计量逻辑学这两种不同的处理近似问题理论的融合,同时对进一步丰富基于粗糙集的近似推理有一定启示。

模糊粗糙集粗糙熵的修正

在粗糙集理论中,由于用模糊粗糙熵去度量RF集的不确定性更具有直观性,所以如何利用香农信息熵理论定义模糊粗糙集的熵的度量,是一个值得研究的问题.结合知识粗糙性和信息熵给出了模糊粗糙集的熵的度量新定义,并对其一些性质进行了讨论.

区间值模糊集上的粗糙近似

提出了区间值模糊粗糙集的上下近似,并且利用区间值模糊集的截集定义了区间值模糊粗糙度量.在此基础上讨论区间值模糊粗糙集和区间值模糊粗糙度量的性质.

基于包含度的变精度模糊粗糙集

利用模糊集的一个强包含度,在弱模糊划分的基础上建立了基于该包含度的变精度模糊粗糙集模型,对其重要性质进行了深入研究,并给出了对应形式粗糙度的计算方法,进一步利用海明距离和欧几里得距离定义了该模型下模糊粗糙集的两个粗糙性度量。给出的变精度模糊粗糙集模型能够使模糊粗糙集的运算按照模糊集的运算实现,为变精度模糊粗糙集理论的研究和应用奠定了一定的理论基础。

粗糙逻辑中理论相容性的拓扑刻画

有关文献将计量化方法应用于粗糙逻辑之中,建立起了用以处理近似推理问题的粗糙逻辑度量空间理论。拟借助于粗糙逻辑度量空间理论,从拓扑学的角度给出粗糙逻辑理论相容性的等价刻画。

区间值模糊集上的上(下)近似

定义区间值模糊粗糙集的上下近似,并且利用区间值模糊集的截集定义了区间值模糊粗糙度量。并且讨论了它们的性质。

模糊知识粒度计算与应用

根据自反模糊关系,将知识粒度的概念推广为模糊知识粒度。考虑传统模糊粗糙集的粗糙性度量和相似性度量,忽略了模糊集的粗糙近似处于不同知识粒度背景中这样一个重要因素,结合模糊知识粒度的计算,提出了模糊粗糙集的粗糙性度量和相似性度量的新方法。最后,在一个实际的模糊信息系统中,给出了基于模糊知识粒度的知识约简算法。

Variable Precision Rough Set and a Fuzzy Measure of Knowledge Based on Variable Precision Rough Set

Variable precision rough set (VPRS) is an extension of rough set theory (RST). By setting threshold value β , VPRS looses the strict definition of approximate boundary in RST. Confident threshold value for β is discussed and the method for deriving decision making rules from an information system is given by an example. An approach to fuzzy measures of knowledge is proposed by applying VPRS to fuzzy sets. Some properties of this measure are studied and a pair of lower and upper approximation operato...

Influence of surface roughness on flotation kinetics of quartz

Surface roughness of quartz particles was determined by measuring the specific surface area of particles.The wettability characteristics of particles were determined by measuring the flotation rate using a laboratory flotation cell.Experimental results show that the rod mill product has higher roughness than the ball mill product.For the particles with larger surface roughness,the flotation kinetics constant is also higher.Finally,empirical relationships between surface roughness(r) and the flotation kinetics constant(k) of quartz particles as k=A+Br+Cr0.5lnr+D/lnr+E/r and k=A+Br are presented,in which A,B,C,D and E are constants related to experimental conditions and mineralogical properties of mineral.

Determination of efficient superfinishing conditions for mirror surface finishing of titanium

To determine mirror surface finishing conditions and efficient and economical superfinishing conditions for pure titanium and titanium alloys, an abrasive film is used when superfinishing is performed under varying conditions. These conditions include the workpiece rotation speed, the oscillation speed, the contact pressure of the roller, the hardness of the roller, and the type of abrasive film. The superfinishing device is applied to polishing a thin and long cylindrical bar. A micro-finishing film and a lapping film were used as abrasive films. A1203 grains or SiC grains were used as abrasives. The surface roughness of a polished workpiece was measured using a stylus-type surface-roughness measuring instrument. As a result, the conditions to improve the polishing surface efficiently include high values for the workpiece rotation speed, oscillation speed and contact pressure. The roller hardness has no effect on the efficient polishing conditions. The mirror finish of a surface can be created using lapping film of 3 μm with Al2O3 grains after polishing to a steady surface roughness under the efficient polishing conditions.

Evaluation of surface roughness and optimization of cutting parameters in turning of AA2024 alloy under different cooling-lubrication conditions using RSM method

In the present study,the effect of reduction of cutting fluid consumption on the surface quality and tool wear was studied.Mathematical models were developed to predict the surface roughness using response surface methodology(RSM).Analysis of variance(ANOVA)was used to investigate the significance of the developed regression models.The results showed that the coefficient of determination values(R^2)for the developed models was 97.46%for dry,89.32%for flood mode(FM),and 99.44%for MQL,showing the high accuracy of fitted models.Also,under the minimum quantity lubrication(MQL)condition,the surface roughness improved by 23%−44%and 19%−41%compared with dry and FM,respectively,and the SEM images of machined surface proved the statement.The prepared SEM images of tool rake face also showed a considerable decrease in adhesion wear.Built-up edge and built-up layer were the two main products of the adhesion wear,and energy-dispersive X-ray spectroscopy(EDX)analysis of specific points on the tool faces helped to discover the chemical compositions of adhered materials.By changing dry and FM to MQL mode,dominant mechanism of tool wear in machining aluminum alloy was significantly decreased.Breakage wear that led to early failure of cutting edge was also controlled by MQL technique.

Preliminary validation of SMOS sea surface salinity measurements in the South China Sea

The SMOS(soil moisture and ocean salinity) mission undertaken by the European Space Agency(ESA) has provided sea surface salinity(SSS) measurements at global scale since 2009.Validation of SSS values retrieved from SMOS data has been done globally and regionally.However,the accuracy of SSS measurements by SMOS in the China seas has not been examined in detail.In this study,we compared retrieved SSS values from SMOS data with in situ measurements from a South China Sea(SCS) expedition during autumn 2011.The comparison shows that the retrieved SSS values using ascending pass data have much better agreement with in situ measurements than the result derived from descending pass data.Accuracy in terms of bias and root mean square error(RMS) of the SSS retrieved using three different sea surface roughness models is very consistent,regardless of ascending or descending orbits.When ascending and descending measurements are combined for comparison,the retrieved SSS using a semi-empirical model shows the best agreement with in situ measurements,with bias-0.33 practical salinity units and RMS 0.74.We also investigated the impact of environmental conditions of sea surface wind and sea surface temperature on accuracy of the retrieved SSS.The SCS is a semi-closed basin where radio frequencies transmitted from the mainland strongly interfere with SMOS measurements.Therefore,accuracy of retrieved SSS shows a relationship with distance between the validation sites and land.

ECT Image Analysis Methods for Shear Zone Measurements during Silo Discharging Process

The paper covers the electrical capacitance tomography(ECT) data analysis on shear zones formed during silo discharging process.This is due to the ECT aptitude for detection of slight changes of material concentration.On the basis of ECT visualisations,wall-adjacent shear zone profiles are analysed for different wall roughness parameters.The analysis on changes of material concentration,based on ECT images,enables the calculation for the characteristic parameters of shear zones-size and material concentration inside the shear zone in a dynamic process of silo discharging.In order to verify the methodology a series of experiments on gravitational flow of bulk solids under various conditions were conducted with different initial granular material packing densities and silo wall roughness.The investigation shows that the increase in container wall roughness is an effective method for reducing the dynamic effects during the material discharging,since these effects are resulted from the resonance between hopper construction and trembling material.Such effects will damage industrial equipment in practical applications and need further investigation.

Vector modeling of robotic helical milling hole movement and theoretical analysis on roughness of hole surface

To avoid the machine problems of excessive axial force, complex process flow and frequent tool changing during robotic drilling holes, a new hole-making technology (i.e., helical milling hole) was introduced for designing a new robotic helical milling hole system, which could further improve robotic hole-making ability in airplane digital assembly. After analysis on the characteristics of helical milling hole, advantages and limitations of two typical robotic helical milling hole systems were summarized. Then, vector model of helical milling hole movement was built on vector analysis method. Finally, surface roughness calculation formula was deduced according to the movement principle of helical milling hole, then the influence of main technological parameters on surface roughness was analyzed. Analysis shows that theoretical surface roughness of hole becomes poor with the increase of tool speed ratio and revolution radius. Meanwhile, the roughness decreases according to the increase of tool teeth number. The research contributes greatly to the construction of roughness prediction model in helical milling hole.