A third order partial differential equation for isotropic boundary based triangular Bézier surface generation

We approach surface design by solving a linear third order Partial Differential Equation (PDE). We present an explicit polynomial solution method for triangular Bézier PDE surface generation characterized by a boundary configuration. The third order PDE comes from a symmetric operator defined here to overcome the anisotropy drawback of any operator over triangular Bézier surfaces.     

机械相控阵列天线的电机控制系统设计

为实现机械相控阵列天线的波束扫描,采用直流电机驱动螺旋天线单元转动来达到预定的辐射相位.利用数字信号处理芯片TMS320F2812设计了直流电机位置控制系统,介绍了控制系统的硬件设计方案、控制策略及软件设计方案.针对直流电机驱动的螺旋天线单元位置控制系统,研究了模糊PID控制算法,并把它应用到控制系统中.实验结果表明,...     

Chromatographic selectivity triangles

2010 marked the 50th anniversary of the use of selectivity triangles to characterize chromatographic phases. Such plots ultimately identify and quantify the blend of intermolecular interactions that occur between solutes and solvents/phases. The first chromatographic triangle was proposed by Brown and applied to GC stationary phases. Snyder then developed the influential solvent selectivity triangle (SST) based on the gas-liquid partition data of Rohrschneider. The SST was combined with simplex experimental designs to optimize RPLC separations. Subsequent criticisms of the work revolved around the inaccurate predictions that resulted from the SST. These inaccuracies ultimately relate to the inability of the SST to account for the effects of water on the interaction ability of organic solvents. Other criticisms focused on the selection of the three probe solutes (ethanol, dioxane, and nitromethane) that were used to define the apices of the SST. Here, the concerns include the lack of explicit consideration of dispersion interactions and the fact that the three probes do not represent any single intermolecular interaction but rather reflect a blend of intermolecular interactions. The SST approach was modified for NPLC by redefining the triangle apices to reflect the localization, general adsorption, and basicity of NPLC mobile phase modifiers. Because water is generally absent in NPLC, the triangle approach leads to better predictions for NPLC than for RPLC. In subsequent modifications of selectivity triangles, Fu and Khaledi have created a micellar selectivity triangle (MST) based on linear solvation energy relationships (LSERs) and Zhang and Carr have used the Dolan-Snyder hydrophobic subtraction model to create RPLC column selectivity triangles. We end this review by highlighting more recent methods for comparing selectivities and by discussing a new 3D visualization tool for classifying chromatographic systems as having similar or different fundamental energetics of retention and hence having similar or different selectivities.     

基于概率犹豫模糊相似度的交互式群体决策方法

概率犹豫模糊集（probabilistic hesitant fuzzy set,PHFS）是犹豫模糊集的推广,在犹豫模糊集基础上通过为每个隶属度添加与之相对应的概率,以全面表达专家赋予的初始决策信息,是处理多属性指标决策问题的一种有效工具。首先,介绍了概率犹豫模糊数（PHFN）的基本定义和相关运算,指出了传统PHFN的得分函数和汉明距离的不足,并给出了改进方法。其次,通过适当补充隶属度集合中的元素数量提出了PHFN的汉明距离和相似度概念,依据专家赋予的评价矩阵引入了概率犹豫模糊矩阵（PHFM）相似度。最后,在概率犹豫模糊环境下基于PHFM相似度提出了一种交互式群体评价算法,并用实例验证了算法的有效性。     

A 10-Gbps × 12-Channel Pluggable Parallel Optical Transceiver Based on CXP Interface Specifications

Abstract

A novel 10-Gbps × 12-channel pluggable parallel optical transceiver is designed and fabricated. Compared with other optical transceivers, this transceiver emphasizes small size, high-density, low power consumption, and high transmission speed. Most importantly, its optical coupling structure is simplified to promote cost-effective large-scale production. This transceiver is electrically pluggable and consists of transmitter and receiver modules linked by parallel multi-mode fibers. Each module consists of a six-layered high-speed, high-density printed circuit board, the size of which is 30 mm × 18 mm × 1 mm, packaged with optoelectronic devices and corresponding control chips. The printed circuit boards not only provide a high-speed electrical connection between the I/O interfaces and high-speed chips, but they also supply power and ground planes to those chips. End-to-end error-free transmission at 10.3125 Gbps was obtained for a 2³¹ ? 1 non-return-to-zero pseudo-random bit sequence.     

A closed form type reduction method for piecewise linear interval type-2 fuzzy sets

In this study, a new centroid type reduction method is proposed for piecewise linear interval type-2 fuzzy sets based on geometrical approach. The main idea behind the proposed method relies on the assumption that the part of footprint of uncertainty (FOU) of an interval type-2 fuzzy set (IT2FS) has a constant width where the centroid is searched. This constant width assumption provides a way to calculate the centroid of an IT2FS in closed form by using derivative based optimization without any need of iterations. When the related part of FOU is originally constant width, the proposed method finds the accurate centroid of an IT2FS; otherwise, an enhancement can be performed in the algorithm in order to minimize the error between the accurate and the calculated centroids. Moreover, only analytical formulas are used in the proposed method utilizing geometry. This eliminates the need of using discretization of an IT2FS for the type reduction process which in return naturally improves the accuracy and the computation time. The proposed method is compared with Enhanced Karnik–Mendel Iterative Procedure (EKMIP) in terms of the accuracy and the computation time on seven test fuzzy sets. The results show that the proposed method provides more accurate results with shorter computation time than EKMIP.     

Hierarchical structure and applications of fuzzy logical systems

This paper focuses on hierarchical structures of formulas in fuzzy logical systems. Basic concepts and hierarchical structures of generalized tautologies based on a class of fuzzy logical systems are discussed. The class of fuzzy logical systems contains the monoidal t-norm based system and its several important schematic extensions: the ?ukasiewicz logical system, the Gödel logical system, the product logical system and the nilpotent minimum logical system. Furthermore, hierarchical structures of generalized tautologies are applied to discuss the transformation situation of tautological degrees during the procedure of fuzzy reasoning.     

一种基于梯形模糊数的模糊多属性格序决策方法

从格序结构理论出发,根据梯形模糊数构成的集合按照一定的比较规则构成一偏序,进而满足一定条件构成格.给出了在应用具有梯形模糊数的多属性格序决策过程中格中缺失元素的补充机理.研究了用格序决策理论对梯形模糊数进行排序的方法,并将其用于投资者对投资方案的选择.     

山区高速铁路初步设计阶段方案比选的模糊数学方法

在山区高速铁路建设中,初步设计阶段常遇到多方案比选问题.而方案选择涉及因素众多,难以定量分析.针对此问题,引入模糊综合评价模型对各方案进行比选.以渝万铁路客运专线为例,应用模糊综合评价模型对有关方案进行了比选研究,最终得到了首选方案.     

直觉模糊变换半群的积与覆盖关系

提出了直觉模糊变换半群的(全)直积,圈积,直觉模糊变换半群的覆盖的定义,利用代数的手段讨论了直觉模糊变换半群的积的结合性质,研究了直觉模糊变换半群的积的覆盖关系.