Three-Way Decision Models Based on Ideal Relations in Multi-Attribute Decision-Making

In recent years, research on applications of three-way decision (e.g., TWD) has attracted the attention of many scholars. In this paper, we combine TWD with multi-attribute decision-making (MADM). First, we utilize the essential idea of TOPSIS in MADM theory to propose a pair of new ideal relation models based on TWD, namely, the three-way ideal superiority model and the three-way ideal inferiority model. Second, in order to reduce errors caused by the subjectivity of decision-makers, we develop two new methods to calculate the state sets for the two proposed ideal relation models. Third, we employ aggregate relative loss functions to calculate the thresholds of each object, divide all objects into three different territories and sort all objects. Then, we use a concrete example of building appearance selection to verify the rationality and feasibility of our proposed models. Furthermore, we apply comparative analysis, Spearman’s rank correlation analysis and experiment analysis to illustrate the consistency and superiority of our methods.     

A least‐square weighted residual method for level set formulation

In this paper, a least‐square weighted residual method (LSWRM) for level set (LS) formulation is introduced to achieve interface capturing in two‐dimensional (2D) and three‐dimensional (3D) problems. An LSWRM was adopted for two semi‐discretized advection and reinitialization equations of the LS formulation. The present LSWRM provided good mathematical properties such as natural numerical diffusion and the symmetry of the resulting algebraic systems for the advection and reinitialization equations. The proposed method was validated by solving some 2D and 3D benchmark problems such as those involving a rotating slotted disk, the rotation of a slotted sphere, and a time‐reversed single‐vortex flow and a deformation problem of a spherical fluid. The numerical results were compared with those obtained from essentially non‐oscillatory type formulations and particle LS methods. Further, the proposed LSWRM for the LS formulation was coupled with a splitting finite element method code to solve the incompressible Navier–Stokes equations, and then, the collapse of a 3D broken dam flow was well simulated; in the simulation, the entrapping of air and the splashing of the surge front of water were reproduced. The mass conservation of the present method was found to be satisfactory during the entire simulation. Copyright © 2011 John Wiley & Sons, Ltd.     

关于Halpern的一个定理

设M是闭的.连通的,光滑的m形,m>2, f映射,P二}xEM[f'(二)=二,对某个;,15r2的周期 本文利用复迭空间的概念推广     

罗素悖论与弗协调逻辑

本文以胡世华教授建立的自然推理系统为基础,构造了一个弗协调逻辑H.在以H为逻辑的弗协调集合论S_H中,罗素(B.Russell)命题是可证的.     

广义集值强非线性拟变分不等式

本文引入并研究一类新的广义集值强非线性拟变分不等式,讨论这类广义集值强非线性拟变分不等式解的存在性以及由算法所构造的迭代序列的收敛性.我们的结果改进和发展了Noor,Siddiqi和Ansari等人近期的一些主要结果.     

软件管道化方法

用完全数据关联图CDG来表述软件管道化问题,图中有向边表示循环中各指令间的关联性,同时提出了基础集的概念,平行可扩展的基础集可以覆循环的指令,文中用遗传算法来搜索基础集的最优解或次最优解,这种方法可以处理所有可能的数据关联性,从而可以将循环高度并行化。     

基于保守决策偏好的犹豫模糊余弦优化投影决策方法

针对犹豫模糊信息下的多属性决策问题,提出了余弦优化投影方法,将投影夹角定义为决策者的风险偏好,并设置了态度参数用于调节决策者的心理变化,通过灵活描述决策者的保守心理,改进了投影法仅考虑投影长度的不足,使决策者可通过投影长度和投影夹角对备选方案进行综合判断。算例验证了方法的合理性和可行性。     

关于康托集类光栅的实验探究

设计制作了康托集分形衍射光栅,通过对康托集分形光栅3个阶段的夫琅禾费衍射现象的观察,根据惠更斯-菲涅耳原理,得到了一维康托集分形光栅的夫琅禾费衍射光强分布特性.     

基于有效端元集的双线性解混模型

光谱解混是用于定量分析高光谱图像中成分含量的一项重要技术方法,主要包括线性解混模型和非线性解混模型。线性解混模型构造简单,但并未考虑不同成分光子间的相互影响,导致解混结果在很多实际图像上不够精确。常用的非线性混合模型中的双线性解混算法,随着图像中端元数量增加,虚拟端元的数量也随之快速增加,计算精度受到很大的影响。论文报道改进了双线性解混的模型,并提出一种有效端元子集的选择算法。首先结合欧氏距离和光谱夹角,按照与混合像元的距离,将所有端元排序;然后利用排序结果和误差变化情况选择实际参与混合的端元子集。从而降低了未参与特定混合像元混合的端元对解混结果的影响,提高了解混精度。对模拟图像的测试效果证明了该算法可以减小光谱的重构误差,对实际航拍高光谱溢油图像的分析结果也进一步说明了算法的有效性。     

相干多普勒测风激光雷达

 鉴于多普勒测风激光雷达在航空航天、遥感遥测、气象观测等军事及民用领域中的广泛应用,结合相干探测工作原理,介绍了国外几种典型波段相干多普勒测风激光雷达系统,重点分析了激光发射机/接收机、空间扫描、数据处理等关键技术,并对相干多普勒激光雷达的广阔应用前景进行了展望。指出国内相干多普勒测风激光雷达研究已取得的一些重要进展。