一类高阶线性微分方程的算子解法及其解的稳定性

本文利用微分算子研究一类高阶线性微分方程的解法及其解的稳定性,推广了文[3]的有关结果.     

一种基于四阶偏微分方程的图像去噪方法

本文在You-Kaveh模型的基础上,提出了一个新的拉普拉斯算子,使其能够包括更多的图像信息,同时改进了拉普拉斯算子的离散形式,得到了一个新的四阶偏微分方程。实验结果表明,新模型和You-Kaveh模型相比,不仅能够更好地去除高斯噪声,而且视觉效果更加理想。     

广义BabyTKK代数的Boson-fermion场下的不可约模

研究对应于欧式空间中最小（非格）半格S的babyTKK李代数^g（T（S））的泛中心扩张广义babyTKK代数^g（T（S））的一类boson-fenmion场下的不可约表示，这里T（S）为半格S∈R^υ（υ=2）上的Jordan代数。     

Consensus intuitionistic fuzzy group decision-making method for aircraft cockpit display and control system evaluation

A novel group decision-making (GDM) method based on intuitionistic fuzzy sets (IFSs) is developed to evaluate the ergonomics of aircraft cockpit display and control system (ACDCS). The GDM process with four steps is discussed. Firstly, approaches are proposed to transform four types of common judgement representations into a unified expression by the form of the IFS, and the features of unifications are analyzed. Then, the aggregation operator called the IFSs weighted averaging (IFSWA) operator is taken to synthesize decision-makers’ (DMs’) preferences by the form of the IFS. In this operator, the DM’s reliability weights factors are determined based on the distance measure between their preferences. Finally, an improved score function is used to rank alternatives and to get the best one. An illustrative example proves the proposed method is effective to valuate the ergonomics of the ACDCS.     

Bernstein—Fan—Kantorovich算子及其渐近展开

研究了具有三角形波基函 的Ｂｅｒｎｓｔｅｉｎ－Ｆａｎ插值算子的一个应用；ｋａｎｔｏｒｏｖｉｃｈ型算子的渐近逼近。     

变尺度梯度投影算子的一些性质

变尺度梯度投影算法是解决带约束非线性规划问题的一个常用方法，本文主要给出变尺度梯度投影算子的一些性质。     

双参数变形多模增减光子的相干态及其完备性关系

在双参数变形多模Ｆｏｃｋ空间中引入了双参数变形多模玻色振子的逆算符，构造了相应的多模增减光子的相干态及其完备性关系。     

HIs classification in HCR model for operator reliability study of nuclear power plants

The human cognition reliability model is used to study time-related human response interaction (HI). The classification of HI types is an important base. At present, the two types of HIS classification (i.e. SRK classification and CP classification) are based on subjective or objective characteristics respectively by which some phenomena can be hardly explained. Since the types were limited, they could not meet the requirements. The integrate approach of HIs classification is compatible with the original methods, and HIs are classified according to subjective and objective characteristics. The integrate approach contains more detailed types and has higher precision. It is more advantageous and convenient for the classification of HIs. The integrate approach has been used in the study of operator reliability for nuclear power plants in China. The results were satisfactory, and by which the integrate approach was verified.     

半线性椭圆型方程组边值问题正解的研究

以不动点定理为主要工具，证明了一类半线性椭圆型方程组正解的存在性，并通过对非线性项适当的限制，给出了唯一性的证明     

Bernstein—Fan插值算子列的若干饱和性质

利用由Bajsanski-Bojanic创立的抛物线技巧，研究了具有三角形波其函数的Bernstein-Fan插值算子的若干饱和理论。