Rough function model and rough membership function

Two pairs of approximation operators, which are the scale lower and upper approximations as well as the real line lower and upper approximations, are defined. Their properties and antithesis characteristics are analyzed. The rough function model is generalized based on rough set theory, and the scheme of rough function theory is made more distinct and complete. Therefore, the transformation of the real function analysis from real line to scale is achieved. A series of basic concepts in rough function model including rough numbers, rough intervals, and rough membership functions are defined in the new scheme of the rough function model. Operating properties of rough intervals similar to rough sets are obtained. The relationship of rough inclusion and rough equality of rough intervals is defined by two kinds of tools, known as the lower （upper） approximation operator in real numbers domain and rough membership functions. Their relative properties are analyzed and proved strictly, which provides necessary theoretical foundation and technical support for the further discussion of properties and practical application of the rough function model.     

多目标决策分析中的目标关联分析法

针对多目标决策中的各目标之间存在相互联系 ,提出了“目标关联分析法”,通过建立目标关联矩阵 ,运用线性变换将原来相互关联的目标变换成一组等价的独立目标 ,进而确定影响系统运行的主要因素及权重 ,同时将各方案的原目标取值转换为独立目标下的取值 ,为多目标问题的分析和决策提供了一种新方法 .     

测试代价敏感的粗糙集方法

在粗糙集模型中,α量化不可分辨关系是强与弱不可分辨关系的推广形式.然而值得注意的是,基于这三种不可分辨关系的粗糙集并未考虑数据中属性的测试代价.为解决这一问题,提出了测试代价敏感的α量化粗糙集模型,从二元关系的角度使得粗糙集模型代价敏感,并将新模型与基于强不可分辨、弱不可分辨以及传统α量化不可分辨关系的粗糙集模型进行了对比分析.进一步地,通过分析传统启发式算法在求解约简的过程中未考虑降低代价这一不足之处,提出一种新的属性适应性函数,并将其应用于基于遗传算法的约简求解中.实验结果表明该方法不仅可以降低由边界域所带来的不确定性而且同时降低了约简后的测试代价.     

基于模糊邻近关系的结构聚类

在有序粒度空间理论的基础上,提出了基于模糊邻近关系的结构聚类分析理论和方法.首先,给出了依据距离的一致聚类的概念,提出了模糊粒度空间的一致聚类特征;其次,给出了模糊邻近关系结构聚类的粒度表示,并获得了基于模糊邻近关系结构聚类的快速算法;进而,提出了获取最佳聚类的新方法,并且这一方法是全局最优的;最后,给出了通过两个模糊邻近关系的交运算获取结构聚类融合的方法.为复杂系统结构分析研究提供了一整套理论工具和方法.     

一种支持产品开发的数据仓库模型

当前的数据仓库系统主要采用雪花模型，但是它存在着存取效率低等优点，我们的数据仓库系统是依据市场的销售量情况，来支持产品开发决策，直接采用雪花模型将难以满足要求，本文在常用的雪花模型的基础上融入面向对象技术的一些思想，提出了一种对象和雪花模型混合的数据仓库模型，并用实验数据验证了该模型的高效存取能力。     

Relation Entropy and Transferable Entropy Think of Aggregation on Group Decision Making

1　 IntroductionThere are many methods in studying uncertainty,and among them the sets pair analysis isa new method. It is used widely in many fields,such as behavior science,social science,managementscience and so on,and the effectis especially betterin decision making.″Setspair″means the combination of two sets having some relation.In the view of systemscience,any two parts of system can be considered as a sets pair in certain condition,suchas system and circumstance,system and people,betw…     

ANALYSIS AND COMPUTATIONAL ALGORITHM FOR QUEUES WITH STATE-DEPENDENT VACATIONS Ⅱ:M(n)/G/1/K

We study a single-server queueing system with state-dependent arrivals and general service-distribution.or simply M(n)/G/1/K.where the server follows an N policy and takes multiple vacationswhen the system is empty.We provide a recursive algorithm using the supplementary variable tech-nique to munerically compute the stationary queue length distribution of the system.The only inputrequirements are the Laplace-Stieltjes transforms of the service time distribution and the vacation timedistribution.and the state-dependent arrival rate.The computational complexity of the algorithm isO(K~3).     

基于频控阵的递推最小二乘波束形成算法

频控阵通过在阵元间加入远小于载频的频率增量,使波束的空间分布距离-角度二维相关。基于频控阵基本结构,引入两种接收信号处理机制,并对其进行理论推导分析,仿真表明两种机制均能有效接收信号。针对指向误差存在,导向矢量失配导致主瓣发生偏移问题,采用递推最小二乘波束形成算法处理。仿真结果表明,存在指向误差时,该算法在两种机制中均能在目标位置形成主瓣,在干扰位置形成零陷,验证了算法在频控阵中应用的稳健性。     

优秀女子排球运动员扣球高度影响因素的灰色关联度分析

对优秀女子排球运动员扣球高度影响因素进行灰色系统理论的关联度分析,以寻求各影响因素的影响度．研究结果表明：因素关联度依次为身高、体重、克托莱指数和年龄．