The Hiding Characteristic of F-interior Hiding Image and Its Applications

, By using function one direction S-rough sets, the concept of F-interior hiding image is presented; the theorem of F-interior hiding and the recognition criteria of interior hiding are proposed;and the applications of F-interior hiding image are given. F-interior hiding image is a new application area of function S-rough sets, and function S-rongh sets is a new theory and new tools for iconology research.     

一类变形的McMullen集的维数及其应用

研究了平面上一类变形的Mc Mullen集R=∑∞k=1a00b-kxkyk,(xk,yk)R,其中整数a,b满足|a|≥|b|1或者|b|≥|a|1,有限整数点集R{(i,j),i=0,1,…,n-1,j=0,1,…,m-1},得到了这类自仿射集的Hausdorff维数和Box维数的计算公式.并且作为其应用给出了自仿射集R=∑∞k=1a bb a-kxkyk,(xk,yk)R相应的Hausdorff维数和Box维数,其中整数a,b满足|a-b|≥|a+b|1或者|a+b|≥|a-b|1有限整数点集R{(i+j,-i+j),i=0,1,…,|a-b|-1,j=0,1,…,|a+b|-1}.     

Machine intelligence,rough sets and rough-fuzzy granular computing:uncertainty handling in bio-informatics and Web intelligence

Machine intelligence,is out of the system by the artificial intelligence shown.It is usually achieved by the average computer intelligence.Rough sets and Information Granules in uncertainty management and soft computing and granular computing is widely used in many fields,such as in protein sequence analysis and biobasis determination,TSM and Web service classification Etc.     

三分康托集与其两个平移交的维数(英文)

C为三分康托集,考虑何时交集C∩(C+t)∩(C+s)非空,计算出当交集非空时(t,s)的Hausdorff维数.证明了:对于平面上几乎处处的(t,s),dim_HC∩(C+t)∩(C+s)=0.利用Moran集的相关结论得到当交集非空时dim_H C∩(C+t)∩(C+s)的表达式.     

Attribute Reduction in Decision Systems Based on Relation Matrix

<正>This paper proposes,from the viewpoint of relation matrix,a new algorithm of attribute reduction for decision systems.Two new and relative reasonable indices are first defined to measure significance of the attributes in decision systems and then a heuristic algorithm of attribute reduction is formulated.Moreover,the time complexity of the algorithm is analyzed and it is proved to be complete.Some numerical experiments are also conducted to access the performance of the presented algorithm and the results demonstrate that it is not only effective but also efficient.     

Pessimistic Rough Decision

<正>With granular computing point of view,this paper first presents a novel rough set model with a multigranulation view,called pessimistic rough decision,where set approximations are defined through using consistent granules among multiple granular spaces on the universe.Then,we investigate several important properties of the pessimistic rough decision model.With introduction of the rough set model,we have developed two types of multigranulation rough sets(MGRS):optimistic rough decision and pessimistic rough decision. These multigranulation rough set models provide a kind of effective approach for problem solving in the context of multi granulations.     

基于新息正交性抗野值的自适应的α-β-γ滤波跟踪器

针对传统α-β-γ滤波器抗野值能力差和受跟踪精度与收敛速度之间的矛盾以及系数固定的影响而难以跟踪强机动性目标的局限性,设计了一种基于新息正交性抗野值的自适应的α-β-γ滤波跟踪器。该滤波器通过判断α-β-γ滤波新息序列估计值的正交性质是否丧失而判别出观测值中是否存在野值,采用活化函数对新息序列进行加权修正,利用活化函数的性质,恢复新息序列原有的统计特性和正交性,从而达到抗野值的目的。同时,根据目标机动性的变化,利用跟踪误差调整模糊集系统的输出,在保证精度的前提下,得到自适应的系数值,使跟踪结果快速收敛,很好地解决了跟踪精度与收敛速度之间的矛盾。计算机仿真结果表明,在满足所要求精度的前提下,该算法可以克服传统算法的局限性,解决野值剔除问题,并有效跟踪强机动性目标。     

关于k商映射的注记

本文给出了度量空间的k商s映像的内在刻画,利用由确定的集族诱导的弱拓扑刻画了序列商映射和k商映射,并且讨论了几类弱拓扑之间的关系.     

一种新的模糊集合模糊度公式

根据决策者的偏好,结合模糊集的位置引入位置影响因子,得到基于模糊集与最模糊集相对贴近度的新模糊度公式,并用算例检验其合理性和分辨力.新模糊度公式能有效地比较模糊集之间的模糊程度大小.     

S-粗决策及其F-干扰生成

针对动态决策系统具有的干扰特性和决策的不确定性,利用双向S-粗集提出了F-干扰粗决策与F-干扰粗决策规律的概念,并对F-干扰粗决策生成与F-干扰粗决策规律生成的特性进行了讨论,给出了F-干扰粗决策规律不可分辨定理与识别准则和应用.通过讨论和应用,说明利用F-干扰粗决策规律有助于在动态决策系统中分辨-识别出异常干扰,修正系统做出的决策,保证决策的安全.