关于Vague集的相似度量定义的注

克服在许多公式中,当Vague值x=[01]和y=[01]时,Vague值之间的相似度量值M(xy)=1的缺陷,给出Vague集的相似度量新的定义,并给出符合相似度量新定义的一个公式。     

关于Vague集的相似度量的一个注

Vague集的相似度量在Vague集的应用中具有极其重要的地位.分析了现有3类Vague集(值)之间的相似度量方法 ,指出这些相似度量方法的分类是源于对特殊Vague值s=[0,1]的处理上.提出Vague集之间新的相似度量的定义.给出Vague集之间新的相似度量公式.该公式的结构是简洁的.     

Vague集方案优选算法在传动方案优选中的应用

针对火力发电厂的圆锥滚筒筛主结构传动设计方案问题,提出完整的Vague集传动设计方案决策优选算法。应用Vague集的相似度量分析,在一套新的Vague集(值)之间的相似度量公式的基础上,提出两个从区间值数据向Vague数据转化的公式,这两类公式成为完整的Vague方案优选方法的两个技术支撑。实验数据结果说明文中所提出的公式和方法都是实用的。     

Vague模式排序法进行目标价值排序

提出从Fuzzy数据向Vague数据的两个转化公式,提出Vague集之间的相似度量公式。数据转化公式和相似度量公式是Vague模式排序法的两个基础。该方法能进行目标价值排序,也能为如何选择更重要攻击目标提供理论依据。应用实例表明Vague模式排序法是实用的。     

Vague集之间的距离公式

指出Vague集(值)之间的距离公式应遵循的公理,并提出两个新的Vague集之间的距离公式。证明了这些距离公式满足这些公理,使得在进行Vague规则聚类时,对距离公式有选择的余地,以便当规则库较大时,降低Vague推理时的搜索规模和减少计算的复杂性。     

关于区间值数据向Vague值数据转化公式的研究

提出了区间值数据向Vague值数据的转化准则和定义,以及两个区间值数据向Vague值数据的转化公式。例题表明不同公式有不同的特征。     

Vague集（值）之间的新相似度量

提出Vague集（值）之间的新相似度量,给出一个区间值数据向Vague值数据的转化公式。农业领域的应用实例进一步表明这些公式是实用的。     

联图[K1,1,3∨Cn]的交叉数

联图[G∨H]表示将[G]的每个顶点与[H]的每个顶点连边得到的图。在Klesc给出的联图[K1,1,2∨Cn]的交叉数为[Z(4,n)+n2+3]的基础上,根据联图的相关性质,运用反证法和排除法,得到了联图[K1,1,3∨Cn]与[{K1,1,3+e}∨Cn]的交叉数均为[Z(5,n)+n+n2+4]。并假设在Zarankiewicz猜想成立的前提下,提出对[K1,1,m∨Cn(m≥4)]的交叉数的一个猜想：[cr?(K1,1,m∨Cn)≥Z(m+2,n)+m+12m2n2+m2m-12n2+][m+1,m≥4]。     

单值数据转化为Vague值数据的定义和转化公式

提出了单值数据转化为Vague值数据的定义和准则,提出了两个单值数据向Vague值数据的转化公式。例题表明不同公式有不同的特征。     

Vague相似度量与Vague熵

德国数学家G.Contor于19世纪创建了经典集合论,集合中的元素只能在{0,1}中取值,无法处理具有模糊性和不确定性的信息和数据。Zadeh于1965年提出了模糊集合论,将集合中的元素定义在[0,1]区间中取值,为我们描述世界提供了一个更符合实际的方法和工具。1993年Gau和Buehrer提出了Vague集的概念(与Atanassov提出的直觉模糊集的概念相同)将集合中元素的取值定义为[0,1]中的一个子区间,进一步加强了对客观世界描述的真实程度。Vague集是一个有着广泛应用前景的理论,目前国外已有些学者将此技术     

Bounds for closed-loop transfer functions of multivariable systems

A multivariable feedback system y(s)=G(s)x(s), x(s) = u(s)- F(s)y(s) is treated where G(s) ≜ (gkl(s)) is the transfer function matrix of a plant and F(s) ≜ diag(f1(s),...,fn(s)) is that of a controller. A new bound for the transfer function hj(s) that relates yj(s) to uj(s) when fj(s)≡ 0 is given. The main result reads |hj(s)- gjj(s)| < aj(s) if |fk(s)^-1+ gkk(s)| > ak(s) for k = 1,... ,n; k≠j. Here, A ≜ diag(a1(s),...,an(s)) is a diagonal matrix which makes A-B a semi-M-matrix where B ≜ (bkl) is given by bkk=0, bkl= |gkl(s)| (k≠l). A similar result is also obtained for the inverse transfer function.     

Value集之间的相似度量定义的再讨论

从分析现有Vague值之间的相似度量的缺陷出发,给出一种Vague集相似度量新定义,试图解决该问题,并提出Vague集相似度量新公式。应用实例显示,该公式是实用的。     

The reliability of general vague fault-tree analysis on weapon systems fault diagnosis

An algorithm of vague fault-tree analysis is proposed in this paper to calculate fault interval of system components from integrating expert's knowledge and experience in terms of providing the possibility of failure of bottom events. We also modify Tanaka et al's definition and extend the new usage on vague fault-tree analysis in terms of finding most important basic system component for managerial decision-making. In numerical verification, the fault of automatic gun is presented as a numerical example. For advanced experiment, a fault tree for the reactor protective system is adopted as simulation example and we compare the results with other methods. This paper also develops vague fault tree decision support systems (VFTDSS) to generate fault-tree, fault-tree nodes, then directly compute the vague fault-tree interval, traditional reliability, and vague reliability interval.     

Fault diagnosis of turbine based on fuzzy cross entropy of vague sets

The fuzzy cross entropy of vague sets, so-called vague cross entropy, is introduced by analogy with the cross entropy of probability distributions. And then a new method of the fault diagnosis is proposed on the basis of the vague cross entropy and is applied to the fault diagnosis of turbine. The vague cross entropy between a testing sample and the knowledge of system faults is evaluated in the fault diagnosis of the turbine vibration. If the cross-entropy value is small, the testing sample is near to a type of fault knowledge. Then, the type of vibration fault is determined according to the minimum cross-entropy value. The fault-diagnosis example of the turbine demonstrates that the proposed method cannot only diagnose the main fault types of the turbine, it can also detect useful information for future trends and multi-fault analysis.     

Fault-free Hamiltonian cycles in faulty arrangement graphs

The arrangement graph A_n,k, which is a generalization of the star graph (n-k=1), presents more flexibility than the star graph in adjusting the major design parameters: number of nodes, degree, and diameter. Previously, the arrangement graph has proved Hamiltonian. In this paper, we further show that the arrangement graph remains Hamiltonian even if it is faulty. Let |F_e| and |F_v| denote the numbers of edge faults and vertex faults, respectively. We show that A_n,k is Hamiltonian when 1) (k=2 and n-k⩾4, or k⩾3 and n-k⩾4+[k/2]), and |F_e|⩽k(n-k)-2, or 2) k⩾2, n-k⩾2+[k/2], and |F_e|⩽k(n-k-3)-1, or 3) k⩾2, n-k⩾3, and |F_e |⩽k, or 4) n-k⩾3 and |F_v|⩽n-3, or 5) n-k⩾3 and |F_v|+|F_e|⩽k. Besides, for A_n,k with n-k=2, we construct a cycle of length at least 1) [n!/(n-k!)]-2 if |F_e|⩽k-1, or 2) [n!/(n-k)!]-|F_v |-2(k-1) if |F_v|⩽k-1, or 3) [n!/(n-k)!]-|F_v |-2(k-1) if |F_e|+|F_v|⩽k-1, where [n!/(n-k)!] is the number of nodes in A_n,k     

树的毁度的算法

图G的毁度定义为r(G)=max｛ω(G-X)-｜X｜-m(G-X):X∈V(G),ω(G-X)>1｝,其中ω(G-X)表示G-X的连通分支数,m(G-X)表示G-X的最大连通分支的阶,此参数很好地刻画了网络图的脆弱性(见文[2])。若G为一般图,其毁度的计算为NPC问题(见文[3])。文章给出了树的毁度的一个递归算法。     

All-To-All Personalized Communication in Wormhole-Routed 2D/3D Meshes and Multidimensional Interconnection Networks

2004.29计算机工程与应用1INTRODUCTIONInamessage-passingmulti-computernetwork,processorsoftenneedtocommunicatewitheachotherforvariousrea-sons,suchasloadbalancing,eventsynchronization,anddataexchange.Basedonthenumberofsendingandreceivingpro-cessors,thesecommunicationscanbeclassifiedintocommuni-cationpatternssuchasone-to-one(unicast),one-to-many(multicast),one-to-all(broadcast),andall-to-all.Thenatureofthemessagetobesentcanbeclassifiedaspersonalizedornon-personalized.Theall-to-allpersonalized…     

Vague值向Fuzzy隶属度转化方法的准则

引入从Vague值A(u)导出的Vague值A軒(u)、赞成与反对程度、可能的不确定度、可能的赞成与反对程度等概念,应用这些概念提出两种把Vague值转换成Fuzzy隶属度的方法,提出判断Vague值转化为Fuzzy隶属度的准则,证明四种“转化”方法满足这些准则。     

Stability of sampled-data composite systems with many nonlinearities

A sampled-data composite system given by a set of vector difference equationsx_{i}(tau + 1) - x_{i}(tau) = sum min{j = 1} max{n} A_{ij} f_{j}[x_{j}(tau)], i = 1 ..., nis dealt with. The system given byx_{i}(tau + 1) - x_{i}(tau) = A_{ij} f_{i}[x_{i}(tau)]is referred to as theith isolated subsystem. It is shown that the composite system is asymptotically stable in the large if the fisatisfy certain conditions and the leading principal minors of the determinant|b_{ij}|, i,j = 1, ..., n,are all positive. Here, the diagonal element biiis a positive number such that|x_{i}(tau + 1)| - |x_{i}(tau) | leq - b_{ij}| f_{i}[x_{i}(tau)]|holds with regard to the motion of theith isolated subsystem, and the nondiagonal elementb_{ij} , i neq j, is the minus of|A_{ij}|, which is defined as the maximum of|A_{ij}x_{j}|, for|x_{j}| = 1. Some extensions of this result are also given. Composite relay controlled systems are studied as examples.