基于ET-WG和ET-OWG算子的二元语义群决策法

针对一类属性值和权重值均为语言评价信息的多属性群决策问题,提出了一种群决策分析方法.首先,为了便于语言评价信息的集结运算,提出了一些新的集结算子:扩展的二元语义加权几何(ET-WG)算子和扩展的二元语义有序加权几何(ET-OWG)算子,并分析了这些算子的性质.然后提出了一种基于ET-WG算子和ET-OWG算子的群决策方法,其核心是通过语言信息的集结运算,得到各方案的群体综合评价信息,从而根据二元语义信息的比较原则,得到所有方案的排序结果.最后给出了一个实例分析,说明了本文提出方法的可行性和实用性.     

Closed circle DNA algorithm of change positive-weighted Hamilton circuit problem

Chain length of closed circle DNA is equal. The same closed circle DNA's position corresponds to different recognition sequence, and the same recognition sequence corresponds to different foreign DNA segment, so closed circle DNA computing model is generalized. For change positive-weighted Hamilton circuit problem, closed circle DNA algorithm is put forward. First, three groups of DNA encoding are encoded for all arcs, and deck groups are designed for all vertices. All possible solutions axe composed. Then, the feasible solutions axe filtered out by using group detect experiment, and the optimization solutions are obtained by using group insert experiment and electrophoresis experiment. Finally, all optimization solutions are found by using detect experiment. Complexity of algorithm is concluded and validity of DNA algorithm is explained by an example. Three dominances of the closed circle DNA algorithm are analyzed, and characteristics and dominances of group delete experiment axe discussed.     

Symmetry in world trade network

Symmetry of the world trade network provides a novel perspective to understand the world-wide trading system. However, symmetry in the world trade network (WTN) has been rarely studied so far. In this paper, the authors systematically explore the symmetry in WTN. The authors construct WTN in 2005 and explore the size and structure of its automorphism group, through which the authors find that WTN is symmetric, particularly, locally symmetric to a certain degree. Furthermore, the authors work out the symmetric motifs of WTN and investigate the structure and function of the symmetric motifs, coming to the conclusion that local symmetry will have great effect on the stability of the WTN and that continuous symmetry-breakings will generate complexity and diversity of the trade network. Finally, utilizing the local symmetry of the network, the authors work out the quotient of WTN, which is the structural skeleton dominating stability and evolution of WTN. This research was supported by the National Natural Science Foundation of China under Grant No. 70371070; Shanghai Leading Academic Discipline Project under Grant No. S30504; and Key Project for Fundamental Research of STCSM under Grant No. 06JC14057.     

基于双向投影法的概率语言多属性群决策

针对概率语言信息下的多属性群决策问题,首先基于概率语言术语集(probabilistic linguistic term sets, PLTS)的调整规则和语言尺度函数,定义了PLTS的新运算,并证明其满足代数运算的基本性质。然后,为解决现有向量模公式在下标对称语言下计算结果与实际不符的问题,提出一种改进的概率语言信息下的向量模公式。在此基础上定义方案与正、负理想解形成的向量表示式,并建立针对概率语言信息的双向投影法,由此提出新的贴近度公式。最后,通过应用算例的对比分析验证了本文所提方法的有效性和可行性。该方法充分考虑了PLTS的数据特征,在简化计算的同时避免了信息损失,为解决概率语言信息中数值差异较小的问题提供了新的方法和思路。     

Some interval-valued intuitionistic uncertain linguistic hybrid Shapley operators

Two interval-valued intuitionistic uncertain linguistic hybrid operators cal ed the induced interval-valued intuitionistic uncertain linguistic hybrid Shapley averaging （I-IIULHSA） operator and the induced interval-valued intuitionistic uncertain linguistic hybrid Shapley geometric （I-IIULHSG） operator are defined. These operators not only reflect the importance of elements and their ordered positions, but also consider the correlations among elements and their ordered positions. Since the fuzzy measures are defined on the power set, it makes the problem exponentially complex. In order to simplify the complexity of solving a fuzzy measure, we further define the induced interval-valued intuitionistic uncertain linguistic hybrid λ-Shapley averaging （I-IIULHλSA） operator and the induced interval-valued intuitionistic uncertain linguistic hybrid λ-Shapley geometric （I-IIULHλSG） operator. Moreover, an approach for multi-attribute group decision making under the interval-valued intuitionistic uncertain linguistic environment is developed. Finally, a numerical example is provided to verify the developed procedure and demonstrate its practicality and feasibility.     

Group consensus for multiple networked Euler-Lagrange systems with parametric uncertainties

In this paper,a group consensus problem is investigated for multiple networked agents with parametric uncertainties where all the agents are governed by the Euler-Lagrange system with uncertain parameters.In the group consensus problem,the agents asymptotically reach several different states rather than one consistent state.A novel group consensus protocol and a time-varying estimator of the uncertain parameters are proposed for each agent in order to solve the couple-group consensus problem.It is shown that the group consensus is reachable even when the system contains the uncertain parameters.Furthermore,the multi-group consensus is discussed as an extension of the couple-group consensus,and then the group consensus with switching topology is considered.Simulation results are finally provided to validate the effectiveness of the theoretical analysis.     

决策要素动态变化的群体决策偏好演化过程

研究交互式动态群体决策偏好收敛自适应过程的内在机制和规律,发现和控制影响群体一致度和偏好收敛时间的关键因素,以改善群体决策时间绩效. 应用计算实验方法,基于Deffuant有界自信假设的妥协策略,在微观层面上构建偏好演化动力 学模型,模型符合群体决策共识过程原则要求;在模型基础上观察分析个体属性特征对一致性绩效、收敛时间绩效的作用. 论文在决策成员社会惰性、空间位置、决策偏好动态变化的决策情景中,研究决策者社会惰性对群体决策偏好收敛时间的影 响. 建立了动态群体决策的概念框架,分别针对惰性不变的偏好演化模型和惰性变化的偏好演化模型设计了两个计算实验. 实验1：比较不同社会惰性水平p^*和不同选择半径r组合下,决策偏好时间T_c的变化. 实验2：比较不同惰性 递增速率v和不同惰性递增上限ps组合下,决策偏好时间T_c的变化. 研究发现：1）社会惰性越大,对 偏好收敛的阻滞效应越显著;2） r越小,T_c随着p*递增的趋势更强;3）当扩大决策成员交互对象的 选择范围,T_c的波动减小,群体达成共识的时间更稳定;4）当社会惰性值随休眠持续期在一定范围内线性 递增时,T_c递增存在一个分界值.     

属性添加情况下的概念格重构算法

研究在给定的形式背景下,通过逐步添加属性建造概念格的方法.一般地,初始概念格可由部分属性生成.当添加属性时,得到了新节点与它在原概念格中的直接父节点是一一对应的结论.证明了所有新节点在原概念格中的直接父节点,只可能在某个节点和它的子节点中.基于上述性质,给出了添加属性情况下的重建概念格算法.此算法的优点是生成新节点的范围小,构建概念格的速度快.     

基于语言评价矩阵的评判专家水平研究

针对语言评价矩阵的评判专家水平问题,给出了一种分析方法。首先,给出有关语言评价矩阵及两个语言之间的一致性定义,然后通过定义有关专家对各个方案的一致性指标及专家对各个指标的一致性指标,给出了基于语言评价矩阵形式偏好信息的专家评判水平的判别方法及专家群体判断共识性的分析方法。最后,通过一个算例说明了所提出分析方法的有效性。     

群决策中模糊偏好关系矩阵一致性的调整方法

针对模糊偏好关系矩阵本身是否一致,使得原矩阵渐进逼近目标矩阵的问题,提出了群决策中模糊偏好关系矩阵一致性调整的新方法。该方法基于目标矩阵的最优选择,提出了一种新的目标矩阵R,使得计算得来的调和矩阵较之原矩阵在一定条件下保留了更多的偏好信息,即在很大程度上保留着群决策中决策者的意愿。最后给出了算例进行比较,说明了该方法的优势。