A Unified Approach to the Approximation of Multivariate Densities

Approximation of a density by another density is considered in the case of different dimensionalities of the distributions. The results have been derived by inverting expansions of characteristic functions with the help of matrix techniques. The approximations obtained are all functions of cumulant differences and derivatives of the approximating density. The multivariate Edgeworth expansion follows from the results as a special case. Furthermore, the density functions of the trace and eigenvalues of the sample covariance matrix are approximated by the multivariate normal density and a numerical example is given     

一种基于可能度的区间判断矩阵排序法

给出了区间数两两比较的一种可能度公式,以及文献[4]中的方法参数k,m的取值范围,提出了一种基于可能度的区间判断矩阵排序方法。最后,通过算例说明了该法的可行性和有效性。     

价值哲学的认识论转换--乌尔班价值理论研究

从乌尔班的《评价 :其性质及其法则》开始 ,价值哲学的研究主题发生了一种根本性的转变 :由新世界图景的价值哲学建构 ,转向对价值哲学理论的研究。换言之 ,在此之后价值哲学研究结束了形而上学阶段 ,而进入了认识论阶段。在认识论阶段 ,评价问题成为最为重要的研究课题。在对评价问题的研究中 ,乌尔班开创了一种以心理学为基础的经验论研究理路。我国近 2 0年的价值哲学的研究范式与乌尔班开始的美国价值哲学的研究范式十分相似。     

Culture, Cosmopolitanism, and Risk Management

Most cultural approaches to risk management deal with the connections between the forms of social relations within groups and the risk concerns of those groups. According to these theories, a certain limited set of different relational forms (usually three, four, or five) lead to specific, different and conflicting, risk concerns. In contrast to these theories, cosmopolitanism is an approach to culture that focuses, not on forms of sociality, but on changes among forms—expansions and contractions in the inclusivity of forms and movement by persons from one form of sociality to another. Relative to other cultural theories, cosmopolitanism thus is much more concerned with the solution of risk management problems than with their origins. Cosmopolitanism can be thought of as a cultural continuum, with cosmopolitanism at one end and pluralism at the other. Cosmopolitan persons are more open to cultural change—and thus the solution of risk management problems. In this article, we outline our new theory of cosmopolitanism, describe a method for measuring it and present an experimental study that tests some implications of the theory. Results from the study support the theory by showing that, compared to pluralistic respondents, cosmopolitan respondents are more inclusive in their risk management judgments—that is, they express equal concern for a local and a national issue, whereas the pluralistic respondents express greater concern in the local case. We discuss the risk management implications of a cosmopolitan approach to culture.     

Perception of Ecological Risk to Water Environments

This paper examines lay and expert perceptions of the ecological risks associated with a range of human activities that could adversely affect water resource environments. It employs the psychometric paradigm pioneered in characterizing perceptions of human health risks, which involves surveys to obtain judgments from subjects about risk items in terms of several important characteristics of the risks. The paper builds on a previous study that introduced ecological risk perception. This second study employs a larger, more diverse sample, a more focused topic area, and comparisons between lay and expert judgments. The results confirm that a small set of underlying factors explain a great deal of variability in lay judgments about ecological risks. These have been termed Ecological Impact, Human Benefits, Controllability , and Knowledge. The results are useful in explaining subjects' judgments of the general riskiness of, and need for regulation of, various risk items. The results also indicate several differences and areas of agreement among the lay and expert samples that point to potential key issues in future ecological risk management efforts for water resources.     

基于模糊判断矩阵信息确定专家权重的方法

本文对群组模糊判断矩阵集结过程中确定专家权重的问题进行了研究,建立了模糊判断矩阵的特征矩阵和求解群集结矩阵的最优化模型,通过矩阵之间距离度量判断信息自身逻辑一致性程度和群体相容性程度,给出一种基于专家判断信息的可信度计算其后验权重的方法,最后用算例予以说明.     

区间数互补判断矩阵的一致性及其排序研究

由于目前国内外文献对区间数互补判断矩阵的性质研究较少,从而使得对排序方法的相关研究缺乏理论依据.针对这些缺陷,本文研究了区间数互补判断矩阵的性质及其排序方法问题.根据区间数互补判断矩阵的定义,给出了区间数互补判断矩阵的一致性、严格强传递性与弱传递性等定义,并研究了一致性判断矩阵的性质,并说明这些性质更符合人们的思维特征.在一致性性质的基础上建立了区间数互补判断矩阵排序的非线性规划模型,算例分析表明该方法是有效可行的.     

基于方差分析的资本结构决策模型

本文利用统计学原理与风险决策分析方法,提出了资本结构决策新的方差分析方法和矩阵模型.与原有的基于概率分析的方法比较,本文建立的模型方法克服和舍弃了模糊性和难操作性,有效地权衡了风险与收益,使资本结构决策模型更富可操作性和广泛适用性,能够为企业最优资本结构决策提供一定的决策依据.     

语言多属性决策的目标规划模型

研究了只有部分属性权重信息、属性值以语言变量或不确定语言变量形式给出且决策者对方案有偏好信息的语言多属性决策问题.给出了语言变量和不确定语言变量的运算法则,以及不确定语言变量之间比较的可能度公式,定义了语言变量的偏离度概念.在属性值以1)语言变量和2)不确定语言变量,这两种形式给出的情形下,分别建立了一个基于偏离度的目标规划模型,并通过求解这两种模型分别获得相应的属性权重.然后对于情形1),利用语言加权平均(LWA)算子,对语言决策信息进行加权集成,继而对方案进行排序和择优;对于情形2),利用不确定语言加权平均(ULWA)算子,对不确定语言决策信息进行加权集成,并利用可能度公式构造可能度矩阵(互补判断矩阵),继而利用互补判断矩阵排序公式对决策方案进行排序和择优.最后进行了实例分析.     

一种基于区间数判断矩阵的群决策新方法

针对基于区间数判断矩阵的群决策问题,提出了一种群决策新方法.借助于集值统计原理,构造了与区间数判断矩阵群信息等价的具有一定可靠度的确定数判断矩阵,建立了计算这类群信息集结值可靠度的模型,运用和积法对所得新判断矩阵进行处理,得到了一种简便的方案排序方法.最后,通过一个算例验证了该方法的有效性和实用性.