模糊系统风险测量的数学方法

在模糊集上定义了模糊风险落影、模糊贝叶斯风险等概念 ,探讨了相关的定理与性质 ,研究了几种模糊风险决策的测量方法 ,给出了比较几类风险落影函数的“风险势”的概念 .     

模糊环境下的最优装载问题

将动态规划中的一维背包问题推广到了n维,并利用模糊数为工具,在模糊环境下给出了n维背包问题的最优解,最后通过实例说明该方法的简便、有效和实用性.     

Covariant fuzzy observables and coarse-graining

A fuzzy observable is regarded as a smearing of a sharp observable, and the structure of covariant fuzzy observables is studied. It is shown that the covariant coarse-grainings of sharp observables are exactly the covariant fuzzy observables. A necessary and sufficient condition for a covariant fuzzy observable to be informationally equivalent to the corresponding sharp observable is given.     

随机激励下柔性智能梁结构振动的模糊自适应控制

对柔性智能梁结构提出了一种具有结构和参数学习能力的模糊神经网络控制方法,该法摒弃了常规的以BP算法来优化整个网络参数的作法,利用遗传算法对网络全局性参数进行离线优化,利用BP学习算法对网络局部性参数进行在线调节。以柔性智能悬臂梁为例,实现了对其在随机激励下的振动控制。仿真结果表明,模糊神经网络控制算法对智能结构的振动控制具有一定的鲁棒性和自适应性。     

Weakly I-continuous functions

Summary Weakly I -continuous functions were introduced and studied by A?ikg?z, Noiri and Yüksel [1]. We further extend their study, generalize some of their results and discuss its properties.     

Theory of valuations on manifolds, II

This article is the second part in the series of articles where we are developing theory of valuations on manifolds. Roughly speaking valuations could be thought as finitely additive measures on a class of nice subsets of a manifold which satisfy some additional assumptions.The goal of this article is to introduce a notion of a smooth valuation on an arbitrary smooth manifold and establish some of the basic properties of it.     

Reverse mathematics of separably closed sets

This paper contains a corrected proof that the statement “every non-empty closed subset of a compact complete separable metric space is separably closed” implies the arithmetical comprehension axiom of reverse mathematics.     

大学毕业生综合素质的模糊综合评价

为了建立一套对大学毕业生综合素质进行科学、合理检测的评价体系，本文首先建立了一套反映大学毕业生综合素质的定性与定量相结合的二级指标体系，然后采用专家打分和层次分析法确定了各级指标的权重，再通过对具体同学所对应的各级素质指标进行评价和采用模糊算法计算得到了该同学的综合素质分。该评价体系简单方便，有助于用人单位选拔到合适的人才。     

一种基于模糊语言评估的多属性决策方法

给出一种属性权重确知、属性值以模糊语言形式给出的多属性决策方法。实例分析的结果表明：该方法简单、易行。     

Some Problems of Local Hitting, Scaling, and Conditioning

The aim of this paper is to convey the basic ideas regarding some local hitting and conditioning properties of random measures. Some very general results are obtainable in the special case of simple point processes. Though much of this theory has no counterpart for general random measures, similar results do exist in two cases of special interest—for local time random measures and for Dawson–Watanabe superprocesses. This is an informal account of some of the basic hitting and conditioning properties common to all three cases. Precise statements and proofs will be provided elsewhere.