An application of Furuta inequality and its best possibility

This paper shows the best possibility for outer exponents of some inequalities under some conditions, and a counter example is obtained.     

“非平均区间数”计算及其在政府决策信息系统中的应用

本文在已有的“区间数”定义及排序算法的基础上 ,针对层次分析法提出了更加灵活 ,准确的描述主观评判的“非平均区间数”概念及其排序算法 .并结合政府决策信息系统阐述了“非平均区间数”的应用     

基于偏差的不确定型多属性决策的综合集成方法

对不确定型条件下的多属性决策问题,规范化后的区间数能消除属性值之间量纲的差异,建立了相离度偏差、中间值偏差和理想方案偏差计算公式,构建了以总偏差平方和为目标函数的综合集成优化模型,求解出各属性的客观权重,提出了一种客观属性权重的可能度法,为不确定型多属性决策提供了一种简单实用的可靠方法.最后通过一个算例说明了该方法的实用性和有效性.     

Characteristics and structures of weak efficient surfaces of production possibility sets

This paper studies the characteristics and structure of the weak surface of the production possibility set. We apply techniques and methods of transferring a polyhedral cone from its intersection form to its sum form, identify an intersection representation of the production possibility set. We give the structure theorem of weak surface of the production possibility set, which includes three complementary slackness conditions. We define the input weak efficiency and output weak efficiency for different DEA models according to the representation of the intersection form. It investigates the characteristics of the weak surfaces, and proves the structure theorems of input weak DEA efficiency and output weak DEA efficiency. The structure theorems establish weighted combination of inputs and outputs that are weak DEA efficient. Numerical examples are provided for illustration.     

区间数可能度的二维定义

利用二维空间的面积,提出了一个新的区间数可能度的定义,并给出了简单实用的计算公式和证明了相关的性质,最后,通过实例说明了该定义的实用性.     

On the Evaluation of Uncertain Courses of Action

We consider the problem of decision making under uncertainty. The fuzzy measure is introduced as a general way of representing available information about the uncertainty. It is noted that generally in uncertain environments the problem of comparing alternative courses of action is difficult because of the multiplicity of possible outcomes for any action. One approach is to convert this multiplicity of possible of outcomes associated with an alternative into a single value using a valuation function. We describe various ways of providing a valuation function when the uncertainty is represented using a fuzzy measure. We then specialize these valuation functions to the cases of probabilistic and possibilistic uncertainty.     

气体自由膨胀的演示、模拟和熵增加原理

本文通过气体自由膨胀的演示、模拟，推知一切自然过程总是沿着无序性增大，即熵增大的方向进行，解释了热力学第二定律的微观意义。     

Fuzzy probability vectors

Several recent papers have discussed an extension of decision analysis: both the rewards and probabilities are modelled using fuzzy sets. However, arbitrary specification of the membership functions of the fuzzy probabilities in these models may lead to internal inconsistencies. To avoid this, the fuzzy beta possibility distribution is introduced.     

规模收益状况的动态因素分析

基于DEA理论的"交形式"生产可能集,从投入增大和缩小两种角度,对多投入多产出生产系统的各种规模收益状态进行分析,研究部分投入要素变化对部分产出要素的作用效果,即对规模收益状况给予"动态"因素分析,得到判定部分投入与部分产出之间规模收益各种状态的充要条件,从而为研究规模收益各状态的产生原因提供理论依据.