数区间

Considering the information distribution on the decision makers′ preference,the problem of density weighted averaging middle operator in uncertain multiple attribute decision making is investigated to find out the procedure to determine the weight vector of interval number density operator by extending the middle operator of density of real numbers to that of interval numbers.

针对群决策中的决策者群体偏好信息分布问题，研究了不确定多属性决策密度中间算子，把实数密度中间算子扩展到区间数密度中间算子。

This method computes the frequency numbers and point scores through the naive Bayes formula, then the dataset can be analyzed and classified visually by the constructed PSPC.

该方法利用简单贝叶斯公式计算各属性值或属性值区间的频数和点得分，最后根据构建的点得分平行坐标即可进行数据集的可视化分析和未知样本的分类。

Therefore, a new hypergeometric distribution method is proposed for testability estimation and demonstration. Based on hypergeometric distribution, the maximum likelihood estimate method is applied in point estimation, and the Bayes formula is applied for interval estimation, hence a testability demonstration rule is provided.

基于故障检测成功数的超几何分布，利用极大似然法思想研究了RR(上标 FIC指标的点估计方法，利用贝叶斯公式研究了区间估计方法，并给出了测试性验证规则。

Besides, questionnaires are analyzed by arithmetic mean, five class interval, t-test, and one-way analysis of variance.

问卷资料并透过算术平均数、五等第区间判定、t检定、单因子变异数分析等统计方法进行分析。

Theorem 1 Let be continuous on the closed interval and let be a point in.

如果函数在区间上连续，则积分上限函数=在上可导，并且它的导数是

Using the equivalent condition under which the limit of a sequence of fuzzy numbers exists in the sense of level convergence, we analyze the structure of the level continuous fuzzy number valued function. On the basis of it, we prove the level continuous fuzzy number valued function on a closed interval exists supremum and infimum and give the precise representation.

利用模糊数序列水平收敛意义下极限存在的充要条件，在分析了水平连续函数结构特点的基础上，证明了闭区间上水平连续的模糊数值函数存在上、下确界，并给出了上、下确界的具体表达式。

Multi-attribute decision-making with risk ; joint density function ; fuzzy complementary judgment matrix ; interval number

风险型多属性决策；联合密度函数；模糊互补判断矩阵；区间数

We show that the whole space IF~*(R, d_∞~* is complete metric space, and when K is a nonempty compact subset of R, the metric space IF~*(K,d~* and IF~*(K,d_p~* are complete.

我们证明了当K是R上的非空紧子集时，紧支撑包含在K中的所有区间值模糊数所成之集TG~*

The paper aims at the difficulty of preference representation, according to the concept of preference number and structure and compound rule, builds the model for aggregating group preference, and denotes preference structure with model of neural network, then gives out a methodology that preference is denoted by interval number, builds the model based on neural network and group preference, so preference representation is nonlinear, self-adapting, relearning.

针对决策偏好表示和集结的难点，在给出偏好由数量描述和结构描述的概念基础上，根据群体决策复合准则，建立了群体决策偏好集结的模型，并将神经网络模型用于表示决策者的偏好结构。提出用区间数表示决策者偏好的方法，建立群体偏好表示的神经网络模型，使得偏好的表示具有非线性，自适应及可学习的特点。

High peak period mean difference of the four experimental groups were statistically analysed by confidence limit test.

四个实验组高峰值比较应用多个样本均数差值的可信区间检验进行统计处理。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。