数区间

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we inducted the absolute value norm in the two-dimensional vector interspace, and also proved the two-dimensional vector interspace is a Banach Interspace. Thirdly, we define two-dimensional vector-valued functions on a interval by the definition of -fine partitions in part 1. Then, some sufficient and necessary conditions of integrabel are given, and discuss the property of the integral on two-dimensional vector-valued functions.

主要包括以下内容：在第一部分，我们介绍了本文所用到的几个基本概念和引理；第二部分，我们在二维向量空间中引入了绝对值范数，并且证明了二维向量空间是一个Banach空间；在第三部分中，通过第一部分关于-精细分划的定义，我们给出了在某区间上二维向量值函数积分的定义以及可积的充分必要条件，并讨论了二维向量值函数积分的一些性质。

First, the uncertain ordered weighted averaging is used to aggregate the decision-maker's different preference information into the interval number comparison matrix. Then, the group's overall satisfaction membership function is defined based on the decision-making's allowable error. The maximal group consistency weight model is established.

采用UOWA算子将决策者的偏好信息集结为区间数互反判断矩阵和互补判断矩阵两种形式，结合决策者给出的允许偏差，定义群满意度隶属函数，建立求解群偏好一致程度最大化的权重模型。

Using analytic continuation in the coupling constant method within the framework of the self-consistent relativistic mean filed theory, we study the energies and the widths of the resonant states in ~(16)O nuclei, and the influences of the coupling constant interval and the Pade approximant order are analyzed.

考察了~(16)O的中子共振态能级，并且详细研究了耦合常数右端点对应能量的变化和Padé多项式的阶数对能量和宽度的影响。结果表明：适当选取耦合常数取值区间可以得到既收敛又稳定的结果。

The approximation theorem of the rough neural network is proved. Then the method is applied to the fault verification of fighter plane, the simulation results show that the rough neural network is efficient.

最后将此方法应用于歼击机的故障认定系统，仿真结果表示，此粗糙神经网络可以很好地对具有区间数的歼击机故障认定系统进行故障认定。

Based on the theoretical calculation model for the structural information of metal melt, the main structural information, including relative concentration of active atoms, average diameter of the atomic clusters and the number of short-range atoms inside them, was achieved. Finally, by multiple non-linear fitting of experimental data, the function about viscosity and size of atomic clusters was established.

利用金属熔体结构信息的理论计算模型，得到该温度区间内铝熔体的主要结构信息，包括激活原子的相对浓度、原子集团的平均直径及其内部包含近程原子数等，最终通过实验数据的多次非线性拟合发现黏度与原子集团的尺寸之间存在函数关系。

Multiple Attribute Decision Making ; Interval ; Entropy ; Attribute Weight ; Error Propagation

多属性决策；区间数；熵；属性权重；误差传递

This paper extends the ordered weighted averaging operator of Yager to accommodate uncertain conditions where all input arguments take the forms of interval numbers.

把Yager提出的有序加权平均算子推广到所给定的数据信息均为区间数形式的不确定环境之中。

The results showed that there were three minimum values in the second derivative spectrums of normal person, in contrast there were four minimum values in most diabetic second derivative spectrums, the diabetic urine had one minimum value more than normal urine during the range from 550 nm to 570 nm.

发现健康人的二阶导数光谱都有三个极小值，与之形成对比的是绝大多数糖尿病患者的二阶导数光谱却有四个极小值，糖尿病患者的尿样在550 nm～570 nm区间范围内比健康人多出一个极小值。

The statistical difference of proinsulin rather than HOMA index was found among the patients of various Gensini's score group (Gensini's score was examined as a categorical variable classified by tertile values) and significantly stenosed vessels group by means of the results of analysis of covariate variance after adjusting for age, sex and body mass index (p＜0.05), and the partial correlation coefficient between proinsulin level and Gensini's score, the number of significantly stenosed vessels after adjusting for age, sex and body mass index was 0.3156 (P＜0.01) and 0.2752 (P＜0.05) respectively. Multivariate linear regression analysis indicated that the level of proinsulin was positively correlated with the Gensini's score (P＜0.01). The results of multivariate stepwise Logistic indicated that the proinsulin was the independent risk factor for the coronary heart disease, and the odds ratio (95％ confidence interval) was 2.268 (1.253～4.105)(P=0.007), however, the HOMA was refused by the final model.

年龄、性别与体重指数为控制变量的协方差分析结果显示，胰岛素原的水平在不同的Gensini评分组、冠状动脉病变血管数分组中分布有统计学差异(P＜0.05)，偏相关分析示胰岛素原的含量与Gensini评分与病变血管数显著正相关，其偏相关系数分别为0.3156(P＜0.01)与0.2752(P＜0.05)，而HOMA指数与两种评分的相关未有统计学意义；多因素线性逐步回归分析结果示胰岛素原水平与Gensini评分独立正相关(P＜0.01)；多因素Logistic回归分析显示，胰岛素原的水平为冠心病的独立的危险因素，其OR值及其95％可信区间为2.268(1.253～4.105)(P＜0.01)，HOMA指数未进入模型。

These QTLs, particularly qNFGP-3-2 and qTNSP-3 with stronger additive effects and higher contribution rates would be further studied for fine-scale mapping and/or cloning. Some intervals with QTL cluster were determined in QTL mapping and most of the QTLs tended to have pleiotropism.

这些QTL，尤其是第3染色体RM168-RM143区间控制每穗总粒数的qTNSP-3和控制每穗实粒数的qNFGP-3-2，其加性效应值和贡献率均较大，可以考虑下一步进行QTL精细定位和克隆。

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。