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Some operational laws of interval-valued intuitionistic fuzzy numbers, score function and accuracy function of interval-valued intuitionistic fuzzy numbers are intriduced. Based on these operational laws, some aggregation operators, including interval-valued intuitionistic fuzzy ordered weighted arithmetic averaging operator and interval-valued intuitionistic fuzzy hybrid aggregation operator, are proposed.

论文摘要:对区间直觉模糊信息的集结算子进行了进一步研究,引入了区间直觉模糊数的一些运算法则、区间直觉模糊数的得分函数和精确函数,并基于这些运算法则,提出了一些新算子:区间直觉模糊数有序加权算术平均算子和区间直觉模糊数混合集结算子。

When bilateral ureters were completely obstructed and severe azotemia occurred, the prognosis may be better and the renal function can be recovered if the obstruction is removed within 48 hours. If the obstruction will be removed in more than 72 hours, the renal function and the prognosis is worse.

当输尿管完全梗阻并出现重度氮质血症后在实施梗阻后的第二个24h内解除梗阻,可有效恢复肾功能,预后较好;若≥72h解除梗阻,则肾功能无法恢复,预后较差。

when bilateral ureters were completely obstructed and severe azotemia occurred, the prognosis may be better and the renal function can be recovered if the obstruction is removed within 48 hours. if the obstruction will be removed in more than 72 hours, the renal function can not be recovered and the prognosis is worse.

当输尿管完全梗阻并出现重度氮质血症后在实施梗阻后的第二个24h内解除梗阻,可有效恢复肾功能,预后较好;若≥72h解除梗阻,则肾功能无法恢复,预后较差。

We prove the fuzzy set-valued characteristicfunction of a compact Baire fuzzy set can be approached by fuzzy set-valuedcontinuous functions with fuzzy compact support sets,the integral of integrablesimple Baire fuzzy set-valued function can be approached not only by the integralsof integral simple fuzzy set-valued functions,but also by the integrals of fuzzy set-valued continuous function with fuzzy compact support sets.

定义了诱导空间上具有模糊紧支集的模糊集值连续函数,说明了它与分明的具有紧支集的连续函数的关系,证明了紧贝尔模糊集的模糊集值特征函数可以用具有模糊紧支集的连续函数列来逼近,可积简单贝尔模糊集值函数的积分可以用可积简单模糊集值函数的积分来逼近,还可以用具有模糊紧支集的模糊集值连续函数的积分来逼近。

According to the model, the deflection and main pre-brace parameters are illustrated with the Jinsong station of the tenth line in Beijing. It demonstrates that the curve shape of theoretical result, computing result and the on-set measure result are uniform in the main and the change law is similar; that the circumferential space of pipe-roof has a optimum value while satisfying the pre-brace function; that the relation between diameter of steel pipe and flexibility of barrel vault meets negative exponential function. And the diameter of steel pipe has a optimum value.

依据该模型,以北京地铁10号线劲松车站管棚支护为例,着重对管棚的挠度和主要支护参数进行的分析表明:理论结果与计算结果和现场量测结果的曲线形状基本相同,变化规律相似;在满足预支护作用的同时,存在相对较优的管棚环向间距;钢管直径与管棚挠度之间符合负指数函数关系,管径存在最佳值。

This paper,using the method of differential equation,proves some characters properties of basic elementary function ,and then concludes an equivalent representation about basic elementary function .

运用微积分的方法,对基本初等函数的若干特征性质进行了证明,从而给出了基本初等函数的等价表征。

In this paper, the formula of Expect Bayes estimation of the reliability under entropy loss function and square loss function for geometric distribution have been given, when the prior distribution of the reliability is power distribution.

本文在几何分布的先验分布为幂分布时研究了其在熵损失函数下,可靠度的多层Bayes估计及其容许性,给出了可靠度的多层Bayes估计的计算公式。

The example are also given to show that the two Expect Bayes estimation formula are both steady and the precision of Expect Bayes estimation of the reliability for geometric distribution under the entropy loss function is higher than that of the square loss function.

通过实例验证,在熵损失函数下计算出的几何分布可靠度的多层Bayes估计是稳健的,并进一步表明在熵损失函数下计算出的几何分布可靠度的多层Bayes估计值比其在平方损失函数下算出的结果精度更高。

Finishing calculation of mean value, standard deviation, skewness, kurtosis of Beta distribution.(2) Fitting parameters of many kinds of typical distribution and using residual deviation to evaluate fitting precision.(3) Using Beta distribution as an agreed indication distribution applied to many kinds of practical photoelectric measurement distributions.(4) Deriving theory formula of Bayes point estimation about Beta distribution parameters and mean value and standard deviation on the condition of mean square error loss function and supposed the prior distribution is uniform distribution.(5) Generating MCMC sample from post distribution by the method of Gibbs sample algorithm. Calculating bayes point estimation from sample on the condition of mean square error loss function. Calculating confidence interval by an approximate method to complete interval estimation.

本文的主要工作有:(1)解决了Beta分布参数a和b的精确计算以及均值、标准差、偏度、峰度的计算问题;(2)拟合出10余种典型分布的Beta分布的两个参数,并且采用剩余标准差评价该Beta分布的拟合精度;(3)对多种典型的光学与光电测量系统的测量分布进行了Beta分布统示表示;(4)在假设先验分布为均匀分布前提下,得到参数a和b以及均值μ和标准差σ在均方误差损失函数下的贝叶斯点估计理论计算公式;(5)利用直接抽样的Gibbs抽样算法,从后验分布中产生MCMC样本,从样本直接计算均方误差损失函数下的贝叶斯点估计,并使用一种近似方法计算其置信区间,完成区间估计。

An unconscious mental function would be analogous to an involuntary physical function such as a heartbeat.

潜意识功能和心跳类似,不是我们决定的。

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