加权函数

Based on these operational laws, some aggregation operators, including pure interval-valued intuitionistic fuzzy weighted arithmetric averaging operator and pure interval-valued intuitionistic fuzzy ordered weighted averaging operator, are proposed.

论文摘要：对纯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：纯区间直觉模糊数加权算术平均算子和纯区间直觉模糊数有序加权平均算子。

This problem involved many objective functions which had contradictions mutually and could not reconciled. According to different engineering requirements, the weighted and harmonic coefficient of each objective function was decided, and then it was changed to a single-objective optimization function. Engineering requirements on the system and related restrictions were given with the form of binding functions.

考虑问题所牵涉到的多个互相矛盾不可公度的目标函数，根据不同的工程要求，结合实践经验和计算经验确定各个目标函数的加权协调系数，然后将其表示为一个单目标优化函数；工程条件对系统的要求和相关限制，以约束函数的形式给出。

Because the weights are determined by the correlation of code sequence and estimation error of channels, which can be nearly determined by system load factor, we determine the sub-optimum weights by system load factor through simulations, and substitute the hard-decision symbol function by soft-decision hyperbolic tangent function to decrease the risk of error decision.

由于加权因子取决于前级符号估计的可靠性。也就是取决于扩频码互相关系数与信道估计精度，在随机扩频系统中，估计精度可近似由系统负荷决定，因此可根据系统负荷决定加权因子，以很小的性能降低代价换取计算量的极大降低。同时，为进一步降低误判风险，使用带有斜率控制因子的双曲正切函数代替常规的符号函数。

This invented simplified algorithm is to use sectional linear judgement method or looking-up table method to replace the hyperbolic tangent judgement. The substance is to use sectional linear judgement function L or judgement function T of looking-up table to approach the hyperbolic tangent function tanb.

为了解决这个问题，本发明的双层加权并行干扰对消算法的简化算法用分段线性判决方法或者查表法来代替双曲正切判决，其实质就是用分段线性判决函数L或者查表法的判决函数T逼近双曲正切函数tanh。

Then, on the basis of Atluri's work, a modified MLPG method is employed, in which the moving least squares approximation is used as a trial function and the Heaviside function is used as a test function of the weighted residual method.

然后基于Atluri等人的工作，采用移动最小二乘近似函数构造试函数，采用Heaviside函数作为加权残值法中的权函数，采用直接插值法施加本质边界条件而不采用罚函数法和拉格朗日乘子法。

More than 30 kinds of meshfree methods are reviewed in this paper in the light of weighted residual method, and different meshfree methods can be viewed as different forms of weighted residual method and/or with different approximation functions. Various kinds of meshfree approximate schemes are presented in detail, including moving least square approximation, kernel and reproducing kernel approximation, partition of unity approximation, radial basis approximation, radial point interpolation and natural neighbor interpolation.

详尽介绍了各种无网格近似方案(包括移动最小二乘近似、核近似和重构核近似、单位分解近似、径向基函数近似、点插值近似、自然邻接点插值近似等)和无网格法中常用的各类加权余量法(伽辽金格式、配点格式、局部弱形式、加权最小二乘格式和边界积分格式等)，并讨论了数值积分方法和边界条件的处理等问题。

Embedding the gradient direction search and new kinds of evaluation functions into the Genetic Algorithm, a special hybrid Genetic Algorithm with mutation along the weighted gradient direction to solve non-linear programming problems is developed. Then in Chapt 4, a type of nonlinear programming problems with fuzzy objective and fuzzy resources constraints is discussed, in which the objective is ill-defined and the resources possess two different types of fuzzy resources, i. e., tolerance and imprecision. By way of description and formulation of fuzzy objective and fuzzy resources, the problem with fuzzy objective and two different types of fuzzy resources is modelled into a fuzzy nonlinear programming model FO/RNLP and interpreted as three equivalent alternative crisp model to reflect the variety of the environment and the subjective and preference of the decision maker .

本文首先针对遗传算法在求解非线性规划问题中存在的问题，首次提出非可行点／染色体的主导准可行方向，准可行方向，及非可行点属于可行域的可行度等新概念，借助于模糊思想，提出了描述和度量非可行染色体的新方法；通过嵌入非可行染色体的信息于评价函数中，提出了三种新的评价非可行染色体的评价函数；把传统的启发式方法-梯度方向搜索和新的评价函数嵌入到遗传算法中，提出了一种沿加权梯度方向变异的新型混合式遗传算法；第四章针对生产实际中非清晰定义的模糊目标和两种类型的模糊资源，建立了一类连续型模糊目标／资源约束非线性规划问题的模型FO／RNLP。

Average annual precipitation data of the last 30 years from 1961 to 1990 at 186 meteorological stations in Gansu and its nearby regions was compared and analyzed by Inverse distance weight tension, Spline, Ordinary Kiging methods. The result showed that the three interpolators could reflect the spatial distribution of precipitation of Gansu province. Ordinary Kriging method was the most effective, followed by Spline methods and Inverse distance weight tension method.

利用甘肃及其周边186个气象台站30年平均降水资料，分别采用了反距离加权法(In-verse distance weight tension)、样条函数法和普通克里格法等3种常见的空间内插方法较为系统的分析比较了这3种内插方法插值结果，结果表明：3种方法的结果都基本上反映了甘肃降水大体空间分布规律，而普通克里格法的插值效果最好，样条函数法次之，反距离加权法较差。

For the global priority and infinitely splittable cases,we show that starting from an empty configuration,the solution after any one round of best responses is of a constant-factor approximation.

本文分为以下三个方面：首先，我们考虑线性拥塞博弈，对总体加权延迟函数、用户延迟和函数、资源延迟和函数等三种系统目标函数，分别给出了稳定率的上界。

Radial basis function coupled with a polynomial basis function was used as a trail function, and a Heaviside function was used as a test function of the weighted residual method.

这种无网格方法采用径向基函数耦合多项式基函数来近似试函数，采用Heaviside函数作为加权残值法中的权函数。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。