定义区间

将定义区间做等分，选取小区间的左（右）端点，可以将特殊的和式极限转化成积分和的极限。

If the defined interval is ported and the left or right end of interval is selected , the special sum limit can be transform into the limit of the sum of integrals .

首先定义区间判断矩阵，然后在研究区间向量规范化的基础上，通过建立目标规划（GP）模型，求解区间判断矩阵的区间权重向量。

Firstly the interval judgment matrix is defined . Then , on the basis of the study on the standard interval vectors , a goal programming model is built to induce interval weight vector from an interval judgment matrix .

利用发展系统的特征和Leray-Schauder选择定理，给出了解在定义区间上全局存在的充分条件，并建立了解对初值的连续依赖性。

By utilizing the properties of evolution systems , some sufficient conditions under which a mild solution exists globally in any given interval are established , via Leray-Schauder Alternative approach . The continuous dependence of solutions on initial functions is also ob - tained using Banach contraction mapping theorem .

一切初等函数在其定义区间内都是连续的。

Every elementary function is continuous on its well-defined intervals .

C-曲线定义区间的扩展

Extension of Definition Interval for C-Curves

实证过程中，本文通过变换危机定义区间、边际期望损失指标及预测样本对预测效果进行稳健性检验。

The robustness of the prediction is empirically checked by varying the crisis definition , the indicators of marginal expected loss and the prediction sample .

定义区间值模糊粗糙集的上下近似，并且利用区间值模糊集的截集定义了区间值模糊粗糙度量。

In this paper upper and lower approximation of interval-valued fuzzy set are defined . Furthermore , a parameterize roughness measure of an interval-valued fuzzy set is given .

故考虑将定义区间分段，从而降低振荡性，即采用区间分段法，在每一个小区间上应用拟光滑化方法和修正拟光滑化方法求解，再将每个区间上的数值解联合起来分析。

Therefore , piecewise interval method is proposed to solve the problem which is oscillation intense . That is combine the solutions on each interval computing on smoothing method and modified quasi-smoothing method .

而对最小化问题，也可定义区间数之间的另一序关系，同样可把原问题转化为一个多目标问题，通过求此多目标问题得到原问题的解。

Similarly , the minimization problem is also transformed into a multiobjective problem by using the other order relations , so by doing the multiobjective problem a solution of the primitive problem can be obtained .

为此我们在系数函数的间断处将问题的定义区间分成两部分，并在各部分定义独立的基函数，最后用一个全局的基函数将两部分联系起来。

We split the domain into two parts at the discontinuity of the coefficient function , define basic functions in each part independently , and define a special basic function to connect these two parts at last .

因该算法通过专家给出评分区间长度反映出专家对各评审指标的熟悉度，为此定义区间的加法、减法、数乘运算及区间值的概念，这样可解决区间无法直接排序的问题。

The algorithm gives the length of the marking interval , which reflects the experts ' familiarity degree to marking targets . We define addition , subtraction , multiplication and the concept of interval value to solve the problem that the interval cannot perform the taxis directly .

定义了区间数据的距离和四则运算，并推广模糊c均值算法对区间数据进行聚类。

Then , parallel fuzzy c - means algorithm is discussed for clustering interval data .

定义了区间数据包络分析（DEA）模型。

An interval data envelopment analysis ( DEA ) model was first defined .

定义了区间值函数的RS积分，并利用它来定义模糊值函数的RS积分，给出了这种积分的一些性质。

RS integral of interval valued functions and Fuzzy valued functions are defined . Some properties of this kind of integral are obtained .

本文在[1]的基础上，定义了区间值函数与Fuzzy值函数的积分，给出有关积分收敛的一些结果。

Since the definition of fuzzy measure and integral was given in [ 1 ] , This paper gives definitions of fuzzy integral of interval-value and fuzzy-value function , It gives some convergence conclusions about fuzzy integral of interval-value function and fuzzy-value function .

用不动点的方法给出一类定义在区间（a，b）上，值域取在完备的Hausdorff的局部半凸空间中的矢量值积分方程的解。

N this paper , solutions of vector-valued integral equations of a class on an interval ( a , b ) to a complete Hausdorff locally semi & convex space are presented by the fixed point method .

定义了区间灰色模糊判断矩阵，并用区间灰色模糊判断矩阵表示偏好信息。

And preference information is represented by grey fuzzy judgement matrix .

定义了区间线性规划的标准型。

A standard form of interval linear programming was defined .

定义了区间上似凸函数的概念。

Define the concept of similarly convex function on interval .

最后定义了区间直觉模糊合成运算，研究了它们合成运算的基本性质。

Finally , the notes of interval-valued intuitionistic fuzzy compositional operations were defined and their fundamental proper .

定义了区间型理想点以及决策方案在区间型理想点上的投影等概念。

The concepts of interval ideal point and projection of each alternative on the interval ideal point , etc.

并定义了区间熵的概念，提出计算方案区间熵的公式。

It defines the concept of interval entropy and gives the formula to calculate the entropy valves of alternatives .

满足欧几里得公理和定义的区间；一种线性且有限维的区间。

A space in which Euclid 's axioms and definitions apply ; a metric space that is linear and finite-dimensional .

定义了区间I上的均匀可导函数，给出了区间I上函数均匀可导的两个充要条件。

The uniformly derivable function on the interval I is defined , and two sufficient and necessary conditions of uniformly derivable function are given .

定义了区间直觉判断矩阵及其得分矩阵和精确矩阵等新概念，详细研究了它们的性质；

Interval-valued intuitionistic judgment matrix and its score matrix and accuracy matrix are defined . Some of their desirable properties are investigated in detail .

本文给出了区间型灰线性方程组的新定义和区间型灰线性方程组的算法，并把区间型灰线性方程组应用于一个简化的经济模型中，取得令人满意的结果。

A new definition of interval grey linear equation group and its algorithm is put forward with a satisfying outcome after applying it in an economic model .

定义了区间值随机过程的可测性，证明了在随机连续的条件下，区间值随机过程具有可测性。

The measurability of interval value stochastic processes is defined and it is proved that if interval value stochastic processes is continuity , it has measurability . 4 .

定义了区间直觉模糊数的一些运算法则，并基于这些运算法则，给出区间直觉模糊数的加权算术和加权几何集成算子。

Based on these operational laws , some aggregation operators , including interval-valued intuitionistic fuzzy weighted arithmetic aggregation operator and interval-valued intuitionistic fuzzy weighted geometric aggregation operator , are proposed .

首先定义了区间数正理想方案，由此计算出各方案相对于正理想方案的区间数灰色关联系数。

Firstly , the definition of positive ideal solution of multiple attribute decision-making problem with interval numbers is given , and by which the grey relational coefficient of alternatives from the positive ideal solution is drived .

本文定义了区间型理想点以及区间数之间的距离，对权重被明确给出、其他属性值为区间数的多属性决策问题提出了一种新的求解方法。

This paper defines the interval ideal point and distance between interval numbers . A new method is proposed for interval multi-attribute decision making problems , in which weight is given positively but other attribute values are interval numbers .