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 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。
After that , the minimax optimization is applied into the uncertain system analysis . through minimax algorithm the regret index could be calculated , then the interval programming is translated into equivalent multiobjective programming 比如，在不确定系统中，通过minimax算法进行后悔度计算，并把区间数优化问题转化为等价的多目标优化问题以求解。
Then , based on defining opposite deviation between each element of each s interval numbers decision matrix and corresponding elements of expert ' s interval numbers decision matrix , an analytic method to each s assessment level is given 通过定义专家给出的决策矩阵中各个元素与综合评价矩阵中对应元素之间的相对偏差，给出了基于区间数决策矩阵形式偏好信息的专家评判水平的分析方法。
Taking in the thought of the probability distribution of interval numbers , the thesis apply the method of entropy on comprehensive appraisal to the technological innovation project , thus up to the evaluation becoming more sufficient and scidntific 摘要本文针对目前现状的调查，引入考虑区间数概率分布的思想，综合熵权对技术创新项目进行综合评价，从而达到了更加充分、科学的利用评价信息的目的。
Based on the additive weighting model and the expectation and square difference method for priorities , the calculating method for minimum changes of weight is obtained when the ranking position between two alternatives is reversed 在区间数的“期望方差”排序法基础上，基于加权模型，对区间数多属性决策中权重灵敏度进行分析，并给出了当两个方案之间排序位置颠倒时某一指标的权重最小变化量的计算方法。
Conclusion this method is utility to the fuzzy multiple attribute decision making problems with preference information on alternatives , in which the attribute values are expressed in the form of interval numbers and the preference information are expressed in the form of triangular fuzzy numbers 结论对于属性值以区间数的形式给出，而对方案的偏好信息以三角模糊数的形式给出的多属性决策问题，该方法是有效的。
Aimed at the scantiness of segment method which is used in comprehensive evaluation model of interval - number , based on reamer intercept method , considering the model ' s stability , using attribute recognition theoretical model for reference 摘要针对现有区间数综合评判模型中，生成区间数所依据的线段法的不足，以刀切法思想为基础，通过模型的稳定性分析，借鉴属性识别理论，提出了一种以增强模型稳定性为目的的改进方法。
