基于区间数和改进灰色证据理论的地铁绿色施工方案评价

Evaluation of Green Subway Construction Scheme Based on Interval Number and Improved Gray correlation and D-S Theory of Evidence

针对地铁绿色施工方案指标值以区间数形式给出的多指标决策问题,提出了一种基于区间数和改进灰色证据理论的评价方法。该方法以灰色关联系数得到指标的不确信度,从而构建多指标下备选方案的Mass函数矩阵,通过证据理论的Dempster合成法则对Mass函数进行信息融合,根据得到的信度函数值对方案进行排序。该方法舍弃区间数权重的计算,同时对灰色关联系数、不确定度和理想偏离度等作出改进,使得计算过程和结果更为简便有效。最后结合实例进行了验证计算,结果表明该方法能够最大程度地消除评价对象内在的不确定性,切实可行,评价过程简洁直观。

Green subway construction program is of a good way to achieve standard green subway construction. Focusing on solving the decision problems with multiple attribute which is given by interval numbers,an evaluation method based on Interval Number was proposed. This method obtain the uncertainty of Indicators by gray correlation coefficient to construct matrix of Mass function on Alternative with multi-index,we can then use the combination rule of D-S theory to synthesis the Mass Function and get the best result based on the principle of maximizing the reliability function. This method discards weight calculation of interval numbers,and at the same time makes improvements on Grey correlation coefficient,uncertainty and ideal deviation to make the calculation process more simple and effective. An example was calculated using the proposed method,the results show that this method is practical,simple and intuitive as it eliminates the uncertainty of information.