求解序区间偏好信息群决策问题的理想点法

为了求解具有序区间偏好信息的群决策问题,提出了一种理想点法.首先对具有序区间偏好信息的群决策问题进行了描述,给出了任意两个序区间之间距离的公式;然后依据传统理想点法的基本思路,给出了解决具有序区间偏好信息的群决策问题的计算步骤,其核心是运用所给出的距离公式计算每个方案与正理想点、负理想点之间的距离,并进一步根据计算得到的方案的相对接近度对方案进行排序.最后通过一个算例说明了给出方法的可行性和有效性.

TOPSIS Method to Solve Group Decision Problems with Preference Information in Ordinal Interval Form

For the group decision making problems with alternative preference information in form of ordinal interval,a TOPSIS(technique for order preference by similarity to ideal solution) method is proposed to analyze the decision making process. Describing such problems,a distance formula is given between two random ordinal intervals.Then based on the conventional TOPSIS method,the calculation steps are given to solve group decision making problems with ordinal intervals,where the key point is using the distance formula given above to calculate the distance(s) between each and all alternatives and the positive or negative ideal solution and,further,the alternatives are ranked in accordance to the relative closeness coefficient of every alternatives calculated.A numerical example is given to illustrate the feasibility and effectiveness of the proposed method.