一种指标权重信息不完全的语言多指标决策方法

Method for linguistic multiple attribute decision making with incomplete weight information

针对指标权重信息不完全且指标值为语言评价信息的多指标决策问题,提出了一种决策分析方法.首先对具有不完全信息的语言多指标决策问题进行了描述;然后给出了求解具有不完全信息的语言多指标决策问题的计算步骤,其核心是将语言评价信息转化为三角模糊数,通过计算方案值与理想点的距离,构建线性规划模型,得到指标权重值,进而可计算出每个方案的模糊评价值,相应地通过计算两两模糊数比较的可能度,可得到所有方案的排序结果.最后通过给出一个算例说明了所提方法的可行性和实用性.

With respect to linguistic multiple attribute decision making problems with incomplete information of attribute weight, a decision analysis method is proposed. Firstly, the linguistic multiple attribute decision making problem with incomplete information of attribute weight is introduced; then, calculation steps for solving linguistic multiple attribute decision making problems with incom- plete information of attribute weight are given. In this method, linguistic assessment information is transformed into triangular fuzzy numbers and an linear objective programming model is constructed through calculating distance between every alternative and positive ideal point to determine attribute weight, based on this, the fuzzy appraisal value of each alternative and possibility about triangular fuzzy numbers are calculated to rank alternatives. Finally, a numerical example is given to illustrate the feasibilitv and oracticabilitv of the proposed method.