具有部分指标权重信息的语言多指标决策方法

针对指标权重信息部分已知、部分未知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。对具有部分指标权重信息的语言多指标决策问题进行了描述。给出了求解具有部分指标权重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,通过计算每个方案与理想点之间的距离,构建最优化模型,求得未知的指标权重值,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评价值比较的可能度,得到所有方案的排序结果。通过给出一个算例说明了所提方法的可行性和实用性。

Method for linguistic multiple attribute decision making with partial attribute weight information

With respect to linguistic multiple attribute decision making problems with partial information of attribute weights,a decision analysis method is proposed.The calculation steps for solving linguistic multiple attribute decision making problems with partial information of attribute weights are given.In the method,linguistic assessment information is transformed into the form of triangular fuzzy number and an optimization model is constructed through calculating the distance between every alternative and positive ideal point to determine unknown attribute weights,on the basis of which fuzzy appraisal value of each alternative and possibility about triangular fuzzy numbers are calculated to rank alternatives.Finally,a numerical example is used to illustrate the feasibility and applicability of the proposed method.