摘要
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.
出处
《东南大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2006年第4期681-684,共4页
Journal of Southeast University:Natural Science Edition
基金
国家杰出青年科学基金资助项目(70525002)
国家自然科学基金资助项目(70371050)
教育部高等学校优秀青年教师教学科研奖励计划资助项目(教人司[2002]123)
教育部高等学校博士点专项科研基金资助项目(20040145018)
关键词
多指标决策
不完全信息
语言评价信息
三角模糊数
方案排序
multiple attribute decision making
incomplete information
linguistic assessment information
triangular fuzzy numbers
alternative ranking