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区间数多属性决策的一种优化分析分法
引用本文:王中兴,鲁成国,何燕华.区间数多属性决策的一种优化分析分法[J].黄冈师范学院学报,2005,25(3):12-15.
作者姓名:王中兴  鲁成国  何燕华
作者单位:广西大学,数学与信息科学学院,广西,南宁,530004
基金项目:广西大学科研基金项目(X03205).
摘    要:对于区间数多属性决策问题,提出了两种区间数的定量化分析方法.方法一把区间数看作是一个随机区间,把属性值看作是一个随机变量,并假设它在区间上服从正态分布,方法二则验证了方法一的合理性.在充分考虑到决策对待风险态度的前提下,对每个区间数都赋予一个评价值.最后通过求解一个线性规划模型,给出了各个方案的综合评价值,从而选出最优方案.

关 键 词:区间数  多属性决策  正态分布
文章编号:1003-8078(2005)03-0012-04
修稿时间:2005年4月20日

An optimal method for multi-attribute decision-making with intervals
WANG Zhong-xing,LU Cheng-guo,HE Yan-hua.An optimal method for multi-attribute decision-making with intervals[J].Journal of Huanggang Normal University,2005,25(3):12-15.
Authors:WANG Zhong-xing  LU Cheng-guo  HE Yan-hua
Abstract: We proposed two approaches for the quantitative analysis of intervals on multi-attribute decision-making. The first one, based on the assumption that for the attribute value there is a normal distribution in each interval, takes the attribute value as a random variable and regards the interval as a random one; the second one verifies the validity of the first one. With respect to decision-maker's attitude to the decision-making risk, each approach assign an assessable value to each interval. From this we deduced a linear programming model, present a synthetic assessable value, and at last select the optimal alternative.
Keywords:interval  multi-attribute decision-making  normal distribution
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