基于群体理想解的三角模糊数群体多属性决策  

Method for Triangular Fuzzy Number Multi-attribute Group Decision-making Based on Group′s Ideal Solution

作　　者：黄智力[1] 罗键[1] 

机构地区：[1]厦门大学信息科学与技术学院,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2011年第5期817-822,共6页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金项目(F030508;F030207)

摘　　要：为求解群体多属性决策问题,提出属性值为三角模糊数的一种群体多属性决策法.该方法首先引入依赖于评价属性和专家个体判断相似度的专家权重思想,以反映专家在不同评价属性中的综合重要性程度;其次采用理想点法对每个单一评价属性将专家个体判断集结成专家群体判断,构造出关于方案集的群体判断决策矩阵;最后定义三角模糊数正负群体理想方案,以此给出了三角模糊数群体多属性决策问题的群体理想解算法.通过算例分析说明了该方法的可行性.To solve the multi-attribute group decision-making problems,the paper proposes a new method in which the attribute val-ues are in the form of triangular fuzzy numbers. Accoiding to expertst weight ideal which depends on evaluation attribute and the similarity of the expert＇s individual judgments,the expert＇s individual judgments for each single evaluation attribute are aggregated into expert＇s group judgment by using the ideal point method, thus a group＇s judgment decision-making matrix about the alternative set is obtained. Afterward,the positive and negative group＇s ideal schemes of triangular fuzzy numbers are defined. Then an algorithm for triangular fuzzy numbers multi-attribute group decision-making problems based on group＇s ideal solution is presented. Finally, by a numerical example, we illustrate the feasibility of the developed method.

关 键 词：群体多属性决策 三角模糊数 专家权重 群体理想解 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]