摘要
提出了一种准则权系数和决策者权系数信息都不完全,且决策者存在风险态度的Fuzzy群体多准则决策方法。该方法通过利用准则权系数的不完全信息构造各方案针对不同决策者的Fuzzy线性规划,利用Fuzzyα 截集和区间数的性质,将Fuzzy线性规划转化为线性规划,求解综合后的线性规划得到各方案针对不同决策者的评价模糊数。然后利用决策者的不完全信息构造Fuzzy线性规划,将Fuzzy线性规划转换成为一般线性规划问题,求解综合后的线性规划问题,得到方案的群体评价模糊数。对决策者的风险态度进行集成得到群体风险态度,利用模糊数的距离公式将群体风险态度与方案的群体评价模糊进行集成得到整个方案集的一个排序。对准则值是梯形模糊数的信息不完全的Fuzzy群体决策方法的实现过程进行了详细讨论。最后通过实例说明该方法的可行性和有效性。
A new method of fuzzy group multiple criteria decision making (FGMCDM)with incomplete information of criteria's weights and decision-maker's is proposed. For each decision-maker and each alternative, by using the incomplete information of criteria weight coefficient, fuzzy linear programming is constructed. And by using fuzzy α-cuts and properties of interval number, the fuzzy linear programming can be converted into linear programming. By solving the combined linear programming, the evaluation fuzzy number of the alternatives for the decision-makers can be obtained. Then for each alternative, by using incomplete information of the decision-makers, fuzzy linear programming is constructed. So the fuzzy linear programming can be transferred into ordinary linear programming through making use of fuzzy numbers' properties. By solving the combined linear programming, the group evaluation fuzzy number of every alternative can be attained. After integrating the decision makers' risk preference into group risk preference and combining the group risk preference with the group evaluation fuzzy number by the fuzzy number's distance formula, the ranking of the whole alternative set can be obtained. The implementation of FGMCDM with incomplete information, of which the criteria values are trapezium fuzzy numbers, is discussed thoroughly. Finally, an example is given to explain the feasibility and availability of this method.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2004年第11期1604-1608,1722,共6页
Systems Engineering and Electronics
关键词
信息不完全
Fuzzy群体多准则决策
模糊数
incomplete information
fuzzy group multiple criteria decision making
fuzzy number
