支持群决策过程建模的层次影响图模型  

Hierarchical influence diagrams for group decision process modeling

作　　者：胡笑旋[1,2] 杨善林[1,2] 张强[1,2] 

机构地区：[1]合肥工业大学管理学院,合肥230009 [2]过程优化与智能决策教育部重点实验室,合肥230009

出　　处：《系统工程理论与实践》2011年第7期1312-1319,共8页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(70801024;70631003;70971035);教育部博士点基金(200803590007)

摘　　要：传统影响图模型不具备对群决策过程的建模能力.针对这一问题,提出了层次影响图模型.首先给出了层次影响图的定义,它是一个以层次方式排列的影响图的集合.然后建立了不同影响图之间的三种消息传递方式,研究了在能够接收外界消息情况下的影响图演算方法.最后使用一个群决策案例展示了建模和求解的过程.层次影响图采用了分解-联合的建模策略,将影响图的应用范围扩展到群决策领域.The use of traditional influence diagrams （IDs） for group decision-making modeling is limited. For this reason, a framework of hierarchical influence diagrams （Hill）s） was proposed. First the definition of hierarchical influence diagrams was given, which is a set of influence diagrams organized in a hierarchical way. Those influence diagrams communicate with each other by three types of message passing. Then the evaluation algorithm for hierarchical influence diagrams was defined. Finally the HIDs modeling and evaluation process was illustrated using a group decision-making case. Hierarchical influence diagrams framework is a decomposition and combination methodology for decision-making process modeling, which widen the scope of application of influence diagrams into group decision making field.

关 键 词：影响图 群决策 建模 消息传递 

分 类 号：C934[经济管理—管理学]