不完全信息的多属性粗糙决策分析方法  

Rough analysis method of multi-attribute decision making with incomplete information

作　　者：何亚群[1] 胡寿松[1] 

机构地区：[1]南京航空航天大学自动化学院,江苏南京210016

出　　处：《系统工程学报》2004年第2期117-120,共4页Journal of Systems Engineering

基　　金：国家自然科学基金重点资助项目(60234010);航空科学基金资助项目(02E52025).

摘　　要：针对有偏好信息但信息不完全的多属性决策问题,给出了一种基于拓展粗糙集的决策分析方法.首先提出了扩展优势关系的概念;其次用扩展优势关系代替经典粗糙集中的不可分辨关系得到知识的粗糙近似,证明了粗糙近似的两种等效表示方法及基本性质,给出了分类决策规则;最后通过一个实例说明方法的可行性与有效性.In this paper, a decision analysis method based on extension of the rough sets is proposed to multi_attribute decision making problems with preferential and incomplete information. First, the concept of extended dominance relation is presented. Then the indiscernibility relation in the original rough sets theory is replaced by the extended dominance relation and the rough approximations of decision classes is obtained. Two equivalent expressions and basic properties of rough approximations are proved and the sorting decision rules are given. Finally, the feasibility and effectiveness of the method are demonstrated by a real example.

关 键 词：多属性决策问题 不完全信息 粗糙集 隶属函数 

分 类 号：O225[理学—运筹学与控制论]