基于广义Fuzzy偏好关系的决策方法探讨  

Study of decision making method using generalized fuzzy preference relations

作　　者：董玉成[1] 徐寅峰[1,2] 王扬[1] 

机构地区：[1]西安交通大学管理学院,陕西西安710049 [2]机械制造系统工程国家重点实验室,陕西西安710049

出　　处：《系统工程学报》2008年第3期282-288,共7页Journal of Systems Engineering

基　　金：国家自然科学基金资助项目(70525004;70121001;60736027)

摘　　要：提出了广义模糊偏好关系的概念.设计了互补化排序和加性一致化排序两种排序方法,讨论了两种排序方法的相关性质.基于这两种排序方法,定义了冗余一致性指标和加性一致性指标,并讨论了采用加权算术平均算子(WAA 算子)或有序加权平均算子(OWA 算子)对广义模糊偏好关系进行集结,其群体偏好一致性(包括冗余一致性和加性一致性)的相关性质.对进一步完善基于模糊偏好关系的群决策模型具有理论和现实意义.This paper first presents a concept of generalized fuzzy preference relations and designs two methods to obtain the priorities vector from them. Moreover, the related properties of these two priority methods are discussed. Then the redundancy consistency and the additive consistency are defined based on the two methods. At last, some results on redundancy consistency and the additive consistency of the collective preference relation aggregated by weighted arithmetic averaging operator or ordered weighted averaging operator are given. These results are very important for group decision model with fuzzy preference relations.

关 键 词：广义模糊偏好关系 排序方法 冗余一致 加性一致 信息集成算子 

分 类 号：C934[经济管理—管理学]