直觉模糊数风险偏好一致排序方法和决策  

A Ranking Method and Decision-making with Consistent Risk Preference in Intuitionistic Fuzzy Numbers

作　　者：陈均明[1] 李红霞[2] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067 [2]重庆工商大学管理学院,重庆400067

出　　处：《模糊系统与数学》2010年第6期85-91,共7页Fuzzy Systems and Mathematics

摘　　要：证明直觉模糊数的Hong排序法、刘华文排序法和陈东峰排序法都要求决策者的风险态度随直觉模糊数变化而变化,不满足风险偏好一致性,违背决策者的风险态度相对稳定的实际情况。提出基于风险偏好系数的直觉模糊数排序方法,它能保证决策者风险偏好一致;并且,面对相同的决策问题,不同风险偏好的决策者可能有不同的决策结果。最后,把基于风险偏好系数的直觉模糊数排序法应用于直觉模糊集多属性决策。It proves that all Hong ranking method and Liu Hua-wen ranking method and Chen Dong-feng ranking method of intuitionistic fuzzy numbers demand decision-maker vary his risk preference with intuitionistic fuzzy number,so it doesn＇t fulfil consistent risk preference and disobey the fact that a decision-maker＇s risk preference keep relative stabilization.Then it propose a new ranking method of intuitionistic fuzzy numbers based on risk preference coefficient,and the new method can keep consistent risk preference and make different risk preference decision-makers may get different decision-making result when they meet the same question.Finally,it uses the new ranking method for multi-attribute decision making in intuitionistic fuzzy sets.

关 键 词：直觉模糊数 排序 风险偏好一致 风险偏好系数 决策 

分 类 号：O159[理学—数学] C934[理学—基础数学]