基于犹豫度下区间直觉模糊信息的决策方法及其应用  

Decision-making Methods for Interval-valued Intuitionistic Fuzzy Information Based on Hesitancy Degree and Their Application

作　　者：姚登宝[1] 毛军军[2,3] 査道丽 贾静丽[1] 

机构地区：[1]安徽大学数学科学学院,合肥230039 [2]安徽大学 [3]安徽大学计算智能与信号处理教育部重点实验室,合肥230039

出　　处：《合肥学院学报（自然科学版）》2011年第3期1-4,11,共5页Journal of Hefei University :Natural Sciences

基　　金：国家自然科学基金(61073117);安徽大学学术创新团队(KJTD001B);安徽大学人才队伍建设经费资助;安徽省高等学校优秀青年人才基金项目(2011SQRL186)

摘　　要：对区间直觉模糊集的度量方法进行了研究.首先介绍了区间直觉模糊集的相关概念,在充分利用犹豫度信息的情况下,构造了一种新的得分函数,并证明了其相关性质;同时,将其与几类精确函数作了比较,并结合加权算术平均算子和加权几何平均算子,提出了一种基于区间直觉模糊信息的决策方法;最后,通过实例分析验证了决策方法的有效性和合理性.Metrical methods for interval-valued intuitionistic fuzzy set are investigated in this paper. Firstly, some relational concepts about interval-valued intuitionistic fuzzy set have been introduced, considering hesitancy degree information sufficiently, a new score function has been constructed and some relational properties have been also proved. At the same time, the score function has been compared with some accuracy functions, together with the weighted arithmetic average operator and the weighted geometric average operator, a new making-decision method based on interval-valued intuitionistic fuzzy information has been proposed. Finally, the effectiveness and rationality have been verified by a practical example.

关 键 词：区间直觉模糊集 犹豫度 得分函数 决策 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]