对偶犹豫模糊集的相关系数及其应用  

Correlation coefficient of dual hesitate fuzzy set and its application

作　　者：吴婉莹[1] 金飞飞[1] 郭甦[1] 陈华友[1] 周礼刚[1] 

机构地区：[1]安徽大学数学科学学院,合肥230601

出　　处：《计算机工程与应用》2015年第15期38-42,61,共6页Computer Engineering and Applications

基　　金：国家自然科学基金(No.71071002);教育部高等学校博士点基金(No.20123401110001);留学回国人员科研启动项目;安徽省自然科学基金(No.1308085QG127);安徽省高校省级自然科学研究重点项目(No.KJ2012A026);安徽省教育厅人文社科项目(No.SK2013B041)

摘　　要：对偶犹豫模糊集因其可以给决策者提供更多的决策信息成为模糊决策的热点研究问题,相关性指标可以用来度量两个模糊信息之间的相关关系,熵可以用来度量模糊信息的不确定程度。提出了一种基于对偶犹豫模糊集相关系数和熵的模糊多属性群决策方法。定义了对偶犹豫模糊集相关系数的概念,讨论了其基本性质;提出了两种对偶犹豫模糊集的熵,在此基础上,给出了模糊多属性群决策的权重确定方法;基于对偶犹豫模糊集相关系数和熵,提出了一种属性权重完全未知条件下的模糊多属性群决策方法;通过案例分析说明了该方法的有效性和可行性。Dual hesitant fuzzy set has become a hot issue in fuzzy decision making problem as a result of providing more decision information for decision makers. The correlation index can be used to measure the relationship between two fuzzy information, and entropy is a measurement of the degree of uncertainty for fuzzy information. This paper presents a fuzzy multiple attribute group decision making method based on the dual hesitant fuzzy correlation coefficient and entropy. The definition of the dual hesitant fuzzy correlation coefficient is proposed. It discusses some basic properties. Two kinds of entropy for dual hesitant fuzzy set are put forward, based on which, it presents the method of determining weight for fuzzy multiple attribute group decision making. On the basis of the dual hesitant fuzzy set correlation coefficient and entropy, a new method for dual hesitant fuzzy multi-attribute group decision making problem with completely unknown attribute weight information is proposed. It demonstrates that the method is practically and effective through an analysis of a case.

关 键 词：对偶犹豫模糊集 相关系数 熵 多属性群决策 

分 类 号：O22[理学—运筹学与控制论]