区间值对偶犹豫模糊集的相关系数及其应用  

Correlation coefficient of interval-valued dual hesitate fuzzy set and its application

作　　者：吴婉莹[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17期140-144,共5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：区间值对偶犹豫模糊集因其可能隶属度与可能非隶属度均采用区间的形式而更具有一般性,因而得到广泛的应用。相关系数可以用来度量两个模糊信息之间的相关关系。基于区间值对偶犹豫模糊集相关系数提出了一种新的多属性群决策方法。在对偶犹豫模糊集的基础上给出了区间值对偶犹豫模糊集的定义及其基本运算;给出了区间值对偶犹豫模糊集的相关系数的定义及相应的计算公式;构造了确定权重的优化模型;基于区间值对偶犹豫模糊集的相关系数和确定权重的优化模型,提出一种属性权重部分未知的模糊多属性群决策方法,并通过实例说明该方法的有效性和可行性。Interval-valued dual hesitant fuzzy set has received widely application as a result of its possible membership and possible non-membership are interval-values. The correlation coefficient can be used to measure the relationship between two fuzzy information. Based on the interval-valued dual hesitant fuzzy correlation coefficient, this paper presents a new fuzzy multiple attribute group decision making method. Firstly, the definition of the interval-valued dual hesitant fuzzy is proposed on the basis of the definition of the dual hesitant fuzzy, then some basic operation laws of it are discussed.It is presented the definition of the interval-valued dual hesitant fuzzy correlation coefficient. The optimal model is contructed for determining the weight vector. Finally, on the basis of the interval-valued dual hesitant fuzzy set correlation coefficient and optimal model, a new method for interval-valued dual hesitant fuzzy multi-attribute group decision making problem with incompletely known attribute weight information is proposed and it is demonstrated that the method is practically and effective through an analysis of a case.

关 键 词：区间值对偶犹豫模糊集 相关系数 权重 多属性群决策 

分 类 号：O22[理学—运筹学与控制论]