直觉对偶犹豫模糊集的集结算子及其应用  

Intuitionistic Dual Hesitant Fuzzy Set Operators and Its Application

作　　者：吴婉莹[1] 何迎东[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,安徽合肥230601

出　　处：《武汉理工大学学报（信息与管理工程版）》2014年第2期225-228,共4页Journal of Wuhan University of Technology：Information & Management Engineering

基　　金：国家自然科学基金资助项目(71071002);教育部高等学校博士点基金资助项目(20123401110001);教育部留学回国人员科研启动项目;安徽省自然科学基金资助项目(1308085QG127);安徽省高校省级自然科学研究重点基金资助项目(KJ2012A026);安徽省教育厅人文社科基金资助项目(SK2013B041)

摘　　要：在对偶犹豫模糊集与直觉模糊集的基础上,提出了直觉对偶犹豫模糊集的概念和基本运算,构造了直觉对偶犹豫模糊集的算术加权平均集结算子和几何加权平均算子,并考虑有序和广义的情况,分别给出相对应的公式。同时针对某些算子的特殊性质,给出了详细描述和证明。针对模糊集的多属性群决策问题,提出了一种新的基于直觉对偶犹豫模糊集的集结算子的多属性群决策方法,通过一个实例说明了该方法的实用性和有效性。In the intuitionistic dual hesitant fuzzy set , the definition and the basic operation laws of the intuitionistic dual hesitant fuzzy set were proposed based on the definition of dual hesitant fuzzy set .The arithmetic weighted averaging operator and geometric weighted averaging operator of intuitionistic dual hesitant fuzzy set were constructed ; then the corresponding formula were presented while the order and general situation were taken into consideration .At the same time, for some special properties of the operators , the detailed description and proof were given .A new multi-attribute group decision making method was pro-posed for fuzzy set .The method was based on set operators of intuitionistic dual hesitant fuzzy set .The operators are practical and effective to solve multi-attribute group decision making problem .

关 键 词：对偶犹豫模糊集 直觉模糊集 算术加权平均算子 几何加权平均算子 

分 类 号：O224[理学—运筹学与控制论]