直觉模糊数密度集成算子及其应用  

Intuitionistic fuzzy number density aggregation operator and its application

作　　者：林友谅[1] 李武[2] 韩庆兰[1] LIN You-liang LI Wu HAN Qing-lan(School of Business, Central South University, Changsha 410083, China School of Information and Communication Engineering, Hu＇nan Institute of Science and Technology, Yueyang 414006, China)

机构地区：[1]中南大学商学院,长沙410083 [2]湖南理工学院信息与通信工程学院,湖南岳阳414006

出　　处：《控制与决策》2017年第6期1026-1032,共7页Control and Decision

基　　金：国家自然科学基金项目(61473118;71172101);湖南省高校创新平台开放基金项目(13K102);湖南省自然科学基金项目(2015JJ2074);湖南省科技计划项目(2016TP1021)

摘　　要：针对有数据分布疏密偏好的直觉模糊问题,提出基于密度集成算子的集结方法.首先,借助差异度和相似度构建距离测度公式,结合树图思想给出一种简单的直觉模糊数聚类方法;然后,讨论决策者偏好与密度权向量的关系,并在此基础上定义两种新的算子—–直觉模糊密度加权平均集成算子和直觉模糊密度混合算术平均集成算子,后者具有更优良的性质.最后,通过算例验证了所提出方法的有效性.In view of the intuitionistic fuzzy number problem with the density preference of information distribution, an intuitionistic fuzzy number aggregation method based on density operator is proposed. Firstly, an intuitionistic fuzzy clustering method based on tree graph is presented, and the distance measure formula is constructed by using the difference together with the similarity. Then the relation betweer the decision make＇s preference and the density weighted vector is discussed. The two novel operators are defined, namely, the intuitionstic fuzzy density weighted average（IFDWAω,ξ） operator and the intuitionistic fuzzy density mixed arithmetic mean（IFDHAAω,ξ） operator, and the latter has more excellent properties. Finally, the numerical cases are given to illustrate the effectiveness of the proposed method.

关 键 词：多属性决策 直觉模糊数 聚类 密度算子 

分 类 号：C934[经济管理—管理学]