区间犹豫模糊M-对称平均及其群决策模型  

Interval-Valued Hesitant Fuzzy M-Symmetric Mean and Its Group Decision Making Model

作　　者：马庆功 MA Qinggong(Changzhou University Huaide College,Jingjiang,Jiangsu 214500,China)

机构地区：[1]常州大学怀德学院,江苏靖江214500

出　　处：《计算机工程与应用》2020年第11期156-163,共8页Computer Engineering and Applications

基　　金：江苏省高校自然科学基金面上项目(No.16KJB520001);泰州市科技支撑计划(社会发展)指导性项目;泰州市教育局产教融合项目;江苏省高等学校学生公寓管理与物业管理专业委员会立项项目。

摘　　要：区间犹豫模糊集是特殊的犹豫模糊集,可以更准确地刻画决策信息。而Maclaurin对称平均算子能够考虑多个输入参数值间的相互关系。基于Maclaurin对称平均算子,在区间犹豫模糊环境下,提出了一种区间犹豫模糊Maclaurin对称平均信息集成算法。定义了区间犹豫模糊Maclaurin对称平均(IVHFMSM)算子;讨论了IVHFMSM算子的四个优良性质以及几种特殊表达形式;基于提出的区间犹豫模糊加权Maclaurin对称平均(IVHFWMSM)算子,构建了区间犹豫模糊Maclaurin对称平均多属性群决策算法;通过实例发现,IVHFWMSM算子性质优良,具有多选择性且更加合理可行。Interval-valued hesitant fuzzy set is a special hesitant fuzzy set,which can more accurately describe decision information.The Maclaurin symmetric mean operator can consider the relationship between multiple input parameter values.Based on the Maclaurin symmetric mean operator,this paper proposes an interval-valued hesitant fuzzy Maclaurin symmetric mean information aggregation method in the interval-valued hesitation fuzzy environment.Firstly,the IntervalValued Hesitant Fuzzy Maclaurin Symmetric Mean(IVHFMSM)operator is defined.Then,the four excellent properties of the IVHFMSM operator and several special expressions are discussed.Subsequently,considering the proposed IntervalValued Hesitant Fuzzy Weighted Maclaurin Symmetric Mean(IVHFWMSM)operator,an interval-valued hesitant fuzzy Maclaurin symmetric mean multi-attribute group decision making algorithm is constructed.Finally,an example is given to show that the IVHFWMSM operator has excellent properties,and is more reasonable and feasible.

关 键 词：区间犹豫模糊集 Maclaurin对称平均 区间犹豫模糊Maclaurin对称平均算子 多属性群决策 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]