基于标准否定函数的WIC-IVIFOWA算子及其应用  

WIC-IVIFOWA operator based on standard negatiom and its application

作　　者：杨艺[1,2] 吕红霞[1,2] 李延来[1,2] 

机构地区：[1]西南交通大学交通运输与物流学院,成都610031 [2]西南交通大学综合交通运输智能化国家地方联合工程实验室,成都610031

出　　处：《控制与决策》2017年第11期2021-2033,共13页Control and Decision

基　　金：国家自然科学基金项目(71371156)

摘　　要：首先,通过实例探究现存连续区间直觉模糊有序加权平均(C-IVIFOWA)算子的不足,引入标准否定函数(standard negation),构造对偶连续区间有序加权平均(DC-OWA)算子,进而提出改进的连续区间直觉模糊有序加权平均(IC-IVIFOWA)算子;然后,针对多个区间直觉模糊评价信息的集结问题,基于IC-IVIFOWA算子提出改进的加权连续区间直觉模糊有序加权平均(WIC-IVIFOWA)算子,证明了算子的相关性质;最后,运用WIC-IVIFOWA算子提出一种区间直觉模糊多属性决策方法,并通过实例表明所提出方法的有效性.The drawbacks of the existing continuous interval-valued intuitionistic fuzzy ordered weighted average（CIVIFOWA） operator are illustrated by an example, and the standard negation is introduced to develop the dual continuous ordered weighted average（DC-OWA） operator. Then, the improved continuous interval-valued intuitionistic fuzzy ordered weighted average（IC-IVIFOWA） operator is proposed to overcome the shortages. Based on the IC-IVIFOWA operator, the improved weighted continuous interval-valued intuitionistic fuzzy ordered weighted average（WIC-IVIFOWA） operator is defined to the aggregation of multiple interval-valued intuitionistic fuzzy numbers. Some desirable properties of this operator are proofed. An interval-valued intuitionistic fuzzy multiple attribute decision making approach is proposed by using the WIC-IVIFOWA operator, and a practical example is given to illustrate the effectiveness of the proposed approach.

关 键 词：区间直觉模糊算子 标准否定函数 IC-IVIFOWA算子 WIC-IVIFOWA算子 群决策 

分 类 号：C934[经济管理—管理学]