区间复模糊软集的距离测度及其应用  

Distance Measure of Interval-Valued Complex Fuzzy Soft Sets and Its Application

作　　者：范建平[1] 成瑞 吴美琴[1] FAN Jianping;CHENG Rui;WU Meiqin(School of Economics and Management,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学经济与管理学院,太原030006

出　　处：《计算机工程与应用》2020年第9期248-259,共12页Computer Engineering and Applications

基　　金：山西省“1331工程”重点创新团队建设计划(No.TD201710)。

摘　　要：基于区间复模糊软集的概念,定义了多种区间复模糊软集的距离测度公式,包含Hausdorff距离、Hamming距离、Euclidean距离、广义Hausdorff距离、广义Euclidean距离、广义加权Hausdorff距离、广义加权Euclidean距离、加权Hausdorff距离、加权Hamming距离、加权Euclidean距离。提出了除交、并、补运算外的区间复模糊软集的加法、乘法、部分隶属度和部分非隶属度运算以及距离测度之间的运算性质。基于区间复模糊软集距离测度构造了一种TOPSIS决策方法,并将这种决策方法应用于经济分析中,验证了所提方法的可行性。Based on the concept of interval-valued complex fuzzy soft sets, various distance measure formulas of intervalvalued complex fuzzy soft sets are defined, including Hausdorff distance, Hamming distance, Euclidean distance, generalized Hausdorff distance, generalized Euclidean distance, generalized weight Hausdorff distance, generalized weight Euclidean distance, weight Hausdorff distance, weight Hamming distance, and weight Euclidean distance. At the same time, this paper proposes the addition, multiplication, partial membership degree and partial non-membership operation except for intersection, union and complement operations and the operation properties between distance measures of intervalvalued complex fuzzy soft sets are proposed. A TOPSIS method is constructed based on the distance measures of intervalvalued complex fuzzy soft sets, and the TOPSIS method is applied to economic analysis. The effectiveness of the proposed method is verified.

关 键 词：区间复模糊软集 Hausdorff距离测度 Hamming距离测度 Euclidean距离测度 TOPSIS算法 

分 类 号：N945[自然科学总论—系统科学]