运筹与管理2018，Vol.27Issue(3)：66-73,8.DOI:10.12005/orms.2018.0061
基于直觉犹豫模糊集的TOPSIS法
TOPSIS Method with Intuitionistic Hesitant Fuzzy Sets
摘要
Abstract
Intuitionistic hesitant fuzzy sets(IHFSs), synthesizing the advantages of intuitionistic fuzzy sets and hesitant fuzzy sets,express the inconsistent preferences for decision makers more effectively.However,there is little research on the distance measures between IHFSs despite the fact that distance measure has received close attention, so the Hamming distance, Euclidean distance and generalized distance between two IHFSs are defined.Besides, we define the generalized weighted distance if the weight of each element is taken into account.Considering that hesitancy is the fundamentally characteristic of IHFSs,several novel distance measures which take the hesitancy degree into account are defined,in which both the values of intuitionistic hesitant fuzzy numbers(IHFNs)and the hesitancy degree are taken into account.The distance measure with preference can be calculated by setting different preference values between the values of IHFNs and the hesitancy degree if decision makers have different preference.Then we introduce an extended TOPSIS method based on new distance measures under intuitionistic hesitant fuzzy environment.Finally, a numerical example is given to show the reasonability and applicability of the proposed method.关键词
直觉犹豫模糊集/距离测度/犹豫度/TOPSIS法Key words
intuitionistic hesitant fuzzy sets/distance measure/hesitancy degree/TOPSIS method分类
管理科学引用本文复制引用
谭春桥,支帅..基于直觉犹豫模糊集的TOPSIS法[J].运筹与管理,2018,27(3):66-73,8.基金项目
国家自然科学基金资助项目(71671188) （71671188）
湖南省自然科学基金资助项目(2016JJ1024) （2016JJ1024）
