期刊
INFORMATICA
卷 28, 期 2, 页码 237-268出版社
INST MATHEMATICS & INFORMATICS
DOI: 10.15388/Informatica.2017.128
关键词
decision making; linguistic hesitant fuzzy set; correlation coefficient; TOPSIS method; the Shapley function
资金
- State Key Program of National Natural Science of China [71431006]
- Projects of Major International Cooperation NSFC [71210003]
- National Natural Science Foundation of China [71571192, 71271080]
- Ministry of Education Humanities Social Science Foundation of China [13YJA630020]
- Research Foundation of Education Bureau of Hunan Province, China [16C0515]
- Innovation-Driven Planning Foundation of Central South University [2015CX010, 2016CXS027]
Linguistic hesitant fuzzy sets (LHFSs) permit the decision maker to apply several linguistic terms with each having several membership degrees to denote his/her preference of one thing. This type of fuzzy sets can well address the qualitative and quantitative cognitions of the decision maker as well as reflect his/her hesitancy, uncertainty and inconsistency. This paper introduces a distance measure between any two LHFSs and then defines a correlation coefficient of LHFSs. Considering the application of LHFSs, the weighted distance measure and the weighted correlation coefficient of LHFSs are defined. To address the interactions between elements in a set, the Shapley weighted distance measure and the Shapley weighted correlation coefficient are presented. It is worth noting that when the elements are independent, they degenerate to the associated weighted distance measure and the weighted correlation coefficient, respectively. After that, their application to pattern recognition is studied. Furthermore, an approach to multi-attribute decision making under linguistic hesitant fuzzy environment is developed. Meanwhile, numerical examples are offered to show the concrete application of the developed procedure.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据