期刊
IEEE ACCESS
卷 7, 期 -, 页码 45734-45743出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2019.2906945
关键词
Additive operation; intuitionistic fuzzy set; mean value theorem for integrals; multiplicative operation
资金
- National Natural Science Fund of China [51508319]
- Research Program of National Special Authorized Social Science Fund of China [07@ZH005]
- Nature and Science Fund from the Zhejiang Province Ministry of Education [Y201327642]
- Philosophy and Social Science Planning Project of Guangdong Province [GD16XXL02]
- China National Education Planning Project [BBA180078]
- NNSF of China [11301474]
- NSF of Guangdong Province [2018A030313536]
This paper unifies the classical intuitionistic fuzzy additive and multiplicative operations and proposes a generalized intuitionistic fuzzy additive operation and a generalized interval-valued intuitionistic fuzzy additive operation. In particular, it was proved that the classical additive and multiplicative operations on intuitionistic fuzzy sets (IFSs) are two special cases of the newly proposed generalized intuitionistic fuzzy additive operation, while the classical additive and multiplicative operations on interval-valued IFSs (IVIFSs) are two special cases of the generalized interval-valued intuitionistic fuzzy additive one. This paper has three innovation points. First, it introduces two kinds of intuitionistic preference factors,'' which are the key parameters of the generalized intuitionistic fuzzy additive and the generalized interval-valued intuitionistic additive operations. Second, it proposes a generalized intuitionistic fuzzy additive aggregating operator based on an intuitionistic preference factor and a generalized interval-valued intuitionistic fuzzy additive aggregating operator based on the mean value theorem for integrals. Third, two novel multiple attribute decision-making approaches under the intuitionistic fuzzy environment are proposed. In addition, two examples are given to verify the validity of the proposed generalized fuzzy additive operators and decision-making approaches.
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