期刊
JOURNAL OF SYSTEMS SCIENCE AND SYSTEMS ENGINEERING
卷 19, 期 4, 页码 430-452出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s11518-010-5151-9
关键词
Intuitionistic fuzzy value; interval-valued intuitionistic fuzzy value; similarity measure; aggregation operator
资金
- National Science Fund for Distinguished Young Scholars of China [70625005]
- National Natural Science Foundation of China [71071161]
- Scientific Innovation Research of College Graduate in Jiangsu Province [CX10B_059Z]
We first propose a series of similarity measures for intuitionistic fuzzy values (IFVs) based on the intuitionistic fuzzy operators (Atanassov 1995). The parameters in the proposed similarity measures can control the degree of membership and the degree of non-membership of an IFV, which can reflect the decision maker's risk preference. Moreover, we can obtain some known similarity measures when some fixed values are assigned to the parameters. Furthermore, we apply the similarity measures to aggregate IFVs and develop some aggregation operators, such as the intuitionistic fuzzy dependent averaging operator and the intuitionistic fuzzy dependent geometric operator, whose prominent characteristic is that the associated weights only depend on the aggregated intuitionistic fuzzy arguments and can relieve the influence of unfair arguments on the aggregated results. Based on these aggregation operators, we develop some group decision making methods, and finally extend our results to interval-valued intuitionistic fuzzy environment.
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