Journal
GROUP DECISION AND NEGOTIATION
Volume 25, Issue 6, Pages 1261-1275Publisher
SPRINGER
DOI: 10.1007/s10726-016-9473-y
Keywords
Interval-valued intuitionistic fuzzy set; Multiple attribute decision making; Intuitionistic index; Interval number; Utility theory
Categories
Funding
- NNSF of China [51508319, 61374195, 51409157, 11301474, 11171295]
- National Special Authorized Social Science Fund of China [07@ZH005]
- Nature and Science Fund from Zhejiang Province Ministry of Education [Y201327642]
- Foundation for Distinguished Young Teachers in Higher Education of Guangdong, China [Yq2013163]
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In this paper, a kind of multiple attribute group decision making problem is studied, where there is no original information about the weights of importance of the attributes and the decision makers (DMs), and the attribute values are given in the form of interval-valued intuitionistic fuzzy numbers (IVIFNs). To solve this problem, a new method is proposed based on utility theory. In the proposed method, the weights of importance of the DMs and the attributes are all determined by using the intuitionistic indexes of related IVIFNs. And then, the alternatives are compared by using their composite interval indexes which are generated based on utility theory. Finally, two numerical examples are proposed to demonstrate the effectiveness of the proposed method.
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