Journal
FUZZY OPTIMIZATION AND DECISION MAKING
Volume 16, Issue 2, Pages 183-204Publisher
SPRINGER
DOI: 10.1007/s10700-016-9243-y
Keywords
Intuitionistic fuzzy numbers; Interval number; Exponential operational law; Information aggregation; Multi-attribute decision making
Funding
- National Natural Science Foundation of China [61273209, 71571123]
- Central University Basic Scientific Research Business Expenses Project [skgt201501]
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Intuitionistic fuzzy numbers (IFNs) have already been applied to many fields, especially in multi-attribute decision making (MADM). Based on the basic operational laws and information aggregation methods of IFNs, MADM with intuitionistic fuzzy information has become more and more popular. In this paper, we investigate the MADM problems where the attribute values take the form of interval numbers and the weight information on the attributes are expressed as IFNs. We first propose a novel exponential operational law based on IFNs and interval numbers, and then study some of its desirable properties. Based on the exponential operational law, we put forward an intuitionistic fuzzy weighted exponential aggregation operator, and utilize it to develop a MADM method. Finally, we apply our method to solve the decision making problem under uncertainty.
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