Journal
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
Volume 18, Issue 4, Pages 673-684Publisher
SPRINGER
DOI: 10.1007/s40815-015-0110-8
Keywords
Multiple-criteria decision making; Triangular type-2 fuzzy number; Type-2 probability degree
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Funding
- National Natural Science Foundation of China [71271218, 71401185]
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Type-2 fuzzy sets/numbers (T2FSs/T2FNs) attract more and more attention in fuzzy decision field. The existing studies mostly focus on the general properties of T2FS, or interval type-2 fuzzy number whose membership degrees are denoted by intervals. A new form of T2FN named triangular type-2 fuzzy number is proposed, whose primary and secondary memberships both have the continuous triangular feature. For aggregating the triangular type-2 fuzzy information, two operators are also defined. Based on them, a method is developed to handle the duplex linguistic group multi-criteria decision making problems and rank the alternatives. Finally, an example is provided to show the feasibility of the method.
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