Journal
INFORMATICA
Volume 27, Issue 1, Pages 203-229Publisher
INST MATHEMATICS & INFORMATICS
DOI: 10.15388/Informatica.2016.82
Keywords
multi-attribute decision making; interval-valued intuitionistic fuzzy sets; fuzziness; intuitionism; entropy
Funding
- National Natural Science Foundation of China [61273209, 71571123]
- Fundamental Research Funds for Central Universities [KYLX_0207]
- Scientific Research Foundation of Graduate School of Southeast University [YBJJ1527]
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This paper reviews the existing definitions and formulas of entropy for interval-valued intuitionistic fuzzy sets (IVIFSs) and demonstrates that they cannot fully capture the uncertainty of IVIFSs. Then considering both fuzziness and intuitionism of IVIFSs, we introduce a novel axiomatic definition of entropy for IVIFSs and develop several entropy formulas. Example analyses show that the developed entropy formulas can fully reflect both fuzziness and intuitionism of IVIFSs. Furthermore, based on the entropy formulas of IVIFSs, a method is proposed to solve multi-attribute decision making problems with IVIFSs. Additionally, an investment alternative selection example is provided to validate the practicality and effectiveness of the method.
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