Journal
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
Volume 26, Issue 4, Pages 633-653Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218488518500290
Keywords
Multi-attribute decision making; interval-valued intuitionistic fuzzy set; Zhenyuan integral; correlation; linear programming
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Funding
- Projects of National Social Science Fund of China [18BTJ027]
- Statistical Scientific Research Project of China [2016LZ43, 2017LY100]
- Zhejiang Province Natural Science Foundation [LY18G010007]
- Philosophy and Social Sciences Planning Projects of Zhejiang [16ZJQN022YB, 17NDJC211YB]
- Social Science Subject Leader Project of Ningbo, Ningbo Natural Science Foundation [2015A610173]
- Ningbo City [NZKT201711]
- Chinese Academy of Social Sciences [NZKT201711]
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This paper develops some new decision making methods for multi-attribute decision making (MADM) problems, in which the attribute weights take the form of crisp numbers, and attribute values take the form of interval-valued intuitionistic fuzzy information. First, based on the Zhenyuan integral, an interval-valued intuitionistic fuzzy Zhenyuan averaging (IVIFZA) operator and an interval-valued intuitionistic fuzzy Zhenyuan geometric (IVIFZG) operator are introduced to facilitate aggregation of interval-valued intuitionistic fuzzy information. The proposed operators allow one to fully consider the importance of different combinations of attributes and, therefore, are highly suitable to handle problems involving inter-dependent or interactive attributes. We further proceed by exploring some desirable properties of the IVIFZA and IVIVZG operators. By employing the proposed operators, a MADM approach based on interval-valued intuitionistic fuzzy information is proposed. Finally, an illustrative example is presented to verify the developed approach and to demonstrate its practicality and effectiveness.
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