期刊
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
卷 47, 期 15, 页码 3598-3608出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2015.1102359
关键词
Multi-criteria decision-making; interval neutrosophic sets; cross-entropy; mathematical programming; TOPSIS
类别
资金
- National Natural Science Foundation of China [71571193, 71431006]
In this paper, two optimisation models are established to determine the criterion weights in multi-criteria decision-making situations where knowledge regarding the weight information is incomplete and the criterion values are interval neutrosophic numbers. The proposed approach combines interval neutrosophic sets and TOPSIS, and the closeness coefficients are expressed as interval numbers. Furthermore, the relative likelihood-based comparison relations are constructed to determine the ranking of alternatives. A fuzzy cross-entropy approach is proposed to calculate the discrimination measure between alternatives and the absolute ideal solutions, after a transformation operator has been developed to convert interval neutrosophic numbers into simplified neutrosophic numbers. Finally, an illustrative example is provided, and a comparative analysis is conducted between the approach developed in this paper and other existing methods, to verify the feasibility and effectiveness of the proposed approach.
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