Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets
International Journal of Systems SciencePublished 29 October 2015Open access
Zhang‐peng Tian, Hong‐yu Zhang, Jing Wang, Jing Wang, Jian‐qiang Wang, Jian‐qiang Wang
Citations133
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TL;DR
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.
Abstract
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.
Keywords
Decision SciencesMathematicsEngineering
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