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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.
Acknowledgements
The authors thank the editors and anonymous reviewers for their helpful comments and suggestions.
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No potential conflict of interest was reported by the authors.
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Notes on contributors
Zhang-peng Tian
Zhang-peng Tian received his BS degree in electronic commerce from Tianjin Chengjian University, Tianjin, China, in 2012. He is currently working towards the MS degree with the Business School, Central South University, Changsha, China.
Hong-yu Zhang
Hong-yu Zhang received her MS degree in computer software and theory and PhD degree in management science and engineering from Central South University, Changsha, China, in 2005 and 2009, respectively. She is currently an associate professor with the Business School, Central South University. Her research interests include information management and its applications in production operations. Her current research focuses on remanufacturing production management and decision-making theory.
Jing Wang
Jing Wang received her MSc degree in information engineering from the University of Osnabrueck, Osnabrueck, Germany, in 2006. She is currently working towards the PhD degree with the Business School, Central South University, Changsha, China. She is also a lecturer with International College, Central South University of Forestry and Technology. Her current research interests include decision-making theory and application, risk management and control, and information management.
Jian-qiang Wang
Jian-qiang Wang received his PhD degree in management science and engineering from Central South University, Changsha, China, in 2005. He is currently a professor with the Business School, Central South University. His current research interests include decision-making theory and application, risk management and control, and information management.
Xiao-hong Chen
Xiao-hong Chen received her PhD degree in management from the Tokyo University of Technology, Tokyo, Japan, in 1999. She is currently a professor with the Business School, Central South University, Changsha, China. Her current research interests include decision theory and methods, decision support systems, resource-saving, and the environment-friendly society. She has published academic papers in many journals, including Decision Support System and Expert Systems with Applications.