ABSTRACT
In this paper, multi-criteria decision-making (MCDM) problems based on the qualitative flexible multiple criteria method (QUALIFLEX), in which the criteria values are expressed by multi-valued neutrosophic information, are investigated. First, multi-valued neutrosophic sets (MVNSs), which allow the truth-membership function, indeterminacy-membership function and falsity-membership function to have a set of crisp values between zero and one, are introduced. Then the likelihood of multi-valued neutrosophic number (MVNN) preference relations is defined and the corresponding properties are also discussed. Finally, an extended QUALIFLEX approach based on likelihood is explored to solve MCDM problems where the assessments of alternatives are in the form of MVNNs; furthermore an example is provided to illustrate the application of the proposed method, together with a comparison analysis.
Acknowledgment
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
Juan-juan Peng
Juan-juan Peng received her Ph.D. degree in Management Science and Engineering from Central South University, Changsha, China, in 2015. She is a lecturer in School of Economics and Management, Hubei University of Automotive Technology, China. Her current research focuses on decision-making theory and application and information management.
Jian-qiang Wang
Jian-qiang Wang received his Ph.D. degree in Management Science and Engineering from Central South University, Changsha, China, in 2005. He is currently a professor in Business School, Central South University. His current research interests include decision-making theory and application, risk management and control, and information management.
Wu-E Yang
Wu-E Yang received his Ph.D. degree in Management Science and Engineering from Central South University, Changsha, China, in 2013. He is currently a professor in Economics College, Central South University of Forestry and Technology, China. His current research focuses on decision-making theory and information management.