Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 48, Issue 2, Pages 425-435Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2016.1218975
Keywords
Multi-valued neutrosophic sets; multi-criteria decision-making; likelihood; QUALIFLEX
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Funding
- National Natural Science Foundation of China [71571193, 71401185]
- Humanities and Social Sciences Youth Foundation of Ministry of Education of China [15YJCZH127]
- Science Foundation for Doctors of Hubei University of Automotive Technology [BK201405]
- Humanities and Social Science Foundation of Hubei Province [15Q130]
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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.
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