A multi-valued neutrosophic qualitative flexible approach based on likelihood for multi-criteria decision-making problems. Issue 2 (25th January 2017)

• Record Type: Journal Article
• Authors: Peng, Juan-juan; Wang, Jian-qiang; Yang, Wu-E
• Is Part Of: International journal of systems science. Volume 48:Issue 2(2017)
• Page Start: 425
• Page End: 435
• Publication Date: 2017-01-25
• Subjects: Multi-valued neutrosophic sets -- multi-criteria decision-making -- likelihood -- QUALIFLEX; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2016.1218975
• Languages: English
• ISSNs: 0020-7721

Abstract

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.