Single-valued neutrosophic ELECTRE II for multi-criteria group decision-making with unknown weight information

This paper develops a novel multi-criteria group decision-making method for resolving single-valued neutrosophic group decision-making problems with unknown weight information. Firstly, considering the different knowledge backgrounds of decision-makers (DMs), two distance-based methods are developed...

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Bibliographic Details
Published in:Computational & applied mathematics 2020-09, Vol.39 (3), Article 224
Main Authors: Tian, Zhang-peng, Nie, Ru-xin, Wang, Xiao-Kang, Wang, Jian-qiang
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied physics
Computational mathematics
Computational Mathematics and Numerical Analysis
Decision making
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Multiple criterion
Sensitivity analysis
Weight
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Summary:This paper develops a novel multi-criteria group decision-making method for resolving single-valued neutrosophic group decision-making problems with unknown weight information. Firstly, considering the different knowledge backgrounds of decision-makers (DMs), two distance-based methods are developed to obtain the weights of DMs and criteria. One of these methods focuses on the closeness between the decision matrix given by an individual DM and that of the group judgment, and the proximity between the decision matrix given by an individual DM and the matrices given by all the other DMs to determine the weights of DMs with respect to each criterion. The other method extends the maximizing deviation method to objectively obtain the weights of criteria. Secondly, an extended ELECTRE (ELimination Et Choix Traduisant la REalité) II is investigated to effectively circumvent the issue that criteria cannot compensate for each other. In this method, three levels of concordance and discordance sets are constructed to fully denote the underlying preference information and specify the outranking degrees of alternatives. Finally, two illustrative examples are presented to demonstrate the feasibility of the proposed approach, followed by a sensitivity analysis and a comparative analysis to test its robustness and effectiveness.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-020-01232-5