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Open AccessArticle

A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers

by 1,2,3, 1,2,*, 1,2 and 1,2
1
Institute of Big Data Intelligent Decision-Making, Hubei University of Automotive Technology, Shiyan 442002, China
2
School of Economics and Management, Hubei University of Automotive Technology, Shiyan 442002, China
3
School of Business, Central South University, Changsha 410083, China
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(11), 590; https://doi.org/10.3390/sym10110590
Received: 4 October 2018 / Revised: 26 October 2018 / Accepted: 27 October 2018 / Published: 2 November 2018
Single valued trapezoidal neutrosophic numbers (SVTNNs) are very useful tools for describing complex information, because of their advantage in describing the information completely, accurately and comprehensively for decision-making problems. In the paper, a method based on SVTNNs is proposed for dealing with multi-criteria group decision-making (MCGDM) problems. Firstly, the new operations SVTNNs are developed for avoiding evaluation information aggregation loss and distortion. Then the possibility degrees and comparison of SVTNNs are proposed from the probability viewpoint for ranking and comparing the single valued trapezoidal neutrosophic information reasonably and accurately. Based on the new operations and possibility degrees of SVTNNs, the single valued trapezoidal neutrosophic power average (SVTNPA) and single valued trapezoidal neutrosophic power geometric (SVTNPG) operators are proposed to aggregate the single valued trapezoidal neutrosophic information. Furthermore, based on the developed aggregation operators, a single valued trapezoidal neutrosophic MCGDM method is developed. Finally, the proposed method is applied to solve the practical problem of the most appropriate green supplier selection and the rank results compared with the previous approach demonstrate the proposed method’s effectiveness. View Full-Text
Keywords: single valued trapezoidal neutrosophic number; multi-criteria group decision making; possibility degree; power aggregation operators single valued trapezoidal neutrosophic number; multi-criteria group decision making; possibility degree; power aggregation operators
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MDPI and ACS Style

Wu, X.; Qian, J.; Peng, J.; Xue, C. A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers. Symmetry 2018, 10, 590.

AMA Style

Wu X, Qian J, Peng J, Xue C. A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers. Symmetry. 2018; 10(11):590.

Chicago/Turabian Style

Wu, Xiaohui; Qian, Jie; Peng, Juanjuan; Xue, Changchun. 2018. "A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers" Symmetry 10, no. 11: 590.

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