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Open AccessArticle

An Extended VIKOR Method for Multiple Criteria Group Decision Making with Triangular Fuzzy Neutrosophic Numbers

by , * and *
School of Business, Sichuan Normal University, Chengdu 610101, China
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Authors to whom correspondence should be addressed.
Symmetry 2018, 10(10), 497; https://doi.org/10.3390/sym10100497
Received: 1 August 2018 / Revised: 8 October 2018 / Accepted: 8 October 2018 / Published: 15 October 2018
In this article, we combine the original VIKOR model with a triangular fuzzy neutrosophic set to propose the triangular fuzzy neutrosophic VIKOR method. In the extended method, we use the triangular fuzzy neutrosophic numbers (TFNNs) to present the criteria values in multiple criteria group decision making (MCGDM) problems. Firstly, we summarily introduce the fundamental concepts, operation formulas and distance calculating method of TFNNs. Then we review some aggregation operators of TFNNs. Thereafter, we extend the original VIKOR model to the triangular fuzzy neutrosophic environment and introduce the calculating steps of the TFNNs VIKOR method, our proposed method which is more reasonable and scientific for considering the conflicting criteria. Furthermore, a numerical example for potential evaluation of emerging technology commercialization is presented to illustrate the new method, and some comparisons are also conducted to further illustrate advantages of the new method. View Full-Text
Keywords: MCGDM problems; triangular fuzzy neutrosophic sets (TFNSs); VIKOR model; TFNNs VIKOR method; potential evaluation; emerging technology commercialization MCGDM problems; triangular fuzzy neutrosophic sets (TFNSs); VIKOR model; TFNNs VIKOR method; potential evaluation; emerging technology commercialization
MDPI and ACS Style

Wang, J.; Wei, G.; Lu, M. An Extended VIKOR Method for Multiple Criteria Group Decision Making with Triangular Fuzzy Neutrosophic Numbers. Symmetry 2018, 10, 497.

AMA Style

Wang J, Wei G, Lu M. An Extended VIKOR Method for Multiple Criteria Group Decision Making with Triangular Fuzzy Neutrosophic Numbers. Symmetry. 2018; 10(10):497.

Chicago/Turabian Style

Wang, Jie; Wei, Guiwu; Lu, Mao. 2018. "An Extended VIKOR Method for Multiple Criteria Group Decision Making with Triangular Fuzzy Neutrosophic Numbers" Symmetry 10, no. 10: 497.

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