Simplified Neutrosophic Sets Based on Interval Dependent Degree for Multi-Criteria Group Decision-Making Problems
1
Department of Computer and Data Engineering, Zhejiang University Ningbo Institute of Technology, Ningbo 315000, China
2
Research Institute of Extenics and Innovation Methods, Guangdong University of Technology, Guangzhou 510000, China
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(11), 640; https://doi.org/10.3390/sym10110640
Received: 23 October 2018 / Revised: 8 November 2018 / Accepted: 12 November 2018 / Published: 15 November 2018
(This article belongs to the Special Issue Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets)
In this paper, a new approach and framework based on the interval dependent degree for multi-criteria group decision-making (MCGDM) problems with simplified neutrosophic sets (SNSs) is proposed. Firstly, the simplified dependent function and distribution function are defined. Then, they are integrated into the interval dependent function which contains interval computing and distribution information of the intervals. Subsequently, the interval transformation operator is defined to convert simplified neutrosophic numbers (SNNs) into intervals, and then the interval dependent function for SNNs is deduced. Finally, an example is provided to verify the feasibility and effectiveness of the proposed method, together with its comparative analysis. In addition, uncertainty analysis, which can reflect the dynamic change of the final result caused by changes in the decision makers’ preferences, is performed in different distribution function situations. That increases the reliability and accuracy of the result.
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Keywords:
simplified neutrosophic sets (SNSs); interval number; dependent degree; multi-criteria group decision-making (MCGDM)
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MDPI and ACS Style
Xu, L.; Li, X.; Pang, C.; Guo, Y. Simplified Neutrosophic Sets Based on Interval Dependent Degree for Multi-Criteria Group Decision-Making Problems. Symmetry 2018, 10, 640.
AMA Style
Xu L, Li X, Pang C, Guo Y. Simplified Neutrosophic Sets Based on Interval Dependent Degree for Multi-Criteria Group Decision-Making Problems. Symmetry. 2018; 10(11):640.
Chicago/Turabian StyleXu, Libo; Li, Xingsen; Pang, Chaoyi; Guo, Yan. 2018. "Simplified Neutrosophic Sets Based on Interval Dependent Degree for Multi-Criteria Group Decision-Making Problems" Symmetry 10, no. 11: 640.
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