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The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic Numbers

Department of Mathematics, Nanchang University, Nanchang 330031, China
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Symmetry 2019, 11(7), 888; https://doi.org/10.3390/sym11070888
Received: 20 June 2019 / Revised: 4 July 2019 / Accepted: 5 July 2019 / Published: 8 July 2019
(This article belongs to the Special Issue Multi-Criteria Decision Aid methods in fuzzy decision problems)
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Abstract

Three-way decisions, as a decision-making mode which is consistent with human cognition, have been widely used in various fields. In this paper, we fuse the theory of reliability into the three-way decisions method, replace the conditional probability in the three-way decisions method with reliability, and then propose a novel three-way decisions method. We also describe the loss functions with single-valued triangular neutrosophic numbers (SVTNNs) and propose an operator to calculate the score function of triangular neutrosophic numbers. Then, the result of decision is attained according to the principle of minimizing loss. Finally, we apply this method to the overhaul of machines in a factory, which proves the practicability and effectiveness of the proposed methods. View Full-Text
Keywords: three-way decisions; theory of reliability; single-valued triangular neutrosophic numbers (SVTNNs); loss functions three-way decisions; theory of reliability; single-valued triangular neutrosophic numbers (SVTNNs); loss functions
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Li, X.; Huang, X. The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic Numbers. Symmetry 2019, 11, 888.

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