The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic Numbers
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 reliabili...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-07-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/11/7/888 |
| _version_ | 1798006561349566464 |
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| author | Xiang Li Xianjiu Huang |
| author_facet | Xiang Li Xianjiu Huang |
| author_sort | Xiang Li |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T12:56:41Z |
| format | Article |
| id | doaj.art-f8abf4467ebf405fae727c87963eb579 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T12:56:41Z |
| publishDate | 2019-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-f8abf4467ebf405fae727c87963eb5792022-12-22T04:23:03ZengMDPI AGSymmetry2073-89942019-07-0111788810.3390/sym11070888sym11070888The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic NumbersXiang Li0Xianjiu Huang1Department of Mathematics, Nanchang University, Nanchang 330031, ChinaDepartment of Mathematics, Nanchang University, Nanchang 330031, ChinaThree-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.https://www.mdpi.com/2073-8994/11/7/888three-way decisionstheory of reliabilitysingle-valued triangular neutrosophic numbers (SVTNNs)loss functions |
| spellingShingle | Xiang Li Xianjiu Huang The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic Numbers Symmetry three-way decisions theory of reliability single-valued triangular neutrosophic numbers (SVTNNs) loss functions |
| title | The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic Numbers |
| title_full | The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic Numbers |
| title_fullStr | The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic Numbers |
| title_full_unstemmed | The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic Numbers |
| title_short | The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic Numbers |
| title_sort | three way decisions method based on theory of reliability with sv triangular neutrosophic numbers |
| topic | three-way decisions theory of reliability single-valued triangular neutrosophic numbers (SVTNNs) loss functions |
| url | https://www.mdpi.com/2073-8994/11/7/888 |
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