A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers
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 d...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-11-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/10/11/590 |
| _version_ | 1798006509306642432 |
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| author | Xiaohui Wu Jie Qian Juanjuan Peng Changchun Xue |
| author_facet | Xiaohui Wu Jie Qian Juanjuan Peng Changchun Xue |
| author_sort | Xiaohui Wu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T12:56:01Z |
| format | Article |
| id | doaj.art-5e09a0ea8b2848b591d2857d27490dbe |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T12:56:01Z |
| publishDate | 2018-11-01 |
| publisher | MDPI AG |
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| series | Symmetry |
| spelling | doaj.art-5e09a0ea8b2848b591d2857d27490dbe2022-12-22T04:23:04ZengMDPI AGSymmetry2073-89942018-11-01101159010.3390/sym10110590sym10110590A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic NumbersXiaohui Wu0Jie Qian1Juanjuan Peng2Changchun Xue3Institute of Big Data Intelligent Decision-Making, Hubei University of Automotive Technology, Shiyan 442002, ChinaInstitute of Big Data Intelligent Decision-Making, Hubei University of Automotive Technology, Shiyan 442002, ChinaInstitute of Big Data Intelligent Decision-Making, Hubei University of Automotive Technology, Shiyan 442002, ChinaInstitute of Big Data Intelligent Decision-Making, Hubei University of Automotive Technology, Shiyan 442002, ChinaSingle 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.https://www.mdpi.com/2073-8994/10/11/590single valued trapezoidal neutrosophic numbermulti-criteria group decision makingpossibility degreepower aggregation operators |
| spellingShingle | Xiaohui Wu Jie Qian Juanjuan Peng Changchun Xue A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers Symmetry single valued trapezoidal neutrosophic number multi-criteria group decision making possibility degree power aggregation operators |
| title | A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers |
| title_full | A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers |
| title_fullStr | A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers |
| title_full_unstemmed | A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers |
| title_short | A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers |
| title_sort | multi criteria group decision making method with possibility degree and power aggregation operators of single trapezoidal neutrosophic numbers |
| topic | single valued trapezoidal neutrosophic number multi-criteria group decision making possibility degree power aggregation operators |
| url | https://www.mdpi.com/2073-8994/10/11/590 |
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