Method for Pythagorean Interval 2-Tuple Linguistic Multiattribute Group Decision Making and Its Application to the Ship Navigation Environment Safety Assessment
In this paper, some fundamental theories of the Pythagorean interval 2-tuple linguistic numbers (PI2TLNs) combined with the EDAS (evaluation based on distance from average solution) method are proposed. Firstly, we introduced the original concepts of Pythagorean interval 2-tuple linguistic sets (PI2...
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Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/6881900 |
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| author | Fuchun Yuan |
| author_facet | Fuchun Yuan |
| author_sort | Fuchun Yuan |
| collection | DOAJ |
| description | In this paper, some fundamental theories of the Pythagorean interval 2-tuple linguistic numbers (PI2TLNs) combined with the EDAS (evaluation based on distance from average solution) method are proposed. Firstly, we introduced the original concepts of Pythagorean interval 2-tuple linguistic sets (PI2TLSs), and two aggregation operators of PI2TLN were also introduced. Then, the steps of the EDAS method were described briefly. Moreover, the PI2TLN-EDAS model was provided to address the multiattribute group decision-making (MAGDM) problem, and calculation steps were deduced in detail. The effectiveness of the method was illustrated by taking the ship navigation environment safety assessment as an example. Finally, we conducted comparative analysis between PI2TLN-EDAS method and Pythagorean interval 2-tuple linguistic weighted averaging (PI2TLWA) operator/Pythagorean interval 2-tuple linguistic weighted geometric (PI2TLWG) operator. |
| format | Article |
| id | doaj-art-d85e5b0ba9864db3af79039cbcd6d260 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d85e5b0ba9864db3af79039cbcd6d2602025-02-03T01:07:16ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/6881900Method for Pythagorean Interval 2-Tuple Linguistic Multiattribute Group Decision Making and Its Application to the Ship Navigation Environment Safety AssessmentFuchun Yuan0Faculty of Transportation EngineeringIn this paper, some fundamental theories of the Pythagorean interval 2-tuple linguistic numbers (PI2TLNs) combined with the EDAS (evaluation based on distance from average solution) method are proposed. Firstly, we introduced the original concepts of Pythagorean interval 2-tuple linguistic sets (PI2TLSs), and two aggregation operators of PI2TLN were also introduced. Then, the steps of the EDAS method were described briefly. Moreover, the PI2TLN-EDAS model was provided to address the multiattribute group decision-making (MAGDM) problem, and calculation steps were deduced in detail. The effectiveness of the method was illustrated by taking the ship navigation environment safety assessment as an example. Finally, we conducted comparative analysis between PI2TLN-EDAS method and Pythagorean interval 2-tuple linguistic weighted averaging (PI2TLWA) operator/Pythagorean interval 2-tuple linguistic weighted geometric (PI2TLWG) operator.http://dx.doi.org/10.1155/2022/6881900 |
| spellingShingle | Fuchun Yuan Method for Pythagorean Interval 2-Tuple Linguistic Multiattribute Group Decision Making and Its Application to the Ship Navigation Environment Safety Assessment Discrete Dynamics in Nature and Society |
| title | Method for Pythagorean Interval 2-Tuple Linguistic Multiattribute Group Decision Making and Its Application to the Ship Navigation Environment Safety Assessment |
| title_full | Method for Pythagorean Interval 2-Tuple Linguistic Multiattribute Group Decision Making and Its Application to the Ship Navigation Environment Safety Assessment |
| title_fullStr | Method for Pythagorean Interval 2-Tuple Linguistic Multiattribute Group Decision Making and Its Application to the Ship Navigation Environment Safety Assessment |
| title_full_unstemmed | Method for Pythagorean Interval 2-Tuple Linguistic Multiattribute Group Decision Making and Its Application to the Ship Navigation Environment Safety Assessment |
| title_short | Method for Pythagorean Interval 2-Tuple Linguistic Multiattribute Group Decision Making and Its Application to the Ship Navigation Environment Safety Assessment |
| title_sort | method for pythagorean interval 2 tuple linguistic multiattribute group decision making and its application to the ship navigation environment safety assessment |
| url | http://dx.doi.org/10.1155/2022/6881900 |
| work_keys_str_mv | AT fuchunyuan methodforpythagoreaninterval2tuplelinguisticmultiattributegroupdecisionmakinganditsapplicationtotheshipnavigationenvironmentsafetyassessment |