Integrated Weighted Distance Measure for Single-Valued Neutrosophic Linguistic Sets and Its Application in Supplier Selection
The purpose of this study is to propose an integrated distance-based methodology for multiple attribute group decision making (MAGDM) within single-valued neutrosophic linguistic (SVNL) environments. A new SVNL distance measure, namely the SVNL integrated weighted distance (SVNLIWD) measure, is firs...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6468721 |
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| author | Erhua Zhang Fan Chen Shouzhen Zeng |
| author_facet | Erhua Zhang Fan Chen Shouzhen Zeng |
| author_sort | Erhua Zhang |
| collection | DOAJ |
| description | The purpose of this study is to propose an integrated distance-based methodology for multiple attribute group decision making (MAGDM) within single-valued neutrosophic linguistic (SVNL) environments. A new SVNL distance measure, namely the SVNL integrated weighted distance (SVNLIWD) measure, is first developed for achieving the aim. The remarkable feature of the SVNLIWD is that it integrates both merits of ordered weighting and average weighting into aggregating SVNL distances; therefore, it can account for both the importance of aggregated deviations as well as ordered positions. Thus, it can highlight the decision makers’ subjective risk attitudes and combine the importance of objective decision information. Some distinctive characteristics and special forms of the presented distance framework are then specifically studied. Moreover, a MAGDM model on the basis of the proposed SVNLIWD form is formulated. Finally, an illustrative numerical case regarding selecting low-carbon supplier is used to test the performance of the designed method. |
| format | Article |
| id | doaj-art-4f6959e74a0a4553b2180da83abfca2f |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-4f6959e74a0a4553b2180da83abfca2f2025-02-03T06:46:32ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/64687216468721Integrated Weighted Distance Measure for Single-Valued Neutrosophic Linguistic Sets and Its Application in Supplier SelectionErhua Zhang0Fan Chen1Shouzhen Zeng2School of Business, Ningbo University, Ningbo 315211, ChinaSchool of Business, Ningbo University, Ningbo 315211, ChinaSchool of Business, Ningbo University, Ningbo 315211, ChinaThe purpose of this study is to propose an integrated distance-based methodology for multiple attribute group decision making (MAGDM) within single-valued neutrosophic linguistic (SVNL) environments. A new SVNL distance measure, namely the SVNL integrated weighted distance (SVNLIWD) measure, is first developed for achieving the aim. The remarkable feature of the SVNLIWD is that it integrates both merits of ordered weighting and average weighting into aggregating SVNL distances; therefore, it can account for both the importance of aggregated deviations as well as ordered positions. Thus, it can highlight the decision makers’ subjective risk attitudes and combine the importance of objective decision information. Some distinctive characteristics and special forms of the presented distance framework are then specifically studied. Moreover, a MAGDM model on the basis of the proposed SVNLIWD form is formulated. Finally, an illustrative numerical case regarding selecting low-carbon supplier is used to test the performance of the designed method.http://dx.doi.org/10.1155/2020/6468721 |
| spellingShingle | Erhua Zhang Fan Chen Shouzhen Zeng Integrated Weighted Distance Measure for Single-Valued Neutrosophic Linguistic Sets and Its Application in Supplier Selection Journal of Mathematics |
| title | Integrated Weighted Distance Measure for Single-Valued Neutrosophic Linguistic Sets and Its Application in Supplier Selection |
| title_full | Integrated Weighted Distance Measure for Single-Valued Neutrosophic Linguistic Sets and Its Application in Supplier Selection |
| title_fullStr | Integrated Weighted Distance Measure for Single-Valued Neutrosophic Linguistic Sets and Its Application in Supplier Selection |
| title_full_unstemmed | Integrated Weighted Distance Measure for Single-Valued Neutrosophic Linguistic Sets and Its Application in Supplier Selection |
| title_short | Integrated Weighted Distance Measure for Single-Valued Neutrosophic Linguistic Sets and Its Application in Supplier Selection |
| title_sort | integrated weighted distance measure for single valued neutrosophic linguistic sets and its application in supplier selection |
| url | http://dx.doi.org/10.1155/2020/6468721 |
| work_keys_str_mv | AT erhuazhang integratedweighteddistancemeasureforsinglevaluedneutrosophiclinguisticsetsanditsapplicationinsupplierselection AT fanchen integratedweighteddistancemeasureforsinglevaluedneutrosophiclinguisticsetsanditsapplicationinsupplierselection AT shouzhenzeng integratedweighteddistancemeasureforsinglevaluedneutrosophiclinguisticsetsanditsapplicationinsupplierselection |