A nonlinear model to solve multiple attribute decision-making problems with interval-valued neutrosophic numbers
Linguistic variables (LVs) provide a reliable expression of cognitive information. By inheriting the advantages of LVs, we can express uncertain and incomplete cognitive information in multiple attribute decision-making (MADM), and they do so better than existing methods. In the decision-making pro...
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| Format: | Article |
| Language: | English |
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Iran University of Science & Technology
2024-12-01
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| Series: | International Journal of Industrial Engineering and Production Research |
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| Online Access: | http://ijiepr.iust.ac.ir/article-1-2094-en.pdf |
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| author | Maryam Arshi Abdollah Hadi-Vencheh Adel Aazami Ali Jamshidi |
| author_facet | Maryam Arshi Abdollah Hadi-Vencheh Adel Aazami Ali Jamshidi |
| author_sort | Maryam Arshi |
| collection | DOAJ |
| description | Linguistic variables (LVs) provide a reliable expression of cognitive information. By inheriting the advantages of LVs, we can express uncertain and incomplete cognitive information in multiple attribute decision-making (MADM), and they do so better than existing methods. In the decision-making process, we can consider decision experts’ (DEs’) bounded rationality, such as cognition toward loss caused by the DEs’ cognitive limitations during the decision process. Therefore, it is necessary to propose a novel cognitive decision approach to handle MADM problems in which the cognitive information is expressed by LVs. In this paper, we employ LVs to represent uncertain and hesitant cognitive information. Then, we propose a mathematical programming approach to solve the MADM problems where attributes or cognitive preferences are not independent. Moreover, the validity and superiority of the presented approach are verified by dealing with a practical problem. |
| format | Article |
| id | doaj-art-a637cfe31b3e447d8cc17a8987d204f2 |
| institution | OA Journals |
| issn | 2008-4889 2345-363X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Iran University of Science & Technology |
| record_format | Article |
| series | International Journal of Industrial Engineering and Production Research |
| spelling | doaj-art-a637cfe31b3e447d8cc17a8987d204f22025-08-20T02:23:08ZengIran University of Science & TechnologyInternational Journal of Industrial Engineering and Production Research2008-48892345-363X2024-12-013546074A nonlinear model to solve multiple attribute decision-making problems with interval-valued neutrosophic numbersMaryam Arshi0Abdollah Hadi-Vencheh1Adel Aazami2Ali Jamshidi3 Department of Mathematics, Najafabad Branch, Islamic Azad University, Isfahan, Iran Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran Department of Global Business and Trade, Institute for Transport and Logistics Management, Vienna University of Economics and Business, Vienna, Austria Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran Linguistic variables (LVs) provide a reliable expression of cognitive information. By inheriting the advantages of LVs, we can express uncertain and incomplete cognitive information in multiple attribute decision-making (MADM), and they do so better than existing methods. In the decision-making process, we can consider decision experts’ (DEs’) bounded rationality, such as cognition toward loss caused by the DEs’ cognitive limitations during the decision process. Therefore, it is necessary to propose a novel cognitive decision approach to handle MADM problems in which the cognitive information is expressed by LVs. In this paper, we employ LVs to represent uncertain and hesitant cognitive information. Then, we propose a mathematical programming approach to solve the MADM problems where attributes or cognitive preferences are not independent. Moreover, the validity and superiority of the presented approach are verified by dealing with a practical problem.http://ijiepr.iust.ac.ir/article-1-2094-en.pdfmultiple attribute group decision making (magdm)interval-valued neutrosophic number (ivnn)non-linear programmingvariable transformationaggregation operators |
| spellingShingle | Maryam Arshi Abdollah Hadi-Vencheh Adel Aazami Ali Jamshidi A nonlinear model to solve multiple attribute decision-making problems with interval-valued neutrosophic numbers International Journal of Industrial Engineering and Production Research multiple attribute group decision making (magdm) interval-valued neutrosophic number (ivnn) non-linear programming variable transformation aggregation operators |
| title | A nonlinear model to solve multiple attribute decision-making problems with interval-valued neutrosophic numbers |
| title_full | A nonlinear model to solve multiple attribute decision-making problems with interval-valued neutrosophic numbers |
| title_fullStr | A nonlinear model to solve multiple attribute decision-making problems with interval-valued neutrosophic numbers |
| title_full_unstemmed | A nonlinear model to solve multiple attribute decision-making problems with interval-valued neutrosophic numbers |
| title_short | A nonlinear model to solve multiple attribute decision-making problems with interval-valued neutrosophic numbers |
| title_sort | nonlinear model to solve multiple attribute decision making problems with interval valued neutrosophic numbers |
| topic | multiple attribute group decision making (magdm) interval-valued neutrosophic number (ivnn) non-linear programming variable transformation aggregation operators |
| url | http://ijiepr.iust.ac.ir/article-1-2094-en.pdf |
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