Neutrosophic Number Optimization Models and Their Application in the Practical Production Process
In order to simplify the complex calculation and solve the difficult solution problems of neutrosophic number optimization models (NNOMs) in the practical production process, this paper presents two methods to solve NNOMs, where Matlab built-in function “fmincon()” and neutrosophic number operations...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6668711 |
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| _version_ | 1832560140338855936 |
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| author | Angyan Tu Jun Ye Bing Wang |
| author_facet | Angyan Tu Jun Ye Bing Wang |
| author_sort | Angyan Tu |
| collection | DOAJ |
| description | In order to simplify the complex calculation and solve the difficult solution problems of neutrosophic number optimization models (NNOMs) in the practical production process, this paper presents two methods to solve NNOMs, where Matlab built-in function “fmincon()” and neutrosophic number operations (NNOs) are used in indeterminate environments. Next, the two methods are applied to linear and nonlinear programming problems with neutrosophic number information to obtain the optimal solution of the maximum/minimum objective function under the constrained conditions of practical productions by neutrosophic number optimization programming (NNOP) examples. Finally, under indeterminate environments, the fit optimal solutions of the examples can also be achieved by using some specified indeterminate scales to fulfill some specified actual requirements. The NNOP methods can obtain the feasible and flexible optimal solutions and indicate the advantage of simple calculations in practical applications. |
| format | Article |
| id | doaj-art-cd31ce90cd19460a9bc683c27eb632ba |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-cd31ce90cd19460a9bc683c27eb632ba2025-02-03T01:28:27ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66687116668711Neutrosophic Number Optimization Models and Their Application in the Practical Production ProcessAngyan Tu0Jun Ye1Bing Wang2School of Mechatronic Engineering and Automation, Shanghai University, 99 Shangda Road, Shanghai 200444, ChinaDepartment of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang 312000, ChinaSchool of Mechatronic Engineering and Automation, Shanghai University, 99 Shangda Road, Shanghai 200444, ChinaIn order to simplify the complex calculation and solve the difficult solution problems of neutrosophic number optimization models (NNOMs) in the practical production process, this paper presents two methods to solve NNOMs, where Matlab built-in function “fmincon()” and neutrosophic number operations (NNOs) are used in indeterminate environments. Next, the two methods are applied to linear and nonlinear programming problems with neutrosophic number information to obtain the optimal solution of the maximum/minimum objective function under the constrained conditions of practical productions by neutrosophic number optimization programming (NNOP) examples. Finally, under indeterminate environments, the fit optimal solutions of the examples can also be achieved by using some specified indeterminate scales to fulfill some specified actual requirements. The NNOP methods can obtain the feasible and flexible optimal solutions and indicate the advantage of simple calculations in practical applications.http://dx.doi.org/10.1155/2021/6668711 |
| spellingShingle | Angyan Tu Jun Ye Bing Wang Neutrosophic Number Optimization Models and Their Application in the Practical Production Process Journal of Mathematics |
| title | Neutrosophic Number Optimization Models and Their Application in the Practical Production Process |
| title_full | Neutrosophic Number Optimization Models and Their Application in the Practical Production Process |
| title_fullStr | Neutrosophic Number Optimization Models and Their Application in the Practical Production Process |
| title_full_unstemmed | Neutrosophic Number Optimization Models and Their Application in the Practical Production Process |
| title_short | Neutrosophic Number Optimization Models and Their Application in the Practical Production Process |
| title_sort | neutrosophic number optimization models and their application in the practical production process |
| url | http://dx.doi.org/10.1155/2021/6668711 |
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