A novel lexicographical-based method for trapezoidal neutrosophic linear programming problem
The aim of this paper is to introduce a simplified presentation of a new computing procedure for solving trapezoidal neutrosophic linear programming (TrNLP) problem under uncertainties. Therefore, we firstly define the concept of single valued neutrosophic (SVN) numbers and ranking functions. A new...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2021-10-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/NovelLexicographicalMethod12.pdf |
| _version_ | 1797985858179039232 |
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| author | Sapan Kumar Das S. A. Edalatpanah Jatindra Kumar Dash |
| author_facet | Sapan Kumar Das S. A. Edalatpanah Jatindra Kumar Dash |
| author_sort | Sapan Kumar Das |
| collection | DOAJ |
| description | The aim of this paper is to introduce a simplified presentation of a new computing procedure for solving trapezoidal neutrosophic linear programming (TrNLP) problem under uncertainties. Therefore, we firstly define the concept of single valued neutrosophic (SVN) numbers and ranking functions. A new strategy is planned for solving the NLP problem without any ranking function. The planned strategy is depends on multi-objective LP (MOLP) issue and lexicographic order (LO). By following the means of planned strategy, the problem is changed into crisp LP (CLP) problem. In addition to this, a theoretical analysis is provided. Numerical examples are illustrated the proposed method and the consequences are in contrast with the distinct choice methods. The outcome shows that the proposed technique defeats the deficiencies and constraints of the existing method. |
| first_indexed | 2024-04-11T07:23:40Z |
| format | Article |
| id | doaj.art-d219ef8791c1455b822ae132f9088b0d |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-11T07:23:40Z |
| publishDate | 2021-10-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-d219ef8791c1455b822ae132f9088b0d2022-12-22T04:37:07ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-10-014615117910.5281/zenodo.5553506A novel lexicographical-based method for trapezoidal neutrosophic linear programming problemSapan Kumar DasS. A. EdalatpanahJatindra Kumar DashThe aim of this paper is to introduce a simplified presentation of a new computing procedure for solving trapezoidal neutrosophic linear programming (TrNLP) problem under uncertainties. Therefore, we firstly define the concept of single valued neutrosophic (SVN) numbers and ranking functions. A new strategy is planned for solving the NLP problem without any ranking function. The planned strategy is depends on multi-objective LP (MOLP) issue and lexicographic order (LO). By following the means of planned strategy, the problem is changed into crisp LP (CLP) problem. In addition to this, a theoretical analysis is provided. Numerical examples are illustrated the proposed method and the consequences are in contrast with the distinct choice methods. The outcome shows that the proposed technique defeats the deficiencies and constraints of the existing method. http://fs.unm.edu/NSS/NovelLexicographicalMethod12.pdfneutrosophic trapezoidal numberslexicographic methodlinear programmingmulti-objective linear programming |
| spellingShingle | Sapan Kumar Das S. A. Edalatpanah Jatindra Kumar Dash A novel lexicographical-based method for trapezoidal neutrosophic linear programming problem Neutrosophic Sets and Systems neutrosophic trapezoidal numbers lexicographic method linear programming multi-objective linear programming |
| title | A novel lexicographical-based method for trapezoidal neutrosophic linear programming problem |
| title_full | A novel lexicographical-based method for trapezoidal neutrosophic linear programming problem |
| title_fullStr | A novel lexicographical-based method for trapezoidal neutrosophic linear programming problem |
| title_full_unstemmed | A novel lexicographical-based method for trapezoidal neutrosophic linear programming problem |
| title_short | A novel lexicographical-based method for trapezoidal neutrosophic linear programming problem |
| title_sort | novel lexicographical based method for trapezoidal neutrosophic linear programming problem |
| topic | neutrosophic trapezoidal numbers lexicographic method linear programming multi-objective linear programming |
| url | http://fs.unm.edu/NSS/NovelLexicographicalMethod12.pdf |
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