Multi-objective Production Planning Problem: Interval-valued Trapezoidal Neutrosophic and Multi-Choice Parameters
An intuitionistic multi-objective programming problem with interval-valued trapezoidal neutrosophic (IVTN) and multi-choice interval type has been considered in this paper. The coefficients of objective functions and parameters of the left side of the constraints are in the multi-choice environment,...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2022-06-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/MultiobjectiveProductionNeutrosophic12.pdf |
| _version_ | 1797986041133531136 |
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| author | Ahteshamul Haq Mohd Arif Khan Aquil Ahmed |
| author_facet | Ahteshamul Haq Mohd Arif Khan Aquil Ahmed |
| author_sort | Ahteshamul Haq |
| collection | DOAJ |
| description | An intuitionistic multi-objective programming problem with interval-valued trapezoidal neutrosophic (IVTN) and multi-choice interval type has been considered in this paper. The coefficients of objective functions and parameters of the left side of the constraints are in the multi-choice environment, and the right-hand side of the constraints are in the IVTN number type. The formulated problem's multi-choice parameters were transformed into the deterministic form using the binary variable transformation technique. A procedure is defined to change the IVTN number into the deterministic form. Then, intuitionistic fuzzy programming (IFP) with two different scalarization models has been used to achieve each membership goal's highest degree and obtain a satisfactory decision-making solution. Finally, a numerical case study for production planning (PP) is explored to validate the work's efficiency and usefulness. |
| first_indexed | 2024-04-11T07:26:50Z |
| format | Article |
| id | doaj.art-b87f35f88d704241830cf7a5e5c9d6f2 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-11T07:26:50Z |
| publishDate | 2022-06-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-b87f35f88d704241830cf7a5e5c9d6f22022-12-22T04:37:02ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2022-06-015020822410.5281/zenodo.6774773Multi-objective Production Planning Problem: Interval-valued Trapezoidal Neutrosophic and Multi-Choice ParametersAhteshamul HaqMohd Arif KhanAquil AhmedAn intuitionistic multi-objective programming problem with interval-valued trapezoidal neutrosophic (IVTN) and multi-choice interval type has been considered in this paper. The coefficients of objective functions and parameters of the left side of the constraints are in the multi-choice environment, and the right-hand side of the constraints are in the IVTN number type. The formulated problem's multi-choice parameters were transformed into the deterministic form using the binary variable transformation technique. A procedure is defined to change the IVTN number into the deterministic form. Then, intuitionistic fuzzy programming (IFP) with two different scalarization models has been used to achieve each membership goal's highest degree and obtain a satisfactory decision-making solution. Finally, a numerical case study for production planning (PP) is explored to validate the work's efficiency and usefulness.http://fs.unm.edu/NSS/MultiobjectiveProductionNeutrosophic12.pdfmulti-objective programmingmulti-choiceinterval-valued trapezoidal neutrosophic numberintuitionistic fuzzy programming |
| spellingShingle | Ahteshamul Haq Mohd Arif Khan Aquil Ahmed Multi-objective Production Planning Problem: Interval-valued Trapezoidal Neutrosophic and Multi-Choice Parameters Neutrosophic Sets and Systems multi-objective programming multi-choice interval-valued trapezoidal neutrosophic number intuitionistic fuzzy programming |
| title | Multi-objective Production Planning Problem: Interval-valued Trapezoidal Neutrosophic and Multi-Choice Parameters |
| title_full | Multi-objective Production Planning Problem: Interval-valued Trapezoidal Neutrosophic and Multi-Choice Parameters |
| title_fullStr | Multi-objective Production Planning Problem: Interval-valued Trapezoidal Neutrosophic and Multi-Choice Parameters |
| title_full_unstemmed | Multi-objective Production Planning Problem: Interval-valued Trapezoidal Neutrosophic and Multi-Choice Parameters |
| title_short | Multi-objective Production Planning Problem: Interval-valued Trapezoidal Neutrosophic and Multi-Choice Parameters |
| title_sort | multi objective production planning problem interval valued trapezoidal neutrosophic and multi choice parameters |
| topic | multi-objective programming multi-choice interval-valued trapezoidal neutrosophic number intuitionistic fuzzy programming |
| url | http://fs.unm.edu/NSS/MultiobjectiveProductionNeutrosophic12.pdf |
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