A New Approach for Solving Bi-Level Multi-Objective Non-Linear Programming Model under Neutrosophic Environment
Multi-level programming problems (MLPPs) are considered very large decentralized decision problems, occur in hierarchical decision-making organizations where a decision maker (DM) is present at each decision-making level and is assigned the task of optimizing one or more objective functions. In this...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2021-12-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | http://fs.unm.edu/NSS/LinearProgrammingModel15.pdf |
| _version_ | 1811250813452943360 |
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| author | Azza H. Amer Mahmoud A. Abo-Sinna |
| author_facet | Azza H. Amer Mahmoud A. Abo-Sinna |
| author_sort | Azza H. Amer |
| collection | DOAJ |
| description | Multi-level programming problems (MLPPs) are considered very large decentralized decision problems, occur in hierarchical decision-making organizations where a decision maker (DM) is present at each decision-making level and is assigned the task of optimizing one or more objective functions. In this paper, a new computational algorithm using neutrosophic technique to solve bi-level multi-objective non-linear programming (BL-MONLP) problem is presented. Neutrosophic set theory is played an important role for dealing the inaccuracy and complexity of data found in solving real life problems. We compared also the performance of the optimal solution between fuzzy and neutrosophic optimization techniques through numerical example which has demonstrated the evolved algorithm. |
| first_indexed | 2024-04-12T16:10:20Z |
| format | Article |
| id | doaj.art-d91686cad02b499abc5c5d52a3eae613 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-12T16:10:20Z |
| publishDate | 2021-12-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-d91686cad02b499abc5c5d52a3eae6132022-12-22T03:25:56ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-12-014722423910.5281/zenodo.5775124A New Approach for Solving Bi-Level Multi-Objective Non-Linear Programming Model under Neutrosophic EnvironmentAzza H. AmerMahmoud A. Abo-SinnaMulti-level programming problems (MLPPs) are considered very large decentralized decision problems, occur in hierarchical decision-making organizations where a decision maker (DM) is present at each decision-making level and is assigned the task of optimizing one or more objective functions. In this paper, a new computational algorithm using neutrosophic technique to solve bi-level multi-objective non-linear programming (BL-MONLP) problem is presented. Neutrosophic set theory is played an important role for dealing the inaccuracy and complexity of data found in solving real life problems. We compared also the performance of the optimal solution between fuzzy and neutrosophic optimization techniques through numerical example which has demonstrated the evolved algorithm.http://fs.unm.edu/NSS/LinearProgrammingModel15.pdfmulti-level programming with multiple objectivesnon-linear programming problemsfuzzy programming; neutrosophtic setsatisfactory solution |
| spellingShingle | Azza H. Amer Mahmoud A. Abo-Sinna A New Approach for Solving Bi-Level Multi-Objective Non-Linear Programming Model under Neutrosophic Environment Neutrosophic Sets and Systems multi-level programming with multiple objectives non-linear programming problems fuzzy programming; neutrosophtic set satisfactory solution |
| title | A New Approach for Solving Bi-Level Multi-Objective Non-Linear Programming Model under Neutrosophic Environment |
| title_full | A New Approach for Solving Bi-Level Multi-Objective Non-Linear Programming Model under Neutrosophic Environment |
| title_fullStr | A New Approach for Solving Bi-Level Multi-Objective Non-Linear Programming Model under Neutrosophic Environment |
| title_full_unstemmed | A New Approach for Solving Bi-Level Multi-Objective Non-Linear Programming Model under Neutrosophic Environment |
| title_short | A New Approach for Solving Bi-Level Multi-Objective Non-Linear Programming Model under Neutrosophic Environment |
| title_sort | new approach for solving bi level multi objective non linear programming model under neutrosophic environment |
| topic | multi-level programming with multiple objectives non-linear programming problems fuzzy programming; neutrosophtic set satisfactory solution |
| url | http://fs.unm.edu/NSS/LinearProgrammingModel15.pdf |
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