Fuzzy Programming Approach to Solve Multi-Objective Fully Fuzzy Transportation Problem
The aim of this study is presenting the solution methodology of multi-objective fuzzy transportation problem with fuzzy decision variables, where all the input parameters and decisions variables of the programming problems are assumed to be triangular fuzzy number and triangular fuzzy decision vari...
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| Format: | Article |
| Language: | English |
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Hawassa University
2023-12-01
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| Series: | East African Journal of Biophysical and Computational Sciences |
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| Online Access: | https://www.Ajol.Info/index.php/eajbcs/article/view/261125 |
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| author | Admasu Tadesse Sirkumar Acharya Berhanu Belay |
| author_facet | Admasu Tadesse Sirkumar Acharya Berhanu Belay |
| author_sort | Admasu Tadesse |
| collection | DOAJ |
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The aim of this study is presenting the solution methodology of multi-objective fuzzy transportation problem with fuzzy decision variables, where all the input parameters and decisions variables of the programming problems are assumed to be triangular fuzzy number and triangular fuzzy decision variables respectively. Moreover the objectives under considerations are minimization of cost of transportation and minimization of shipping time under fuzzy environment. The fuzziness of the objective functions and the fuzzy constraints of the programming problem are defuzzified using the ranking function and the equality property between two fuzzy numbers, respectively. The consequent crisp multi-objective fuzzy transportation problem is tackled by employing fuzzy mathematical programming approach. Finally fuzzy decision is made after solving the resultant mathematical programming problem using LINGO(Schrage and LINDO Systems (1997)) software. Illustrative numerical example is presented in support of the proposed methodology.
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| format | Article |
| id | doaj-art-2c4bc574b9624d8ea4507b553dcb6fe7 |
| institution | Kabale University |
| issn | 2789-360X 2789-3618 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Hawassa University |
| record_format | Article |
| series | East African Journal of Biophysical and Computational Sciences |
| spelling | doaj-art-2c4bc574b9624d8ea4507b553dcb6fe72025-02-08T19:51:00ZengHawassa UniversityEast African Journal of Biophysical and Computational Sciences2789-360X2789-36182023-12-0142Fuzzy Programming Approach to Solve Multi-Objective Fully Fuzzy Transportation ProblemAdmasu Tadesse0Sirkumar Acharya1Berhanu Belay2Department of Mathematics, Hawassa university, EthiopiaDepartment of Mathematics, KIIT University, Bhubaneswar, IndiaDepartment of Mathematics, Debretabor University, Ethiopia The aim of this study is presenting the solution methodology of multi-objective fuzzy transportation problem with fuzzy decision variables, where all the input parameters and decisions variables of the programming problems are assumed to be triangular fuzzy number and triangular fuzzy decision variables respectively. Moreover the objectives under considerations are minimization of cost of transportation and minimization of shipping time under fuzzy environment. The fuzziness of the objective functions and the fuzzy constraints of the programming problem are defuzzified using the ranking function and the equality property between two fuzzy numbers, respectively. The consequent crisp multi-objective fuzzy transportation problem is tackled by employing fuzzy mathematical programming approach. Finally fuzzy decision is made after solving the resultant mathematical programming problem using LINGO(Schrage and LINDO Systems (1997)) software. Illustrative numerical example is presented in support of the proposed methodology. https://www.Ajol.Info/index.php/eajbcs/article/view/261125Multi-Objective Programming; Triangular Fuzzy Number; Fuzzy Transportation Problem; Fuzzy Decision Variables; Ranking Function; Fuzzy Programming Method |
| spellingShingle | Admasu Tadesse Sirkumar Acharya Berhanu Belay Fuzzy Programming Approach to Solve Multi-Objective Fully Fuzzy Transportation Problem East African Journal of Biophysical and Computational Sciences Multi-Objective Programming; Triangular Fuzzy Number; Fuzzy Transportation Problem; Fuzzy Decision Variables; Ranking Function; Fuzzy Programming Method |
| title | Fuzzy Programming Approach to Solve Multi-Objective Fully Fuzzy Transportation Problem |
| title_full | Fuzzy Programming Approach to Solve Multi-Objective Fully Fuzzy Transportation Problem |
| title_fullStr | Fuzzy Programming Approach to Solve Multi-Objective Fully Fuzzy Transportation Problem |
| title_full_unstemmed | Fuzzy Programming Approach to Solve Multi-Objective Fully Fuzzy Transportation Problem |
| title_short | Fuzzy Programming Approach to Solve Multi-Objective Fully Fuzzy Transportation Problem |
| title_sort | fuzzy programming approach to solve multi objective fully fuzzy transportation problem |
| topic | Multi-Objective Programming; Triangular Fuzzy Number; Fuzzy Transportation Problem; Fuzzy Decision Variables; Ranking Function; Fuzzy Programming Method |
| url | https://www.Ajol.Info/index.php/eajbcs/article/view/261125 |
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