WEIGHTED ADDITIVE MODEL AND CHANCE CONSTRAINED TECHNIQUE FOR SOLVING NONSYMMETRICAL STOCHASTIC FUZZY MULTIOBJECTIVE LINEAR PROGRAM
The problems of linear programming are developing from time to time, and its complexity is constantly growing. Various problems can be viewed as a multi-objective fuzzy linear programming, multi-objective stochastic linear programming or a combination of both. This research is focused on examining M...
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Universitas Pattimura
2022-03-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5017 |
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| author | Grandianus Seda Mada Nugraha K.F. Dethan Fried Markus Allung Blegur Adriano Dos Santos |
| author_facet | Grandianus Seda Mada Nugraha K.F. Dethan Fried Markus Allung Blegur Adriano Dos Santos |
| author_sort | Grandianus Seda Mada |
| collection | DOAJ |
| description | The problems of linear programming are developing from time to time, and its complexity is constantly growing. Various problems can be viewed as a multi-objective fuzzy linear programming, multi-objective stochastic linear programming or a combination of both. This research is focused on examining Multi-Objective Fuzzy Stochastic Linear Programming (MOFSLP) with each of the objective functions has a different level of importance to decision makers, or better known as the nonsymmetrical model. The objective function of the linear program contains fuzzy parameters, while the constraint function contains the fuzzy parameters and random variables. The purpose of this study is to develop an algorithm to transform the MOFSLP be a Program of linear Single-Objective Deterministic Linear Programming (SODLP) so that it can be solved using simplex method. In the process of transforming MOFSLP to SODLP, several approaches have been used. They are; weighted additive model, analytic hierarchy process and chance constrained technique. An example of numerical computations has been provided at the end of the discussion in order to illustrate how the algorithm works. The resulted Model and algorithm are expected to help companies in the decision making process. |
| format | Article |
| id | doaj-art-d6fcb7d46c0d4da88969b3e8faacde8e |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2022-03-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-d6fcb7d46c0d4da88969b3e8faacde8e2025-08-20T03:37:36ZengUniversitas PattimuraBarekeng1978-72272615-30172022-03-0116129330410.30598/barekengvol16iss1pp291-3025017WEIGHTED ADDITIVE MODEL AND CHANCE CONSTRAINED TECHNIQUE FOR SOLVING NONSYMMETRICAL STOCHASTIC FUZZY MULTIOBJECTIVE LINEAR PROGRAMGrandianus Seda Mada0Nugraha K.F. Dethan1Fried Markus Allung Blegur2Adriano Dos Santos3Mathematics Study Program, Faculty of Agriculture, University of TimorMathematics Study Program, Faculty of Agriculture, University of TimorMathematics Study Program, Faculty of Agriculture, University of TimorMathematics Study Program, Faculty of Agriculture, University of TimorThe problems of linear programming are developing from time to time, and its complexity is constantly growing. Various problems can be viewed as a multi-objective fuzzy linear programming, multi-objective stochastic linear programming or a combination of both. This research is focused on examining Multi-Objective Fuzzy Stochastic Linear Programming (MOFSLP) with each of the objective functions has a different level of importance to decision makers, or better known as the nonsymmetrical model. The objective function of the linear program contains fuzzy parameters, while the constraint function contains the fuzzy parameters and random variables. The purpose of this study is to develop an algorithm to transform the MOFSLP be a Program of linear Single-Objective Deterministic Linear Programming (SODLP) so that it can be solved using simplex method. In the process of transforming MOFSLP to SODLP, several approaches have been used. They are; weighted additive model, analytic hierarchy process and chance constrained technique. An example of numerical computations has been provided at the end of the discussion in order to illustrate how the algorithm works. The resulted Model and algorithm are expected to help companies in the decision making process.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5017weighted additivemoflsp-sodlpanalytic hierarchy processchance constrained |
| spellingShingle | Grandianus Seda Mada Nugraha K.F. Dethan Fried Markus Allung Blegur Adriano Dos Santos WEIGHTED ADDITIVE MODEL AND CHANCE CONSTRAINED TECHNIQUE FOR SOLVING NONSYMMETRICAL STOCHASTIC FUZZY MULTIOBJECTIVE LINEAR PROGRAM Barekeng weighted additive moflsp-sodlp analytic hierarchy process chance constrained |
| title | WEIGHTED ADDITIVE MODEL AND CHANCE CONSTRAINED TECHNIQUE FOR SOLVING NONSYMMETRICAL STOCHASTIC FUZZY MULTIOBJECTIVE LINEAR PROGRAM |
| title_full | WEIGHTED ADDITIVE MODEL AND CHANCE CONSTRAINED TECHNIQUE FOR SOLVING NONSYMMETRICAL STOCHASTIC FUZZY MULTIOBJECTIVE LINEAR PROGRAM |
| title_fullStr | WEIGHTED ADDITIVE MODEL AND CHANCE CONSTRAINED TECHNIQUE FOR SOLVING NONSYMMETRICAL STOCHASTIC FUZZY MULTIOBJECTIVE LINEAR PROGRAM |
| title_full_unstemmed | WEIGHTED ADDITIVE MODEL AND CHANCE CONSTRAINED TECHNIQUE FOR SOLVING NONSYMMETRICAL STOCHASTIC FUZZY MULTIOBJECTIVE LINEAR PROGRAM |
| title_short | WEIGHTED ADDITIVE MODEL AND CHANCE CONSTRAINED TECHNIQUE FOR SOLVING NONSYMMETRICAL STOCHASTIC FUZZY MULTIOBJECTIVE LINEAR PROGRAM |
| title_sort | weighted additive model and chance constrained technique for solving nonsymmetrical stochastic fuzzy multiobjective linear program |
| topic | weighted additive moflsp-sodlp analytic hierarchy process chance constrained |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5017 |
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