Penalty method for fuzzy linear programming with trapezoidal numbers
In this paper we shall propose an algorithm for solving fuzzy linear programming problems with trapezoidal numbers using a penalty method. We will transform the problem of maximizing a function having trapezoidal fuzzy number values under some constraints into a deterministic multi-objective program...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Belgrade
2009-01-01
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| Series: | Yugoslav Journal of Operations Research |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-0243/2009/0354-02430901149S.pdf |
| _version_ | 1829497717443788800 |
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| author | Stanojević Bogdana Stanojević Milan |
| author_facet | Stanojević Bogdana Stanojević Milan |
| author_sort | Stanojević Bogdana |
| collection | DOAJ |
| description | In this paper we shall propose an algorithm for solving fuzzy linear programming problems with trapezoidal numbers using a penalty method. We will transform the problem of maximizing a function having trapezoidal fuzzy number values under some constraints into a deterministic multi-objective programming problem by penalizing the objective function for possible constraint violation. Furthermore, the obtained deterministic problem will have only unavoidable inequalities between trapezoidal fuzzy numbers parameters as constraints. |
| first_indexed | 2024-12-16T07:57:56Z |
| format | Article |
| id | doaj.art-37cddf8bee17436b816f944e89833511 |
| institution | Directory Open Access Journal |
| issn | 0354-0243 1820-743X |
| language | English |
| last_indexed | 2024-12-16T07:57:56Z |
| publishDate | 2009-01-01 |
| publisher | University of Belgrade |
| record_format | Article |
| series | Yugoslav Journal of Operations Research |
| spelling | doaj.art-37cddf8bee17436b816f944e898335112022-12-21T22:38:40ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02431820-743X2009-01-0119114915610.2298/YJOR0901149SPenalty method for fuzzy linear programming with trapezoidal numbersStanojević BogdanaStanojević MilanIn this paper we shall propose an algorithm for solving fuzzy linear programming problems with trapezoidal numbers using a penalty method. We will transform the problem of maximizing a function having trapezoidal fuzzy number values under some constraints into a deterministic multi-objective programming problem by penalizing the objective function for possible constraint violation. Furthermore, the obtained deterministic problem will have only unavoidable inequalities between trapezoidal fuzzy numbers parameters as constraints.http://www.doiserbia.nb.rs/img/doi/0354-0243/2009/0354-02430901149S.pdfLinear programmingtrapezoidal fuzzy numberpenalty method |
| spellingShingle | Stanojević Bogdana Stanojević Milan Penalty method for fuzzy linear programming with trapezoidal numbers Yugoslav Journal of Operations Research Linear programming trapezoidal fuzzy number penalty method |
| title | Penalty method for fuzzy linear programming with trapezoidal numbers |
| title_full | Penalty method for fuzzy linear programming with trapezoidal numbers |
| title_fullStr | Penalty method for fuzzy linear programming with trapezoidal numbers |
| title_full_unstemmed | Penalty method for fuzzy linear programming with trapezoidal numbers |
| title_short | Penalty method for fuzzy linear programming with trapezoidal numbers |
| title_sort | penalty method for fuzzy linear programming with trapezoidal numbers |
| topic | Linear programming trapezoidal fuzzy number penalty method |
| url | http://www.doiserbia.nb.rs/img/doi/0354-0243/2009/0354-02430901149S.pdf |
| work_keys_str_mv | AT stanojevicbogdana penaltymethodforfuzzylinearprogrammingwithtrapezoidalnumbers AT stanojevicmilan penaltymethodforfuzzylinearprogrammingwithtrapezoidalnumbers |