Decision making using modified s-curve membership function in fuzzy linear programming problem
In order to develop approaches to solve a fuzzy linear programming problem, it is necessary to study first the formulation of membership functions and then the methodology for applying the solution to real life problems. A S-curve membership function is proposed in this paper. It is important to not...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universiti Utara Malaysia Press
2003
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| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/343/1/Pandian_M.Vasant.pdf |
| _version_ | 1803624110184464384 |
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| author | Pandian, M. Vasant Nagarajan, R. Yaacob, Sazali |
| author_facet | Pandian, M. Vasant Nagarajan, R. Yaacob, Sazali |
| author_sort | Pandian, M. Vasant |
| collection | UUM |
| description | In order to develop approaches to solve a fuzzy linear programming problem, it is necessary to study first the formulation of membership functions and then the methodology for applying the solution to real life problems. A S-curve membership function is proposed in this paper. It is important to note that the S-curve membership function has to be flexible to describe the fuzziness in the problem. Fuzziness may occur in several levels of an industrial production management such as manpower requirements, resource availability such as software and the demand to be met. In order to show that the S-curve membership function works well for fuzzy problems, a numerical example is demonstrated. A thorough study on how the non linear membership function used in dealing with fuzzy parameters and fuzzy constraints is also presented. Only one case where all three coefficients (such as objective coefficients, technical coefficients and resource variables) that normally occur in production planning problem, are considered and fuzzified. However, there are several other cases. The result obtained from this paper is to provide confidence in using the proposed S-curve membership function in a real life production planning industrial problem. |
| first_indexed | 2024-07-04T05:13:10Z |
| format | Article |
| id | uum-343 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T05:13:10Z |
| publishDate | 2003 |
| publisher | Universiti Utara Malaysia Press |
| record_format | dspace |
| spelling | uum-3432010-07-28T13:43:31Z https://repo.uum.edu.my/id/eprint/343/ Decision making using modified s-curve membership function in fuzzy linear programming problem Pandian, M. Vasant Nagarajan, R. Yaacob, Sazali QA Mathematics In order to develop approaches to solve a fuzzy linear programming problem, it is necessary to study first the formulation of membership functions and then the methodology for applying the solution to real life problems. A S-curve membership function is proposed in this paper. It is important to note that the S-curve membership function has to be flexible to describe the fuzziness in the problem. Fuzziness may occur in several levels of an industrial production management such as manpower requirements, resource availability such as software and the demand to be met. In order to show that the S-curve membership function works well for fuzzy problems, a numerical example is demonstrated. A thorough study on how the non linear membership function used in dealing with fuzzy parameters and fuzzy constraints is also presented. Only one case where all three coefficients (such as objective coefficients, technical coefficients and resource variables) that normally occur in production planning problem, are considered and fuzzified. However, there are several other cases. The result obtained from this paper is to provide confidence in using the proposed S-curve membership function in a real life production planning industrial problem. Universiti Utara Malaysia Press 2003 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/343/1/Pandian_M.Vasant.pdf Pandian, M. Vasant and Nagarajan, R. and Yaacob, Sazali (2003) Decision making using modified s-curve membership function in fuzzy linear programming problem. Journal of Information and Communication Technology, 1 (2). pp. 1-16. ISSN 2180-3862 http://jict.uum.edu.my |
| spellingShingle | QA Mathematics Pandian, M. Vasant Nagarajan, R. Yaacob, Sazali Decision making using modified s-curve membership function in fuzzy linear programming problem |
| title | Decision making using modified s-curve membership function in fuzzy linear programming problem |
| title_full | Decision making using modified s-curve membership function in fuzzy linear programming problem |
| title_fullStr | Decision making using modified s-curve membership function in fuzzy linear programming problem |
| title_full_unstemmed | Decision making using modified s-curve membership function in fuzzy linear programming problem |
| title_short | Decision making using modified s-curve membership function in fuzzy linear programming problem |
| title_sort | decision making using modified s curve membership function in fuzzy linear programming problem |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/343/1/Pandian_M.Vasant.pdf |
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