A new method for computing continuous functions with fuzzy variable
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Asian Network for Scientific Information (ANSInet)
2011
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my.unimap-133672011-08-02T03:24:38Z A new method for computing continuous functions with fuzzy variable Muhammad Zaini, Ahmad Hasan, M.K. De Baets, B. Discretisation Fuzzy interval Fuzzy set Optimisation Zadeh's extension principle Link to publisher's homepage at http://www.ansinet.com/ This study proposes a new method for computing f(U) where f is a real continuous function and U is a fuzzy interval. The computation of f(U) is performed by incorporating optimisation technique into Zadeh's extension principle. By discretising α up to n finite numbers, a set of n closed and bounded intervals is obtained. Here, the computation of f on closed and bounded intervals is the same idea of solving unconstrained optimisation problems. For every finite numbers of α, if the function to be optimised is unimodal, the authors apply Brent's method. One of the main advantages of using this method is that it does not require the calculation of derivative. In case where f is reduced to monotone or to a straight line, the optimal solutions are obtained at the endpoints of intervals. This new strategy gives better results and requires only few function evaluations. An example is provided to illustrate the effectiveness of the proposed method. 2011-08-02T03:24:38Z 2011-08-02T03:24:38Z 2011 Article Journal of Applied Sciences, vol.11 (7), 2011, pages 1143-1149 1812-5654 http://www.scialert.net/qredirect.php?doi=jas.2011.1143.1149&linkid=pdf http://hdl.handle.net/123456789/13367 en Asian Network for Scientific Information (ANSInet) |
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Universiti Malaysia Perlis |
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Malaysia |
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Universiti Malaysia Perlis |
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http://dspace.unimap.edu.my/ |
| language |
English |
| topic |
Discretisation Fuzzy interval Fuzzy set Optimisation Zadeh's extension principle |
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Discretisation Fuzzy interval Fuzzy set Optimisation Zadeh's extension principle Muhammad Zaini, Ahmad Hasan, M.K. De Baets, B. A new method for computing continuous functions with fuzzy variable |
| description |
Link to publisher's homepage at http://www.ansinet.com/ |
| format |
Article |
| author |
Muhammad Zaini, Ahmad Hasan, M.K. De Baets, B. |
| author_facet |
Muhammad Zaini, Ahmad Hasan, M.K. De Baets, B. |
| author_sort |
Muhammad Zaini, Ahmad |
| title |
A new method for computing continuous functions with fuzzy variable |
| title_short |
A new method for computing continuous functions with fuzzy variable |
| title_full |
A new method for computing continuous functions with fuzzy variable |
| title_fullStr |
A new method for computing continuous functions with fuzzy variable |
| title_full_unstemmed |
A new method for computing continuous functions with fuzzy variable |
| title_sort |
new method for computing continuous functions with fuzzy variable |
| publisher |
Asian Network for Scientific Information (ANSInet) |
| publishDate |
2011 |
| url |
http://dspace.unimap.edu.my/xmlui/handle/123456789/13367 |
| _version_ |
1643790820321525760 |
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13.211869 |