Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable
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Penerbit Universiti Kebangsaan Malaysia (UKM)
2011
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my.unimap-151112011-10-28T01:35:04Z Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable Muhammad Zaini, Ahmad M. K., Hasan mzaini@unimap.edu.my Fuzzy set Optimisation Zadeh’s extension principle Link to publisher's homepage at http://www.ukm.my/ This paper proposes a new computational method for computing non-monotone functions that take a fuzzy interval as their arguments. The proposed method represents an implementation of optimisation technique into Zadeh’s extension principle. By taking into account the dependency problem that exists in fuzzy environment, the proposed method can avoid the effect of overestimation in computation. This problem usually arises when the same fuzzy interval is computed separately in fuzzy interval computation. The proposed method is simple to use and can be implemented in many practical applications. In order to show the capability of the proposed method, several non-monotone functions with trapezoidal fuzzy intervals are studied. 2011-10-28T01:35:04Z 2011-10-28T01:35:04Z 2011-06 Article Sains Malaysiana, vol. 40 (6), 2011, pages 643-650 0126-6039 http://www.ukm.my/jsm/pdf_files/SM-PDF-40-6-2011/16%20M.Z.%20Ahmad.pdf http://hdl.handle.net/123456789/15111 en Penerbit Universiti Kebangsaan Malaysia (UKM) |
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Fuzzy set Optimisation Zadeh’s extension principle |
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Fuzzy set Optimisation Zadeh’s extension principle Muhammad Zaini, Ahmad M. K., Hasan Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable |
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Link to publisher's homepage at http://www.ukm.my/ |
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mzaini@unimap.edu.my |
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mzaini@unimap.edu.my Muhammad Zaini, Ahmad M. K., Hasan |
| format |
Article |
| author |
Muhammad Zaini, Ahmad M. K., Hasan |
| author_sort |
Muhammad Zaini, Ahmad |
| title |
Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable |
| title_short |
Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable |
| title_full |
Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable |
| title_fullStr |
Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable |
| title_full_unstemmed |
Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable |
| title_sort |
incorporating optimisation technique into zadeh’s extension principle for computing non-monotone functions with fuzzy variable |
| publisher |
Penerbit Universiti Kebangsaan Malaysia (UKM) |
| publishDate |
2011 |
| url |
http://dspace.unimap.edu.my/xmlui/handle/123456789/15111 |
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