Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://journalarticle.ukm.my/2514/ http://journalarticle.ukm.my/2514/1/16_M.Z._Ahmad.pdf |
| _version_ | 1848809891341271040 |
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| author | Muhammad Zaini Ahmad, Mohammad Khatim Hasan, |
| author_facet | Muhammad Zaini Ahmad, Mohammad Khatim Hasan, |
| author_sort | Muhammad Zaini Ahmad, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T23:21:49Z |
| format | Article |
| id | oai:generic.eprints.org:2514 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:21:49Z |
| publishDate | 2011 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:25142016-12-14T06:31:51Z http://journalarticle.ukm.my/2514/ Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable Muhammad Zaini Ahmad, Mohammad Khatim Hasan, 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. Universiti Kebangsaan Malaysia 2011-06 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2514/1/16_M.Z._Ahmad.pdf Muhammad Zaini Ahmad, and Mohammad Khatim Hasan, (2011) Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable. Sains Malaysiana, 40 (6). pp. 643-650. ISSN 0126-6039 http://www.ukm.my/jsm/ |
| spellingShingle | Muhammad Zaini Ahmad, Mohammad Khatim Hasan, Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable |
| title | 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_short | 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 |
| url | http://journalarticle.ukm.my/2514/ http://journalarticle.ukm.my/2514/ http://journalarticle.ukm.my/2514/1/16_M.Z._Ahmad.pdf |