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...

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Main Authors:	Muhammad Zaini Ahmad, Mohammad Khatim Hasan
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2011
Online Access:	http://journalarticle.ukm.my/2514/ http://journalarticle.ukm.my/2514/ http://journalarticle.ukm.my/2514/1/16_M.Z._Ahmad.pdf

id	ukm-2514
recordtype	eprints
spelling	ukm-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/
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
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.
format	Article
author	Muhammad Zaini Ahmad, Mohammad Khatim Hasan,
spellingShingle	Muhammad Zaini Ahmad, Mohammad Khatim Hasan, Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable
author_facet	Muhammad Zaini Ahmad, Mohammad Khatim 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	Universiti Kebangsaan Malaysia
publishDate	2011
url	http://journalarticle.ukm.my/2514/ http://journalarticle.ukm.my/2514/ http://journalarticle.ukm.my/2514/1/16_M.Z._Ahmad.pdf
first_indexed	2023-09-18T19:36:17Z
last_indexed	2023-09-18T19:36:17Z
_version_	1777405292626051072

Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable

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