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

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Bibliographic Details
Main Authors: Muhammad Zaini, Ahmad, M. K., Hasan
Other Authors: mzaini@unimap.edu.my
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia (UKM) 2011
Subjects:
Fuzzy set
Optimisation
Zadeh’s extension principle
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/15111
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spelling 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)
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Fuzzy set
Optimisation
Zadeh’s extension principle
spellingShingle 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
description Link to publisher's homepage at http://www.ukm.my/
author2 mzaini@unimap.edu.my
author_facet 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
_version_ 1643790969081954304
score 13.214268

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