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Title: Incorporating optimisation technique into Zadeh’s extension principle for computing non-monotone functions with fuzzy variable
Other Titles: Menggabungkan teknik pengoptimuman ke dalam prinsip perluasan Zadeh untuk komputeran fungsi-fungsi tak bermonoton dengan pembolehubah kabur
Authors: Muhammad Zaini, Ahmad
M. K., Hasan
???metadata.dc.contributor.url???: mzaini@unimap.edu.my
Keywords: Fuzzy set;Optimisation;Zadeh’s extension principle
Issue Date: Jun-2011
Publisher: Penerbit Universiti Kebangsaan Malaysia (UKM)
Citation: Sains Malaysiana, vol. 40 (6), 2011, pages 643-650
Abstract: 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.
Description: Link to publisher's homepage at http://www.ukm.my/
URI: http://www.ukm.my/jsm/pdf_files/SM-PDF-40-6-2011/16%20M.Z.%20Ahmad.pdf
ISSN: 0126-6039
Appears in Collections:Institute of Engineering Mathematics (Articles)

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