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THREE-PARAMETER FUZZY ARITHMETIC APPROXIMATION OF L-R FUZZY NUMBERS FOR FUZZY NEURAL NETWORKS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2006
In this study, we proposed an alternative operation of fuzzy arithmetic on L-R fuzzy numbers by three parameters of mode, left spread and right spread. Then, based on this approximation method, a new learning algorithm of a fully fuzzified neural network was developed in which the L-R fuzzy numbers were considered as the fuzzy signals.
Wang, Hsiao-Fan, Kuo, Ching-Yi
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Triangular approximations of fuzzy numbers using α-weighted valuations

Soft Computing, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abbasbandy, S., Ahmady, E., Ahmady, N.
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Nearest interval approximation of a fuzzy number

Fuzzy Sets and Systems, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A generalized and unified approach to the approximation of fuzzy numbers and its arithmetic and characteristics

Fuzzy Sets Syst., 2023
M. I. Berenguer   +3 more
semanticscholar   +1 more source

Triangular approximation preserving the centroid of fuzzy numbers

International Journal of Computer Mathematics, 2012
In this paper, the Karush–Kuhn–Tucker theorem is used for finding the nearest triangular approximation of a fuzzy number with respect to a well-known metric, which preserves the centroid of the fuzzy number, is studied. The properties of translation invariance, scale invariance and identity of the triangular approximation operator are discussed.
Jian Li, Zhong Xing Wang, Qi Yue
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Weighted semi-trapezoidal approximations of fuzzy numbers

Fuzzy Sets and Systems, 2011
The author embeds fuzzy numbers into a Hilbert space \(H\) for computing their weighted semi-trapezoidal approximations via best approximations in a closed convex subset of \(H\). Formulas of matricial type are given, thus improving results of \textit{A. I. Ban} [Fuzzy Sets Syst. 160, No.~21, 3027--3047 (2009; Zbl 1183.03047); ibid.
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On the maximum entropy parameterized interval approximation of fuzzy numbers

Fuzzy Sets Syst., 2006
This paper extends the interval-valued weighted possibilistic mean of a fuzzy number of Fuller and Majlender to a general weighting function without the monotonic increasing assumption. This weighting function determines a weighted average aggregation of
Xinwang Liu
semanticscholar   +1 more source

An improved analysis on approximation of fuzzy numbers

PROCEEDINGS OF THE 4TH INTERNATIONAL COMPUTER SCIENCES AND INFORMATICS CONFERENCE (ICSIC 2022), 2023
Rashmi Sharm, Ashok Pal
semanticscholar   +1 more source

Weighted polygonal approximation of fuzzy numbers preserving their main characteristics

Fuzzy Sets Syst., 2021
A. Báez-Sánchez   +4 more
semanticscholar   +1 more source

Trapezoidal approximation operators preserving the most indicators of fuzzy numbers-relationships and applications

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2022
M. Chehlabi
semanticscholar   +1 more source

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