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Nearest interval approximation of a fuzzy number
Fuzzy Sets and Systems, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Przemyslaw Grzegorzewski
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A note on fuzzy-transform approximation of fuzzy numbers
2015 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC), 2015A possibilistic representation of fuzzy numbers/intervals can be obtained in terms of a fuzzy distribution function (the average of the possibility and necessity functions). The fuzzy distribution function is monotonic non decreasing upper-semicontinuous and there exists a simple one-to-one correspondence between the space of such functions and the ...
Lucian C. Coroianu, Luciano Stefanini
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Approximation of fuzzy numbers by using multi-knots piecewise linear fuzzy numbers
Journal of Intelligent & Fuzzy Systems, 2020In this paper, the problem of approximating general fuzzy number by using multi-knots piecewise linear fuzzy number is studied. First, r - s -knots piecewise linear fuzzy numbers are defined, and the conceptions of the I
Guixiang Wang, Chenjie Shen, Yanyan Wang
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On the Interval Approximation of Fuzzy Numbers
International Conference on Information Processing and Management of Uncertainty, 2012The problem of the interval approximation of fuzzy numbers is discussed. A new family of interval approximation operators based on different distances between fuzzy numbers are considered.
P. Grzegorzewski
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Note on “Trapezoidal approximation of fuzzy numbers”
Fuzzy Sets and Systems, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tofigh Allahviranloo +1 more
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Approximation of fuzzy numbers using the convolution method
Fuzzy Sets and Systems, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huan Huang 0005 +3 more
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Approximation of Fuzzy Numbers by F-Transform
International Conference on Information Processing and Management of Uncertainty, 2012The fuzzy transform setting (F-transform) is proposed as a tool for representation and approximation of type-1 and type-2 fuzzy numbers; the inverse F-transform on appropriate fuzzy partition of the membership interval [0,1] is used to characterize spaces of fuzzy numbers in such a way that arithmetic operations are defined and expressed in terms of ...
Luciano Stefanini, Laerte Sorini
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Fuzzy number approximation via shadowed sets
Information Sciences, 2013Interval and trapezoidal approximation methods for fuzzy numbers have been intensively developed and examined recently. In this paper another approach to simplify fuzzy numbers, called shadowed set approximation, is suggested. Some basic properties of the proposed method is also discussed.
Przemyslaw Grzegorzewski
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A Parametric Interval Approximation of Fuzzy Numbers
International Conference on Advanced Computer Systems, 2015In this paper we present a parametric formulation of interval approximation of fuzzy numbers. It is based on a more complex version of generalized Trutschnig et al. distance. General conclusions are showed and particular cases are studied in details.
ANZILLI, Luca, FACCHINETTI, Gisella
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Width invariant approximation of fuzzy numbers
2016In this paper, we consider the width invariant trapezoidal and triangularapproximations of fuzzy numbers. The presented methods avoid the effortful computation of Karush-Kuhn-Tucker Theorem. Some properties of the new approximation methods are presented and the applicability of the methods is illustrated by examples.
Khastan, Alireza, Moradi, Zahra
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