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Note on “Trapezoidal approximation of fuzzy numbers”

Fuzzy Sets and Systems, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allahviranloo, T., Adabitabar Firozja, M.   +1 more
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Trapezoidal approximations of fuzzy numbers—revisited

Fuzzy Sets and Systems, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grzegorzewski, Przemysław, Mrówka, Edyta   +1 more
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The Symmetric Trapezoidal Approximations of Fuzzy Numbers

2010 International Conference on Computational and Information Sciences, 2010
The nearest symmetric trapezoidal approximation is presented for simplifying calculations of fuzzy numbers, which possesses the following properties: the centroid point invariance, ambuguity invariance, width invariance, translation invariance, sc-ale invariance. Numerical results also show that the presented method is valid.
Zhongxing Wang, Jingcui Li
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Approximation of Fuzzy Sets by Interval Type-2 Trapezoidal Fuzzy Sets

IEEE Transactions on Cybernetics, 2020
In this paper, we propose a gradient-based method to approximate a fuzzy set through a trapezoidal fuzzy set (TFS). By adding some constraints in the formulated optimization problem, the major characteristics of the fuzzy set such as the core, the major part of the support, and the shape of the membership function could be preserved; also the form of ...
Yinghua Shen, Witold Pedrycz, Xianmin Wang   +2 more
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Approximation of intuitionistic fuzzy numbers by trapezoidal intuitionistic fuzzy numbers

Journal of Intelligent & Fuzzy Systems, 2017
The notation of extended intuitionistic fuzzy number is introduced and the representation of the weighted extended trapezoidal intuitionistic approximation of an intuitionistic fuzzy number is given in this paper. The problem related to aggregation is addressed about approximating the given intuitionistic fuzzy numbers or aggregating the given ...
Li, Shuyang, Yuan, Xuehai, Li, Hongxing
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Trapezoidal Approximation of Fuzzy Numbers Based on Sample Data

, 2010
The idea of the membership functions construction form a data sample is suggested. The proposed method is based on the trapezoidal approximation of fuzzy numbers.
Przemysław Grzegorzewski
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Trapezoidal approximations of fuzzy numbers preserving the expected interval—Algorithms and properties

Fuzzy Sets and Systems, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Przemysław Grzegorzewski
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Using Trapezoidal Approximations to Estimate Averages

The College Mathematics Journal
Chris Boucher
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Trapezoidal approximation and aggregation

Fuzzy Sets and Systems, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ban, Adrian, Coroianu, Lucian, Grzegorzewski, Przemysław   +2 more
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Natural trapezoidal approximations of fuzzy numbers

Fuzzy Sets and Systems, 2014
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Grzegorzewski, Przemyslaw, Pasternak-Winiarska, Karolina   +1 more
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