Nearest piecewise linear approximation of fuzzy numbers

Lucian Coroianu; Marek Gagolewski; Przemyslaw Grzegorzewski

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Nearest piecewise linear approximation of fuzzy numbers

机译：模糊数的最近分段线性逼近

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摘要

The problem of the nearest approximation of fuzzy numbers by piecewise linear 1-knot fuzzy numbers is discussed. By using 1-knot fuzzy numbers one may obtain approximations which are simple enough and flexible to reconstruct the input fuzzy concepts under study. They might be also perceived as a generalization of the trapezoidal approximations. Moreover, these approximations possess some desirable properties. Apart from theoretical considerations approximation algorithms that can be applied in practice are also given.

机译：讨论了用分段线性1-结模糊数最接近模糊数的问题。通过使用1-结模糊数，可以得到足够简单和灵活的近似值，以重建正在研究的输入模糊概念。它们也可以看作是梯形近似的推广。而且，这些近似值具有一些期望的性质。除了理论上的考虑外，还给出了可以在实践中应用的近似算法。

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来源
《Fuzzy sets and systems》 |2013年第16期|26-51|共26页
作者
Lucian Coroianu; Marek Gagolewski; Przemyslaw Grzegorzewski;
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作者单位

Department of Mathematics and Informatics, University of Orudea, I Universitatii Street, 410087 Oradeu, Romania;

Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland ,Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland;

Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland ,Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Approximation of fuzzy numbers; Fuzzy number; Piecewise linear approximation;

机译：模糊数的逼近;模糊数;分段线性逼近;

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4. Approximation of Fuzzy Numbers by Using α-β-knots Piecewise Linear Fuzzy Numbers [C] . Chenjie Shen, Guixiang Wang, Yifeng Xu International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery . 2020

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6. DTI-SNNFRA: Drug-target interaction prediction by shared nearest neighbors and fuzzy-rough approximation [O] . Sk Mazharul Islam, Sk Md Mosaddek Hossain, Sumanta Ray 2021

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7. Piecewise linear approximation of fuzzy numbers: algorithms, arithmetic operations and stability of characteristics [O] . Lucian Coroianu, Marek Gagolewski, Przemyslaw Grzegorzewski 2019

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8. Superconvergence of Recovered Gradients of Discrete Time/Piecewise Linear Galerkin Approximations for Linear and Nonlinear Parabolic Problems. [R] . Wheeler, M. F., Whiteman, J. R. 1992

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Nearest piecewise linear approximation of fuzzy numbers

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