The Fuzzy Width Theory in the Finite-Dimensional Space and Sobolev Space

This paper aims to fuzzify the width problem of classical approximation theory. New concepts of fuzzy Kolmogorov n-width and fuzzy linear n-width are introduced on the basis of α-fuzzy distance which is induced by the fuzzy norm. Furthermore, the relationship between the classical widths in linear n...

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Bibliographic Details
Published in:	Mathematics (Basel) Vol. 11; no. 10; p. 2331
Main Authors:	Xu, Yanyan, Sun, Lu, Li, Hao, Chen, Guanggui
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01.05.2023
Subjects:	Analysis Approximation Dimension theory (Topology) Fuzzy algorithms fuzzy Kolmogorov n-width fuzzy linear n-width Fuzzy logic fuzzy norm Fuzzy sets Fuzzy systems Investigations Mathematics Norms Sobolev space α-fuzzy distance China
ISSN:	2227-7390, 2227-7390
Online Access:	Get full text
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