Asymptotic estimates for n-width of fuzzy numbers View Full Text


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Article Info

DATE

2019-12

AUTHORS

Yong J. Han, Liu Liang, Guang G. Chen

ABSTRACT

n-widths in approximation theory characterize how well one can approximate a subset by some “good” subsets of a normed linear space. Especially, n-widths of sets of RN have been studied deeply. Now the following problem is posed: we know that RN can be embedded in the fuzzy number space EN. Is it then possible to define n-widths of set A in EN and obtain asymptotic estimates for these n-widths? In this paper, we shall introduce four n-widths of A in EN and determine these n-widths of Zadeh’s extension of diagonal matrices. More... »

PAGES

86

References to SciGraph publications

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URI

http://scigraph.springernature.com/pub.10.1186/s13660-019-2041-7

DOI

http://dx.doi.org/10.1186/s13660-019-2041-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1113107369


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