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- W2934877575 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 $mathbb{R}^{N}$ have been studied deeply. Now the following problem is posed: we know that $mathbb{R} ^{N}$ can be embedded in the fuzzy number space $E^{N}$ . Is it then possible to define n-widths of set A in $E^{N}$ and obtain asymptotic estimates for these n-widths? In this paper, we shall introduce four n-widths of A in $E^{N}$ and determine these n-widths of Zadeh’s extension of diagonal matrices." @default.
- W2934877575 created "2019-04-11" @default.
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- W2934877575 date "2019-03-29" @default.
- W2934877575 modified "2023-09-23" @default.
- W2934877575 title "Asymptotic estimates for n-width of fuzzy numbers" @default.
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- W2934877575 doi "https://doi.org/10.1186/s13660-019-2041-7" @default.
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