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Embedding the Different Families of Fuzzy Sets into Banach Spaces by Using Cauchy Sequences

The family <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">F</mi><mo>(</mo><mi>U</mi><mo>)</mo></mrow></semantics></math></inline-formula> of all fuzzy sets in a normed space cannot be a vector space. This deficiency affects...

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Main Author: Hsien-Chung Wu
Format: Artigo
Language:Inglês
Published: MDPI AG 2024-11-01
Series:Mathematics
Subjects:
Banach space
Cauchy sequence
embedding theorem
Hausdorff metric
normed space
Online Access:https://www.mdpi.com/2227-7390/12/23/3660
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