The decomposition theorem for a fuzzy quasinorm (Q2221892)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The decomposition theorem for a fuzzy quasinorm |
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The decomposition theorem for a fuzzy quasinorm (English)
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3 February 2021
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Summary: This paper deals with fuzzy quasinormed spaces in the sense of Alegre and Romaguera. After introducing the concept of the family of star quasiseminorms, we prove the decomposition theorem for a fuzzy quasinorm with general \(t\)-norm, characterize fuzzy quasinorms in terms of families of star quasiseminorms, and establish the connection between the fuzzy quasinorm and the family of quasinorms.
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