Representation of an MV-algebra by its triangular norms (Q1818102)
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scientific article; zbMATH DE number 1383555
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representation of an MV-algebra by its triangular norms |
scientific article; zbMATH DE number 1383555 |
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Representation of an MV-algebra by its triangular norms (English)
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2 March 2000
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The authors define a triangular norm on a lattice \((L,\leq, \wedge, \vee, 0,1)\) which generalizes the usual triangular norm on the real interval \([0,1]\). The main result says that any complete and atomic Boolean algebra can be embedded into a dense MV-algebra \(M\) in such a way that the embedding consists of all idempotent elements of \(M\).
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MV-algebra
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triangular norm
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Boolean algebra
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fuzzy set
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