Particle lattices and fuzzy particle lattices (Q1124619)
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scientific article; zbMATH DE number 4112663
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Particle lattices and fuzzy particle lattices |
scientific article; zbMATH DE number 4112663 |
Statements
Particle lattices and fuzzy particle lattices (English)
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1989
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Let L be a lattice with at least two elements. A non-zero element p in L is called irreducible if \(p\leq B\vee C\) implies \(p\leq B\) or \(p\leq C\). In the paper under review, irreducible elements are called particles. The author considers the lattices generated by particles. The paper establishes representation theorems for such lattices; several relations with well-known lattice theoretic concepts are also given.
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closed set-lattice
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involution
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fuzzy lattice
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irreducible elements
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representation theorems
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