\({\mathfrak G}\)-fuzzy topologies on algebraic structures (Q1081869)
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scientific article; zbMATH DE number 3971710
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \({\mathfrak G}\)-fuzzy topologies on algebraic structures |
scientific article; zbMATH DE number 3971710 |
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\({\mathfrak G}\)-fuzzy topologies on algebraic structures (English)
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1985
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This interesting paper deals with fuzzy topologies where the fuzzy sets take values in a complete Boolean algebra and where the definition of fuzzy topologies follows the constant-requirement of the reviewer [ibid. 56, 621-633 (1976; Zbl 0342.54003)]. A well-founded theory is presented of algebraic structures endowed with such fuzzy topologies in a compatible way. Especially the completion of fuzzy topological groups and applications to spaces of abstract valued almost everywhere defined random variables is presented.
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complete Boolean algebras
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fuzzy topological group
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fuzzy topological ring
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probabilistic completion
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stochastic integral
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completion of fuzzy topological groups
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spaces of abstract valued almost everywhere defined random variables
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