Rough semigroups and rough fuzzy semigroups based on fuzzy ideals (Q504518)
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scientific article; zbMATH DE number 6675362
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rough semigroups and rough fuzzy semigroups based on fuzzy ideals |
scientific article; zbMATH DE number 6675362 |
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Rough semigroups and rough fuzzy semigroups based on fuzzy ideals (English)
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17 January 2017
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The authors of this article study some properties of rough subsemigroups and rough fuzzy subsemigroups of semigroups. They construct the \(t\)-level relation \(U(\mu, t)\) of a fuzzy ideal \(\mu\) of semigroups, and prove that \(U(\mu, t)\) is a congruence relation. The authors also consider the notions of lower and upper approximations based on a fuzzy ideal in semigroups, obtaining several interesting results.
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fuzzy ideal
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level sets
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rough fuzzy semigroup
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approximation
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