On the topological properties of fuzzy rough sets (Q1772766)
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scientific article; zbMATH DE number 2160236
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the topological properties of fuzzy rough sets |
scientific article; zbMATH DE number 2160236 |
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On the topological properties of fuzzy rough sets (English)
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21 April 2005
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The authors propose the (TC) axiom for a [0,1]-topology and prove that the set of all lower approximation sets of fuzzy sets based on a reflexive and transitive fuzzy relation consists of a [0,1]-topology which satisfies the (TC) axiom, and conversely a [0,1]-topology which satisfies the (TC) axiom is just the set of all lower approximation sets under a reflexive and transitive fuzzy relation.
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fuzzy rough set
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fuzzy relation
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(TC) axiom
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approximation operator
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\([0,1]\)-topology
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