On the topological properties of fuzzy rough sets. (English) Zbl 1070.54006
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.
Reviewer: Fu-Gui Shi (Beijing)
MSC:
| 54A40 | Fuzzy topology |
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