| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10324157 | Fuzzy Sets and Systems | 2005 | 13 Pages |
Abstract
This paper is devoted to the discussion of the relationship between fuzzy rough set models and fuzzy topologies on a finite universe. The (TC) axiom for fuzzy topology is proposed. It is proved that the set of all lower approximation sets based on a reflexive and transitive fuzzy relation consists of a fuzzy topology which satisfies (TC) axiom; and conversely, a fuzzy topology which obey (TC) axiom is just the set of all lower approximation sets under a reflexive and transitive fuzzy relation. That is to say, there exists a one-to-one correspondence between the set of all reflexive and transitive fuzzy relations and the set of all fuzzy topologies which satisfy (TC) axiom.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Keyun Qin, Zheng Pei,