The relationship between L-fuzzy rough set and L-topology

Authors:
Jing Hao;Qingguo Li
Affiliations:
College of Mathematics and Econometrics, Hunan University, Changsha 410082, PR China;College of Mathematics and Econometrics, Hunan University, Changsha 410082, PR China
Venue:
Fuzzy Sets and Systems
Year:
2011

Citing 16
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Abstract

Various fuzzy generalizations of rough approximations have been proposed in the literature. This paper is devoted to the discussion of the relationship between L-fuzzy rough sets and L-topologies on an arbitrary universe. Finally, one-to-one correspondence between the set of all reflexive, transitive L-relations and the set of all Alexandrov L-topologies is obtained.