On the structure of generalized rough sets

  title={On the structure of generalized rough sets},
  author={Michiro Kondo},
  journal={Inf. Sci.},
In this paper we consider some fundamental properties of generalized rough sets induced by binary relations on algebras and show that 1. Any reflexive binary relation determines a topology. 2. If h is a reflexive and symmetric relation on a set X, then O 1⁄4 fA X jh ðAÞ 1⁄4 Ag is a topology such that A is open if and only if it is closed. 3. Conversely, for every topological space ðX ;OÞ satisfying the condition that A is open if and only if it is closed, there exists a reflexive and symmetric… CONTINUE READING
Highly Cited
This paper has 172 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications citing this paper.
Showing 1-10 of 83 extracted citations

172 Citations

Citations per Year
Semantic Scholar estimates that this publication has 172 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-8 of 8 references

Rough set theory applied to BCI-algebras

W. A. Dudek, Y. B. Jun, H. S. Kim
Quasigroups Relat. Syst. 9 • 2002
View 4 Excerpts
Highly Influenced

Rough Sets

L. Polkowski
Physica-Verlag, Springer • 2002
View 2 Excerpts

BL-algebras of basic fuzzy logic

E. Turunen
Mathware Soft Comput. 6 • 1999
View 1 Excerpt

Rough Ideals in Semigroups

Inf. Sci. • 1997
View 1 Excerpt

Structures of rough sets and rough groups

N. Kuroki, J. N. Mordeson
J. Fuzzy Math. 5 • 1997
View 1 Excerpt

Rough Sets

Theory and Decision Library • 1991
View 3 Excerpts

Similar Papers

Loading similar papers…