Title
Rough set theory applied to lattice theory
Abstract
In this paper, we intend to study a connection between rough sets and lattice theory. We introduce the concepts of upper and lower rough ideals (filters) in a lattice. Then, we offer some of their properties with regard to prime ideals (filters), the set of all fixed points, compact elements, and homomorphisms.
Year
DOI
Venue
2012
10.1016/j.ins.2012.02.060
Inf. Sci.
Keywords
Field
DocType
fixed point,lattice theory,rough set theory,compact element,rough set,lower rough ideal,prime ideal,lattice,filter,ideal
Discrete mathematics,Compact element,Congruence lattice problem,Lattice model (physics),Lattice (order),Lattice field theory,Map of lattices,Rough set,Ideal (order theory),Mathematics
Journal
Volume
ISSN
Citations 
200,
0020-0255
41
PageRank 
References 
Authors
1.08
40
3
Name
Order
Citations
PageRank
A. A. Estaji1411.08
M. R. Hooshmandasl2526.40
B. Davvaz379557.79