Abstract | ||
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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. Estaji | 1 | 41 | 1.08 |
M. R. Hooshmandasl | 2 | 52 | 6.40 |
B. Davvaz | 3 | 795 | 57.79 |