Rough Lattices

We introduced rough sets into lattices. The concepts of upper and lower approximations of a subset in a lattice are given. We discussed the properties of θ - (A)and θ_(A) when A is a sublattice, an ideal, a prime ideal and a convex sublattice of L.

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Bibliographic Details
Main Authors: Zuhua Liao, Lian Wu, Miaohan Hu
Format: Conference Proceeding
Language:English
Subjects:
Approximation methods
Conferences
convex lattices
Fuzzy sets
Information science
Lattices
lower approximations
prime ideals
Rough sets
upper approximations
Online Access:Request full text
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Description
Summary:We introduced rough sets into lattices. The concepts of upper and lower approximations of a subset in a lattice are given. We discussed the properties of θ - (A)and θ_(A) when A is a sublattice, an ideal, a prime ideal and a convex sublattice of L.
DOI:10.1109/GrC.2010.81