Rough set theory applied to lattice theory

Authors:
A. A. Estaji;M. R. Hooshmandasl;B. Davvaz
Affiliations:
Department of Mathematics, Sabzevar Tarbiat Moallem University, Sabzevar, Iran;Department of Computer Science, Yazd University, Yazd, Iran;Department of Mathematics, Yazd University, Yazd, Iran
Venue:
Information Sciences: an International Journal
Year:
2012

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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.