paper

Pseudo-Kleene algebras determined by rough sets

arXiv:2304.05641 · doi:10.1016/j.ijar.2023.108991

Abstract

We study the pseudo-Kleene algebras of the Dedekind-MacNeille completion of the ordered set of rough set determined by a reflexive relation. We characterize the cases when PBZ and PBZ*-lattices can be defined on these pseudo-Kleene algebras.

arXiv comment24 pages, minor update to the initial version

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