Rough set models of some abstract algebras close to pre-rough algebra.

Rough set theory has already been algebraically investigated for decades and quasi-Boolean algebra has formed a basis for a number of structures emerging out of rough sets. Pre-rough algebra is one such algebra amongst them. A number of structures based on quasi-Boolean algebra but weaker than pre-rough algebra already exist. In this paper some algebras and their logics are added. Rough set models of the newly created algebras and some of the existing algebras are presented. [ABSTRACT FROM AUTHOR]