Rough sets and the algebra of conditional logic

G Panicker, M Banerjee - … , IJCRS 2019, Debrecen, Hungary, June 17–21 …, 2019 - Springer
Rough Sets: International Joint Conference, IJCRS 2019, Debrecen, Hungary …, 2019Springer
In this paper, we consider McCarthy's three-valued logic and its corresponding algebra, a C-
algebra, and introduce a connection of C-algebras with rough sets. Rough sets, with suitable
operations, are shown to form a C-algebra. Further, we present a representation theorem for
the class of C-algebras, establishing that every C-algebra can be embedded in a family of
rough sets. The results are illustrated with examples.
Abstract
In this paper, we consider McCarthy’s three-valued logic and its corresponding algebra, a C-algebra, and introduce a connection of C-algebras with rough sets. Rough sets, with suitable operations, are shown to form a C-algebra. Further, we present a representation theorem for the class of C-algebras, establishing that every C-algebra can be embedded in a family of rough sets. The results are illustrated with examples.
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