Topological Characterizations of Rough Set Theory Based on Quantum Logic
Songsong Dai · New Mathematics and Natural Computation · 2021
Rough set theory is a mathematical approach for dealing with uncertain and imperfect knowledge processing. This paper investigates rough sets based on quantum logic, i.e., orthomodular lattice-valued logic. Some properties of the lower and upper approximations are proposed. Finally, some topological characterizations of the new rough set model are discussed.