Topological Characterizations of Rough Set Theory Based on Quantum Logic

Songsong Dai ()
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Songsong Dai: School of Electronics and Information Engineering, Taizhou University, Taizhou 318000, P. R. China

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 01, 103-111

Abstract: 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.

Keywords: Rough set; quantum logic; orthomodular lattice; topological characterization (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S1793005722500065

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