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Topological Characterizations of Rough Set Theory Based on Quantum Logic

Author

Listed:
  • Songsong Dai

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

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.

Suggested Citation

  • Songsong Dai, 2022. "Topological Characterizations of Rough Set Theory Based on Quantum Logic," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 103-111, March.
    • Handle: RePEc:wsi:nmncxx:v:18:y:2022:i:01:n:s1793005722500065
    DOI: 10.1142/S1793005722500065
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