Abstract
We prove the recent result of Liu and Zhu [1] and discuss some consequences of that and related facts for the development of rough set theory.
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Liu, Y., Zhu, W.: Parametric matroid of rough set. arXiv: 1209.4975, 1–15 (2012)
Tanga, J., Shea, K., Minb, F., Zhu, W.: A matroidal approach to rough set theory. Theoretical Computer Science 471, 1–11 (2013)
Pawlak, Z.: Rough sets. International Journal of Computer and Information Sciences 11, 341–356 (1982)
Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning about Data. System Theory, Knowledge Engineering and Problem Solving, vol. 9. Kluwer Academic Publishers, Dordrecht (1991)
Pawlak, Z., Skowron, A.: Rudiments of rough sets. Information Sciences 177, 3–27 (2007)
Pawlak, Z., Skowron, A.: Rough sets: Some extensions. Information Sciences 177, 28–40 (2007)
Pawlak, Z., Skowron, A.: Rough sets and Boolean reasoning. Information Sciences 177, 41–73 (2007)
Edwards, J.: Matroids and the greedy algorithm. Mathematical Programming 1, 127–136 (1971)
Oxley, J.: Matroid Theory. Oxford University Press, Oxford (2006)
Pawlak, Z.: Rough logic. Bulletin of the Polish Academy of Sciences, Technical Sciences 35, 253–258 (1987)
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Marek, V.W., Skowron, A. (2014). Rough Sets and Matroids. In: Peters, J.F., Skowron, A. (eds) Transactions on Rough Sets XVII. Lecture Notes in Computer Science, vol 8375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54756-0_4
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DOI: https://doi.org/10.1007/978-3-642-54756-0_4
Publisher Name: Springer, Berlin, Heidelberg
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