Abstract
The classical rough set theory mostly emphasizes the differentiation among the elements of the universe, but does not investigate the structure of the universe. This paper extends rough set theory from the set to the system, making it not only can well classify elements of the universe but also can reveal the interrelation among elements of the universe. Then some properties about the approximation operators are discussed. Finally, some examples of rough sets of system are given.
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References
Pawlak, Z.: Rough sets. Internal Journal of Computer and Information Science 11, 341–356 (1982)
Pawlak, Z.: Rough sets: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Boston (1991)
Yao, Y.Y.: Two views of the theory of rough sets in finite universes. International Journal of Approximate Reasoning 15, 291–317 (1996)
Yao, Y.Y., Lin, T.Y.: Generalization of rough sets model using logic. Intelligent Automation and Soft Computing, an International Journal 2, 103–120 (1996)
Yao, Y.Y.: Relational interpretations of neighborhood operators and rough set approximation operators. Information Sciences 111, 239–259 (1998)
Slowinski, R., Vanderpooten, D.: A Generalized definition of rough approximations based on similarity. IEEE Transactions on Knowledge and Data Engineering 12, 331–336 (2000)
Salvatore, G., Benedetto, M., Slowinski, R.: Rough approximation by dominance relations, in: A Rough sets Approach to Knowledge Discovery. International Journal of Intelligent Systems 17, 153–171 (2002)
Pawlak, Z.: Rough sets, rough relations and rough functions. Fundamenta Informaticae 27, 103–108 (1996)
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© 2007 Springer-Verlag Berlin Heidelberg
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Qiu, D., Shu, L. (2007). Rough Sets of System. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_88
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DOI: https://doi.org/10.1007/978-3-540-71441-5_88
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71440-8
Online ISBN: 978-3-540-71441-5
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