Abstract
A generalization of the original idea of rough sets as introduced by Pawlak is presented. The generalization, called the Variable Precision Rough Sets Model with Asymmetric Bounds, is aimed at modeling data relationships expressed in terms of frequency distribution rather than a full inclusion relation. The model presented is a direct extension of the previous concept, the Variable Precision Rough Sets Model. The properties of the extended model are investigated and compared to the original model.
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References
Pawlak, Z. Rough Sets, International Journal of Information and Computer Sciences, 11, 5, (1982). pp. 341–356.
Pawlak, Z. Rough Classification, International Journal of Man-Machine Studies, 20, (1984), pp. 469–483.
Pawlak, Z. Rough Sets - Theoretical Aspects of Reasoning about Data,Kluwer Academic Publishers, (1991), Book pp. 229.
Ziarko, W. Variable Precision Rough Sets Model, Journal of Computer and Systems Sciences, vol. 46. no. 1, 1993, pp. 39–59.
Pawlak, Z., Wong, S.K.M., Ziarko, W. Rough Sets: Probabilistic versus Deterministic Approach, International Journal of Man-Machine Studies, vol. 29, 1988, pp. 81–95.
Marek, W., Pawlak, Z. Rough Sets and Information Systems, Fundamenta Informaticae, 17, 1, (1984), pp. 105–115.
Orlowska, A., Pawlak, Z. Expressive Power of Knowledge Representation, International Journal of Man-Machine Studies, 20, (1984), pp. 458–500.
Wasilewska, A. Syntactic Decision Procedures in Information Systems, International Journal of Man- Machine Studies, 30 (1989), pp. 273–285.
Skowron, A., Rauszer, C. The Discernibility Matrices and Functions in Information Systems, ICS Research Report 1/91, Technical University of Warsaw 1991, pp. 1–44.
Ziarko, W., Shan, N. A Rough Set-Based Method for Computing All Minimal Deterministic Rules in Attribute Value Systems, C.S. Department, University of Regina, Report 2/93.
Kryszkiewicz, M. and Rybinski, H. Finding Reducts in Composed Information Systems, in this volume.
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© 1994 British Computer Society
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Katzberg, J.D., Ziarko, W. (1994). Variable Precision Rough Sets with Asymmetric Bounds. In: Ziarko, W.P. (eds) Rough Sets, Fuzzy Sets and Knowledge Discovery. Workshops in Computing. Springer, London. https://doi.org/10.1007/978-1-4471-3238-7_21
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DOI: https://doi.org/10.1007/978-1-4471-3238-7_21
Publisher Name: Springer, London
Print ISBN: 978-3-540-19885-7
Online ISBN: 978-1-4471-3238-7
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