Commenced in January 2007
Paper Count: 32451
On Generalizing Rough Set Theory via using a Filter
Abstract:The theory of rough sets is generalized by using a filter. The filter is induced by binary relations and it is used to generalize the basic rough set concepts. The knowledge representations and processing of binary relations in the style of rough set theory are investigated.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1076712Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1709
 J.Jarvinen, On the structure of rough approximations, Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing, LNAI 2475, 123-130, 2002.
 J. Kelley, General Topology, Van Nostrand Company, 1955.
 ] E.F. Lashin, A.M. Kozae, A.A. Abo Khadra, T. Medhat, Rough set theory for topological spaces, Internat. J. Approx. Reason. 40 (2005) 35-43 37
 T.Y. Lin, Topological and fuzzy rough sets, in: R. Slowinski (Ed.), Decision Support by ExperienceÔÇö Application of the Rough Sets Theory, Kluwer Academic Publishers, 1992, pp. 287-304.
 T.Y. Lin, Granular computing on binary relations II: Rough set representations and belief functions, in: A. Skowron, L. Polkowski (Eds.), Rough Sets In Knowledge Discovery, Physica-Verlag, 1998, pp. 121-140.
 T.Y. Lin, Granular computing on binary relation I: Data mining and neighborhood systems, in: Rough Sets In Knowledge Discovery, Physica-Verlag, 1998, pp. 107-121.
 Z. Pawlak, Rough sets, Int. J. Comput. Inform. Sci. 11 (5) (1982) 341- 356.
 Z. Pawlak, Granularity of knowledge, indiscernibility and rough sets, in: Proceedings of 1998 IEEE International Conference on Fuzzy Systems, Anchorage, AK, vol. 1, May 1998, pp. 106-110.
 Z. Pawlak, Rough Sets: Theoretical Aspects of Reasoning about Data, Kluwer Academic, Boston, 1991.
 Z. Pawlak, A. Skowron: Rough membership function, in: R. E Yeager, M. Fedrizzi and J. Kacprzyk (eds.), Advaces in the Dempster-Schafer of Evidence, Wiley, New York, 1994, 251-271
 J.A.Pomykala, Approximation operations in approximation space, Bulletin of Polish Academy of Sciences, Mathematics, 35 (1987), 653- 662.
 U.Wybraniec-Skardowska, On a generalization of approximation space, Bulletin of the Polish Academy of Sciences, Mathematics, 37 (1989), 51-61.
 Y.Y. Yao, Rough sets, neighborhood systems, and granular computing, in: Proceedings of 1999 IEEE Canadian Conference on Electrical and Computer Engineering, Edmonton, Alberta, Canada, May 1999, vol. 3, pp. 1553-1558.
 Y.Y. Yao, Granular computing using neighborhood systems, in: R. Roy, T. Furuhashi, P.K. Chawdhry (Eds.), Advances in Soft Computing: Engineering Design and Manufacturing, Springer-Verlag, New York, 1999, pp. 539-553.
 Y.Y. Yao, Two views of the theory of rough sets infinite universes, International Journal of Approximation Reasoning, 15 (1996), 291-317.
 Y.Y. Yao, On generalizing Pawlak approximation operators, Proceedings of the First International Conference, RSCTC'98, LNAI 1424, 298-307, 1998.
 Y.Y.Yao, Constructive and algebraic methods of the theory of rough sets, Information Sciences, 109(1998), 21-47.
 Y.Y.Yao, Generalized rough set models, in: Rough Sets in Knowledge Discovery, Polkowski, L. and Skowron, A. (Eds.), Physica-Verlag, Heidelberg, 286-318, 1998.
 Y.Y.Yao, Relational interpretations of neighborhood operators and rough set approximation operators, Information Sciences, 111(1998), 239-259.
 Y.Y.Yao, Information granulation and rough set approximation, International Journal of Intelligent Systems, 16(2001), 87-104.
 Y.Y.Yao, and Lin, T.Y. Generalization of rough sets using modal logic, Intelligent Automation and Soft Computing, An International Journal, 2(1996), 103-120.
 Y.Y.Yao, , Wong, S.K.M. and Lin, T.Y. A review of rough set models, in: Rough Sets and Data Mining: Analysis for Imprecise Data, Lin, T.Y. and Cercone, N. (Eds.), Kluwer Academic Publishers, Boston, 47-75, 1997.
 Y.Y. Yao, On generalizing rough set theory, Proceedings of the 9th International Conference on Rough Sets,Fuzzy Sets, Data Mining, and Granular Computing (RSFDGrC 2003), LNAI 2639, Chongqing, China, May 26-29, pp. 44-51, 2003.
 Y.Y.Yao, and Lin, T.Y. Generalization of rough sets using modal logic, Intelligent Automation and Soft Computing, 2 (1996), 103-120.
 Y.Y.Yao, and Wang, T. On rough relations: an alternative formulation, Proceedings of The Seventh International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, LNAI 1711, 82-90, 1999.
 Y.Y.Yao, Wong, S.K.M. and Lin, T.Y. A review of rough set models, in: Rough Sets and Data Mining: Analysis for Imprecise Data, Lin, T.Y. and Cercone, N.(Eds.), Kluwer Academic Publishers, Boston, 47-75, 1997.
 W.Zakowski, Approximations in the space (U;¤Ç), Demonstratio Mathematica, 16 (1983), 761-769.