There is an intimate correlation between rough set theory and formal concept analysis theory, so rough set approximations can be realized by means of formal concept analysis. For any given multiple valued information system, the realization of rough set approximation operation has two major steps, firstly convert the information system from multiple valued one to single valued formal context, secondly realize rough set approximation operations aided by concept lattice, which is equivalent to a query operation under some necessary conditions.
Cite this paper
Zhi, H. (2014) Realization of Rough Set Approximation Toplogical Operations Based on Formal Concept Analysis. International Journal of Intelligence Science
, 65-69. doi: 10.4236/ijis.2014.43008
 Pawlak, Z. (1991) Rough Sets—Theoretical Aspects of Reasoning about Data. Kluwer Academic, Dordrecht.
 Ganter, B. and Wille, R. (l999) Formal Concept Analysis: Mathematical Foundation. Springer-Verlag, New York.
 Kent, R.E. (1994) Rough Concept Analysis. In: Ziarko, W.P., Ed., Rough Sets and Fuzzy Sets Knowledge Discovery, Springer-Verlag, London, 248-255. http://dx.doi.org/10.1007/978-1-4471-3238-7_30
 Yao, Y.Y. (2004) Concept Lattices in Rough Set Theory. In: Dick, S., Kurgan, L., Pedrycz, W. and Reformat, M., Eds., Proceedings of the 2004 Annual Meeting of the Noah American Fuzzy Information Processing Society, Banff, 27-30 June 2004, 796-801.
 Qu, K.S., Zhai, Y.H., Liang, J.Y., et al. (2007) Representation and Extension of Rough Set Theory Based on Formal Concept Analysis. Journal of Software, 18, 2174-2182. http://dx.doi.org/10.1360/jos182174
 Pawlak, Z. (1998) Granularity of Knowledge, Indiscernibility and Rough Sets. The 1998 IEEE International Conference on Fuzzy Systems Proceedings—IEEE World Congress on Computational Intelligence, Anchorage, 4-9 May 1998, 106-110.
 Wu, C., Yue, Y., Li, M., et al. (2004) The Rough Set Theory and Applications. Engineering Computations, 21, 488-511. http://dx.doi.org/10.1108/02644400410545092
 Scaife, M. and Rogers, Y. (1996) External Cognition: How Do Graphical Representations Work. International Journal of Human Computer Studies, 45, 185-213.
 Godin, R., Missaoui, R. and Alaoui, H. (1995) Incremental Concept Formation Algorithms Based on Galois (coNcept) Lattices. Computational Intelligence, 11, 246-267. http://dx.doi.org/10.1111/j.1467-8640.1995.tb00031.x