### ROUGH TOPOLOGY ON APPROXIMATION SPACES

#### Abstract

#### Keywords

#### Full Text:

PDF#### References

M. E. Abd El-Monsef, O. A. Embaby and M. K. El-Bably, "Comparison between Rough Set Approximations Based on Different Topologies", International Journal of Granular Computing, Rough Sets and Intelligent Systems, Vol. 3(4), 2014, pp 292 - 305.

E. A. Abo-Tabl, "Rough Sets and Topological Spaces Based on Similarity", International Journal of Mathematics Learning and Cybernetics, DOI 10.1007/s13042-012-0107-7.

K. Anitha, "Rough Set Theory on Topological Spaces", Rough Sets and Knowledge Technology LNAI 8818, Springer 2014, pp 69 - 74.

T. Herawan and M. M. Deris, "Rough Set Theory for Topological Spaces in Information Systems", in proceedings of Third Asia International Conference on Modelling and Simulation, 2009, pp 107 - 112.

T. Herawan, "Roughness of Sets Involving Dependency of Attributes in Information Systems", International Journal Software Engineering and its Applications, Vol. 9(7), 2015, pp 111 - 126.

M. J. Iqlan, M. S. Marouf and M. S. Shulaq, "Approximations of Sets in Topological Spaces", International Research Journal of Pure Algebra, Vol. 4(12), 2014, pp 636 - 643.

T. B. Iwinski, "Algebraic Approach to Rough Sets", Bulletin of the Polish Academy of Science and Mathematics, Vol. 35, 1987, pp 673-683.

J. Jarvinen, "The Ordered Structure of Rough Sets". in RSCTC 2004, LNAI 3066, eds S. Tsumoto et al., Springer- Verlag, Berlin, 2004, pp 49–58.

J. Kelley, General Topology, Van Nostrand Company, 1955.

M. Kondo and W. A. Dudek, "Topological Structures of Rough Sets Induced by Equivalence Relations", Journal of advanced computational Intelligence and Intelligent Informatics, Vol. 10(5), 2006 pp 621 - 624.

M. Kondo, "On the Structure of Generalized Rough Sets", Information Sciences, Vol. 176, 2006, pp 589 - 600.

E. F. Lashin, A. M. Kozae, A. A. Abo Khadra and T. Medhat, "Rough Set Theory for Topological Spaces", International Journal of Approximate Reasoning, Vol. 40, (2005, pp 35 - 43.

Z. Li, "Topological Properties of Generalized Rough Sets", Proceedings of the Seventh International Conference on Fuzzy Systems and Knowledge, 2010, pp 2067 - 2070.

Li, T. Xie and Q. Li, "Topological Structure of Generalized Rough Sets", Computers and Mathematics with Applications, Vol. 63, 2012, pp 1066 - 1071.

W. J. Liu, "Topological Space Properties of Rough Sets", Proceedings of the third IEEE International Conference on Machine Learning and Cybernetics, Shanghai, 2004, pp 2353-2355.

J. Mahanta and P. K. Das, "Topological Properties of Yao's Rough set", World Academy of Science, Engineering and Technology, Vol. 52, 2011, pp 922 - 924.

B. P. Mathew and S. J. John, "On Rough Topological Spaces", International Journal of Mathematical Archive, Vol. 3(9), 2012, pp 3413 - 3421.

Z. Pawlak, "Rough Sets", International Journal of Computer and Information Sciences, Vol. 11(5), 1982, pp 341 - 356.

Z. Pawlak, Rough Sets - Theoretical Aspect of Reasoning About Data, Kluwer Academic Publishers,The Netherlands, 1991.

Z. Pei, D. Pei and L. Zheng, "Topology Vs Generalized Rough Sets", International Journal of Approximate Reasoning, Vol. 52, 2011, pp 231 - 239.

Q. Qiao, "Topological Structure of Rough Sets in Reflexive and Transitive Relations", Proceedings of the Fifth International Conference on Bio-Medical Engineering and Informatics, 2012, pp 1585 - 1589.

M. Ravindran and A. J. Divya, "A Study of Compactness and Connectedness in Rough Topological Spaces", International Journal of Mathematics, Vol. 12(6), 2016, pp 01 - 07.

A. S. Salama, "Some Topological Properties of Rough Sets with Tools for Data Mining", International Journal of Computer Mathematics, Vol. 8(3)(2), 2011, pp 588 - 595.

A. S. Salama and M.E. Abd El-Monsef, "New Topological Approach of Rough set Generalizations", International Journal of Computer Science Issues, Vol. 8(3)(2), 2011, pp 588 - 595.

A. S. Salama, "Accurate Topological Measures for Rough Sets", International Journal of Advanced Research in Artificial Intelligence, Vol. 4(4), 2015, pp 31 - 37.

M. L. Thivagar, C. Richard and N. R. Paul, "Mathematical Innovations of a Modern Topology in Medical Events", International Journal of Information Science, Vol. 2(4), 2012, pp 33 - 36.

B. K. Tripathy and A. Mitra, "Some Topological Properties of Rough sets and their applications", International Journal of Granular Computing, Rough Sets and Intelligent Systems, Vol. 1(4), 2010, pp 355 - 369.

Q. Wu, T. Wang, Y. X. Huang and J. S. Li, "Topology Theory on Rough Sets", IEEE Transactions on Systems, Man and Cybernetics - part B. Cybernetics, Vol. 38(1), 2008, pp 68 -77.

H. Yu and W. R. Zhan, "On the Topological Properties of Generalized Rough Sets", Information Sciences, Vol. 263, 2014, pp 141 - 152.

DOI: https://doi.org/10.26483/ijarcs.v8i9.5028

### Refbacks

- There are currently no refbacks.

Copyright (c) 2017 International Journal of Advanced Research in Computer Science