References
- Anderson, F. W., & Fuller, K. R. (1992). Rings and categories of modules (2nd ed.).New York, NY: Springer-Verlag.
- Biswas, R., & Nanda, S. (1994). Rough groups and rough subgroups. Bulletin of the Polish Academy of Sciences Mathematics, 42, 251–254.
- Bonikowaski, Z. (1995). Algebraic structures of rough sets. In W. P. Ziarko (Ed.), Rough sets, fuzzy sets and Knowledge discovery (pp. 242–247). Berlin: Springer-Verlag.
- Cartan, H., & Eilenberg, S. (1956). Homological algebra. Princeton, NJ: Princeton University Press.
- Chakraborty, M. K., & Banergee, M. (1994). Logic and algebra of the rough sets. In W. P. Ziarko (Ed.), Rough sets, fuzzy sets and knowledge discovery (pp. 196–207). London: Springer-Verlag.
- Davvaz, B. (2004). Roughness in rings. Information Sciences, 164, 147–163. Retrieved from http://www.sciencedirect.com/science/article/pii/S0020025503003438. doi:10.1016/j.ins.2003.10.001
- Davvaz, B., & Mahdavipour, M. (2006). Roughness in modules. Information Sciences, 176, 3658–3674. Retrieved from http://www.sciencedirect.com/science/article/pii/S0020025506000466. doi:10.1016/j.ins.2006.02.014
- Goldhaber, J. K., & Enrich, G. (1970). Algebra. London: Macmillan.
- Han, S. (2001). The homomorphism and isomorphism of rough groups. Academy of Shanxi University, 24, 303–305.
- Irfan Ali, M., Davvaz, B., & Shabir, M. (2013). Some properties of generalized rough sets. Information Sciences, 224, 170–179. Retrieved from http://www.sciencedirect.com/science/article/pii/S0020025512006913. doi:10.1016/j.ins.2012.10.026
- Iwinski, T. (1987). Algebraic approach to rough sets. Bulletin of the Polish Academy of Sciences Mathematics, 35, 673–683.
- Jacobson, N. (1951). Lecture in abstract algebra, 1, Basic concepts. New York, NY: Springer-Verag.
- Kryszkiewicz, M. (1998). Rough set approach to incomplete information systems. Information Sciences, 112, 39–49. Retrieved from http://www.sciencedirect.com/science/article/pii/S0020025598100191. doi:10.1016/S0020-0255(98)10019-1
- Kuroki, N. (1997). Rough ideals in semigroups. Information Sciences, 100, 139–163. Retrieved from http://www.sciencedirect.com/science/article/pii/S0020025596002745. doi:10.1016/S0020-0255(96)00274-5
- Kuroki, N., & Mordeson, J. N. (1997). Structure of rough sets and rough groups. Journal of Fuzzy Mathematics, 5, 183–191.
- Li, F., & Zhang, Z. (2014). The homomorphisms and operations of rough groups. The Scientific World Journal, 2014, Article ID: 635783, 6 p. doi:10.1155/2014/507972
- Miao, D., Han, S., Li, D., & Sun, L. (2005). Rough group, Rough subgroup and their properties. Lecture Notes in Artificial Intelligence, 3641, 104–113.
- Pattaraintakorn, P., & Cercone, N. (2008). Integrating rough set theory and its medical applications. Applied Mathematics Letters, 21, 400–403. Retrieved from http://www.sciencedirect.com/science/article/pii/S0893965907001632. doi:10.1016/j.aml.2007.05.010
- Pawlak, Z. (1982). Rough sets. International Journal of Information and Computer Sciences, 11, 341–356. Retreived from http://link.springer.com/article/10.1007
- Pawlak, Z. (1984). Rough classification. International Journal of Man-Machine Studies, 20, 469–483.
- Pawlak, Z. (1987). Rough logic. Bulletin of the Polish Academy of Sciences Technical Sciences, 35, 253–258.
- Pawlak, Z. (1991). Rough sets-theoretical aspects of reasoning about data. Dordrecht: Kluwer.
- Pawlak, Z. (1992). Rough sets: A new approach to vagueness. In L. A. Zadeh & J. Kacprzyk (Eds.), Fuzzy logic for the management of uncertainty (pp. 105–118). New York, NY: Wiley.
- Pawlak, Z. (1998). Granularity of knowledge, indiscernibility and rough sets,. In Proceedings of 1998 IEEE International Conference on Fuzzy Systems (pp. 106–110). Anchorage, AK. doi:10.1109/FUZZY.1998.687467
- Prakash, A., & Sinha, A. K. (2014). Rough projective module. International Conference on Advances in Applied Science and Environmental Engineering---ASEE 2014 (pp. 35–38). Retrieved from http://www.seekdl.org/search.php?page=825&&jayshri&&&&&&&&&&. doi:10.15224/978-1-63248-033-0-09
- Rasouli, S., & Davvaz, B. (2014). An investigation on algebraic structure of soft sets and soft filters over residuated lattices. ISRN Algebra, 2014, Article ID: 635783, 8 p. doi:10.1155/2014/635783
- Rebenboim, P. (1969). Rings and modules (No. 24). New York, NY: Interscience.
- Rowen, L. H. (1991). Ring theory (student ed.). New York, NY: Academic Press.
- Sinha, A. K., & Prakash, A. (2014, November 10--12). Roughness in free module. In The First International Conference on Rough Sets & Knowledge Technologies India (pp. 19–22). Hyderabad.
- Walczak, B., & Massart, D. L. (1997). Rough set theory. Chemometrics and Information Laboratory Systems, 47, 1–16. doi:10.1016/S0169-7439(98)00200-7.
- Wang, C., & Chen, D. (2010). A short note on some properties of rough groups. Computer and Mathematics with Applications, 59, 431–436. Retrieved from http://www.sciencedirect.com/science/article/pii/S0898122109004003. doi:10.1016/j.camwa.2009.06.024
- Wang, D.-s. (2004). Application of the theory of rough set on the groups and rings ( Dissertation for master degree).
- Xin, X. L., Hua,, X. J., & Zhu, X. (2014). Roughness in lattice ordered effect algebras. The Scientific World Journal, 2014, Article ID: 542846, 9 p. doi:10.1155/2014/542846
- Yao, Y. Y. (1996). Two views of the theory of rough sets in finite universes. International Journal of Approximation Reasoning, 15, 291–317. doi:10.1016/S0888-613X(96)00071-0.
- Yao, Y. Y. (1998). constructive and algebraic methods of the theory of rough sets. Information Sciences, 109, 21–44. doi:10.1016/S0020-0255(98)00012-7
- Zhang, Q.-F., Fu, A.-M., & Zhao, S.-x. (2006, August 13--16). Rough modules and their some properties. In Proceeding of the fifth International Conference on Machine Learning and Cybernatics. Dalin. Retrieved from http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4028446&tag=1. doi:10.1109/ICMLC.2006.258675