TY - JOUR T1 - DIRECT PRODUCTS OF ROUGH SUBGROUPS AU - Bağırmaz, Nurettin PY - 2019 DA - September DO - 10.18038/estubtda.508774 JF - Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering JO - Estuscience - Se PB - Eskisehir Technical University WT - DergiPark SN - 2667-4211 SP - 307 EP - 316 VL - 20 IS - 3 LA - en AB - In this study, we have defined theconcepts of direct products of the rough approximations and rough subgroups ina group. We have given some basic features about the subject described in thepresent article and we have also examined the homomorphic images of thesestructures. KW - Rough sets KW - rough group KW - rough subgroup KW - direct product. CR - [1] Pawlak Z. Rough sets, Int J Comput Inform Sci 1982; 11: 341-356. CR - [2] Pawlak Z. Rough sets and intelligent data analysis, Inform Sci 2002; 147(1-4): 1-12. CR - [3] Pawlak Z, Skowron A. Rough sets and Boolean reasoning. Inform Sci 2007; 177(1): 41-73. CR - [4] Zhan J, Liu Q, Herawan T. A novel soft rough set: Soft rough hemirings and correspondingmulticriteria group decision making, Applied Soft Computing 2017; 54: 393-402. CR - [5] Bonikowski Z. Algebraic structures of rough sets, in: W.P. Ziarko (Ed.), Rough Sets, Fuzzy Sets and Knowledge Discovery, Springer-Verlag, Berlin, 1995, pp. 242-247. CR - [6] Iwinski T. Algebraic approach to rough sets, Bull Polish Acad Sci Math 1987; 35: 673-683. CR - [7] Pomykala J, Pomykala J. A. The stone algebra of rough sets, Bull Polish Acad Sci Math 1998 ; 36: 495-508. CR - [8] Kuroki N, Wang P. P. The lower and upper approximations in a fuzzy group, Inform Sci 1996; 90: 203-220. CR - [9] Bağırmaz N, Özcan A F, İçen İ. Rough Approximations in a Topological Group, Gen Math Notes 2016; 36(2): 1-18. CR - [10] Cheng W, Mo Z, Wang J. Notes on "the lower and upper approximations in a fuzzy group" and "rough ideals in semigroups", Inform Sci 2007; 177: 5134-5140. CR - [11] Wang C, Chen D. A short note on some properties of rough groups, Comput Math Appl 2010; 59: 431-436. CR - [12] Wang C, Chen D, Hu Q. On rough approximations of groups, Int J Mach Learn & Cyber, 2013; 4(5): 445–449. CR - [13] Wang Z, Shu L. The lower and upper approximations in a grop, International Journal of Mathematical and Computational Sciences 2012; 6: 158-162. CR - [14] Li F, Zhang Z. The Homomorphisms and Operations of Rough Groups, The Scientific World Journal, Volume 2014, Article ID 507972, 6 pages. CR - [15] Biswas R, Nanda S. Rough groups and rough subgroups, Bull Polish Acad Sci Math 1994; 42: 251-254. CR - [16] Miao D, Han S, Li D, and Sun L. Rough Group, Rough Subgroup and Their Properties, D. Ślkezak et al. (Eds.): RSFDGrC 2005, LNAI 3641, pp. 104--113, 2005.© Springer-Verlag Berlin Heidelberg, 2005. CR - [17] Bağırmaz N, Özcan A F. Rough semigroups on approximation spaces, International Journal of Algebra 2015; 9(7): 339-350. CR - [19] Feyzioğlu A. K. A course on algebra, Boğaziçi University Publication, İstanbul, 1990. UR - https://doi.org/10.18038/estubtda.508774 L1 - https://dergipark.org.tr/en/download/article-file/816518 ER -