Rough Groups over Rough Sets

Yıl 2023, Cilt: 12 Sayı: 2, 88 - 92, 22.06.2023

Ramazan Yaşar

https://doi.org/10.46810/tdfd.1244775

Öz

In this study the rough algebraic structure especially on rough group is focused. The author make over the inadequate definition of rough group of an approximation space. Here, the rough groups over the rough sets is defined, in the sense of Pawlak's rough sets. Later, the structure of rough groups is given.

Anahtar Kelimeler

Rough Set, Approximation Space, Rough Group, Rough Subgroup

Kaynakça

• Banerjee MH, Chakraborty MK. Rough sets through algebraic logic. Fundam. Inform. 1996;28(3-4):211-221.
• Biswas R, Nanda S. Rough Groups and Rough Subgroups. Bull. Pol. AC. Math. 1994;42:251-254.
• Duentsch I, Orlowska E, Wang H. Algebras of approximating regions. Fundam. Inform. 2001;46(1-2):78-82.
• Iwinski TB. Algebraic approach to rough sets. Bull. Polish Acad. Sci. Math. 1987;35:673-683.
• Miao D, Han S, Li D, Sun L. Rough group, rough subgroup and their properties. Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. 2005:104-113.
• Pawlak Z. Rough Sets. International Journal of Computer and Information Sciences. 1982;11:341-356.
• Yao, YY. Generalized rough set models. Rough sets in knowledge discovery 1. 1998:286-318.