Motamed, S. & Torkzadeh, L. Soft Comput (2017) 21: 687. doi:10.1007/s00500-016-2043-z
In this paper, we introduce the notion of right stabilizers in BL-algebras and define a class of BL-algebras, called RS-BL-algebra. Then we investigate the relationships between the right and left stabilizers in BL-algebras. After that we define the concept of semi RS-BL-algebras and we prove that semisimple BL-algebras and semi RS-BL-algebras are RS-BL-algebra. Moreover, every finite RS-BL-algebra is a semi RS-BL-algebra. Finally, we introduce the concept of a semi-stabilizer and a stabilizer filter in a BL-algebra and we state and prove some theorems which determine the relationships between this notion and the other types of filters of a BL-algebra.