On α-filters of BL-algebras

Article type: Research Article

Authors: Haveshki, Masoud | Mohamadhasani, Mahboobeh

Affiliations: Department of Mathematics, Hormozgan University, Bandarabas, Iran

Note: [] Corresponding author. Masoud Haveshki, Department of Mathematics, Hormozgan University, Bandarabas, Iran. E-mails: [email protected], [email protected] (Masoud Haveshki); [email protected], [email protected] (Mahboobeh Mohamadhasani).

Abstract: We introduce the notion of α-filters in BL-algebras and then state and prove some theorems which determine the relationships of these filters and other filters in BL-algebras. Some properties of the lattice of all α-filters are investigated too.

Keywords: BL-algebra, α-filter, complete Browerian lattice, pseudocomplemented lattice, algebraic lattice

DOI: 10.3233/IFS-141313

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 1, pp. 373-382, 2015