New representation for filters of BL-algebras

Article type: Research Article

Authors: Khorami, R. Tayebi | Saeid, A. Borumand

Affiliations: Department of Mathematics, Islamic Azad University, Kerman, Iran | Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

Note: [] Corresponding author. R. Tayebi Khorami, Department of Mathematics, Islamic Azad University, Kerman branch, Kerman, Iran. E-mails: [email protected] (R. Tayebi Khorami), [email protected] (A. Borumand Saeid).

Abstract: In this paper, we introduce the concept of TL-filter of BL-algebra and study some basic properties. TL-filter generated by L-subsets and the concept of T-congruence L-relations on BL-algebra are introduced and the relationships between TL-filters and T-congruence L-relations on BL-algebra are studied.

Keywords: BL-algebra, T-congruence, L-relation, TL-filter

DOI: 10.3233/IFS-2012-0513

Journal: Journal of Intelligent & Fuzzy Systems, vol. 23, no. 5, pp. 225-235, 2012