Some types of filters in residuated lattices

Autor:	Dumitru Buşneag, Dana Piciu
Rok vydání:	2013
Předmět:	Discrete mathematics Hilbert algebra Boolean algebra (structure) MV-algebra Theoretical Computer Science symbols.namesake symbols Geometry and Topology Algebra over a field Connection (algebraic framework) Filter (mathematics) Residuated lattice Software Quotient Mathematics
Zdroj:	Soft Computing. 18:825-837
ISSN:	1433-7479 1432-7643
DOI:	10.1007/s00500-013-1184-6
Popis:	In this paper, inspired by some types of $$BL$$ B L -algebra filters (deductive systems) introduced in Haveshki et al. (Soft Comput 10:657---664, 2006), Kondo and Dudek (Soft Comput 12:419---423, 2008) and Turunen (Arch Math Log 40:467---473, 2001), we defined residuated lattice versions of them and study them in connection with Van Gasse et al. (Inf Sci 180(16):3006---3020, 2010), Lianzhen and Kaitai (Inf Sci 177:5725---5738, 2007), Zhu and Xu (Inf Sci 180:3614---3632, 2010). Also we consider some relations between these filters and quotient residuated lattice that are constructed via these filters.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::251cf5eb1415ad53f57142678596ecc4 https://doi.org/10.1007/s00500-013-1184-6 Zobrazit plný text záznamu Full text from SpringerLink