title: On some fuzzy filters in pseudo-BCI algebras.
abstract: Some new properties of fuzzy associative filters (also known as fuzzy associative pseudo-filters), fuzzy p-filter (also known as fuzzy pseudo-p-filters), and fuzzy a-filter (also known as fuzzy pseudo-a-filters) in pseudo-BCI algebras are investigated. By these properties, the following important results are proved: (1) a fuzzy filter (also known as fuzzy pseudo-filters) of a pseudo-BCI algebra is a fuzzy associative filter if and only if it is a fuzzy a-filter; (2) a filter (also known as pseudo-filter) of a pseudo-BCI algebra is associative if and only if it is an a-filter (also call it pseudo-a filter); (3) a fuzzy filter of a pseudo-BCI algebra is fuzzy a-filter if and only if it is both a fuzzy p-filter and a fuzzy q-filter.
authors: College of Arts and Sciences, Shanghai Maritime University, Shanghai 201306, China.
authors: Xiaohong
authors: 0000-0003-2320-0884
authors: X
authors: Zhang
mesh_terms: D000465:Algorithms; D017143:Fuzzy Logic; D008433:Mathematics / Q000379:methods*; D009716:Numerical Analysis, Computer-Assisted