TY - JOUR A2 - Dudek, Wieslaw A. AU - Zhang, Xiaohong PY - 2014 DA - 2014/04/08 TI - On Some Fuzzy Filters in Pseudo-BCI Algebras SP - 718972 VL - 2014 AB - 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. SN - 2356-6140 UR - https://doi.org/10.1155/2014/718972 DO - 10.1155/2014/718972 JF - The Scientific World Journal PB - Hindawi Publishing Corporation KW - ER -