Some new properties of fuzzy associative filters (also known as fuzzy associative pseudo-filters), fuzzyp-filter (also known as fuzzy pseudo-p-filters), and fuzzya-filter (also known as fuzzy pseudo-a-filters) in pseudo-BCIalgebras are investigated. By these properties, the following important results are proved: (1) a fuzzy filter (also known as fuzzy pseudo-filters) of a pseudo-BCIalgebra is a fuzzy associative filter if and only if it is a fuzzya-filter; (2) a filter (also known as pseudo-filter) of a pseudo-BCIalgebra is associative if and only if it is ana-filter (also call it pseudo-afilter); (3) a fuzzy filter of a pseudo-BCIalgebra is fuzzya-filter if and only if it is both a fuzzyp-filter and a fuzzyq-filter.