Title :
Fuzzy T-type filters in pseudo-BCI algebras
Author :
Xiaohong Zhang ; Xiaoyan Mao
Author_Institution :
Coll. of Arts & Sci., Shanghai Maritime Univ., Shanghai, China
Abstract :
A new notion of fuzzy T-type filter in pseudo-BCI algebra is introduced, some properties and equivalent conditions are presented. The relationship among fuzzy T-type filters, fuzzy q-filters and fuzzy associative filters are discussed, the following results are proved: (1) every fuzzy q-filter of a pseudo-BCI algebra X is a fuzzy T-type filter of X; (2) a fuzzy filter of a pseudo-BCI algebra X is a fuzzy associative filter of X if and only if it is both a fuzzy T-type filter and a fuzzy p-filter of X. For a fuzzy T-type filter to be a fuzzy q-filter, necessary and sufficient conditions are given. Moreover, an open problem on fuzzy T-type filter is proposed.
Keywords :
algebra; fuzzy logic; fuzzy set theory; fuzzy T-type filter; fuzzy logic; pseudoBCI algebra; Algebra; Art; Educational institutions; Electronic mail; Fuzzy logic; Fuzzy systems; Knowledge discovery; Fuzzy T-type filter; Fuzzy associative filter; Fuzzy p-filter; Fuzzy q-filter; Pseudo-BCI algebra;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2014 11th International Conference on
Conference_Location :
Xiamen
Print_ISBN :
978-1-4799-5147-5
DOI :
10.1109/FSKD.2014.6980800
