Falling Fuzzy Quasi-Associative Ideals of Bci-Algebras


Young Bae Jun, Seok Zun Song




As a generalization of a fuzzy quasi-associative ideal of a BCI-algebra, the notion of a falling fuzzy quasi-associative ideal of a BCI-algebra is introduced by using the theory of a falling shadow. Relations between falling fuzzy ideals and falling fuzzy quasi-associative ideals are given. Conditions for a falling fuzzy ideal to be a falling fuzzy quasi-associative ideal are provided.