Bull. Korean Math. Soc. 2004 Vol. 41, No. 1, 167-179 Printed March 1, 2004
Yong Lin Liu, San Yang Liu, and Jie Meng Xidian University, Xidian University, Northwest University
Abstract : The notions of $FSI$-ideals and $FSC$-ideals in BCI-algebras are introduced. The characterization properties of $FSI$-ideals and $FSC$-ideals are obtained. We investigate the relations between $FSI$-ideals (resp. $FSC$-ideals) and other fuzzy ideals, between $FSI$-ideals (resp. $FSC$-ideals) and BCI-algebras, and show that a fuzzy subset of a BCI-algebra is an $FSI$-ideal if and only if it is both an $FSC$-ideal and a fuzzy BCI-positive implicative ideal.