$FSI$-ideals and $FSC$-ideals of BCI-algebras
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.
Keywords : $BCI$-algebra, $FSI$-ideal, $FSC$-ideal, fuzzy ideal
MSC numbers : 03G25, 06F35, 94D05
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