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http://dx.doi.org/10.4134/BKMS.2004.41.1.167

FSI-IDEALS AND FSC-IDEALS OF BCI-ALGEBRAS  

Liu, Yong-Lin (Department of Applied Mathematics, Xidian University)
Liu, San-Yang (Department of Applied Mathematics, Xidian University)
Meng, Jie (Department of Mathematics, Northwest University)
Publication Information
Bulletin of the Korean Mathematical Society / v.41, no.1, 2004 , pp. 167-179 More about this Journal
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;
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