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FSI-IDEALS AND FSC-IDEALS OF BCI-ALGEBRAS
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 Title & Authors
FSI-IDEALS AND FSC-IDEALS OF BCI-ALGEBRAS
Liu, Yong-Lin; Liu, San-Yang; Meng, Jie;
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 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;
 Language
English
 Cited by
4time(s) in CrossRef
1.
On characterizations of generalized fuzzy ideals of BCI-algebras, International Journal of Computer Mathematics, 2009, 86, 12, 1989  crossref(new windwow)
2.
BCI-implicative ideals of BCI-algebras, Information Sciences, 2007, 177, 22, 4987  crossref(new windwow)
3.
Non-commutative residuated lattices based on soft sets, Journal of Intelligent & Fuzzy Systems, 2015, 29, 5, 2271  crossref(new windwow)
4.
Some kinds of (∈,∈∨q)-interval-valued fuzzy ideals of BCI-algebras, Information Sciences, 2008, 178, 19, 3738  crossref(new windwow)
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