Generalized Fuzzy Ideals of BCI-Algebras
Bulletin of the Malaysian Mathematical Society, Tome 32 (2009) no. 2
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The notions of -fuzzy BCI-positive implicative (resp., BCI-implicative, BCI-commutative) ideals in BCI-algebras are introduced, and related properties are investigated. Some characterization theorems of these generalized fuzzy ideals are derived. The relationship among these generalized fuzzy ideals of BCI-algebras is considered. We also consider the concept of implication-based fuzzy implicative ideals in BCI-algebras. In particular, we discuss the implication operators in Lukasiewicz system of continuous-valued logic.
Classification :
06F35, 03G10, 03B52.
@article{BMMS_2009_32_2_a1,
author = {Jianming Zhan and Young Bae Jun},
title = {Generalized {Fuzzy} {Ideals} of {BCI-Algebras}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2009},
volume = {32},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2009_32_2_a1/}
}
Jianming Zhan; Young Bae Jun. Generalized Fuzzy Ideals of BCI-Algebras. Bulletin of the Malaysian Mathematical Society, Tome 32 (2009) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2009_32_2_a1/