International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 9, Pages 525-537
doi:10.1155/S0161171201006135
On n-fold fuzzy positive implicative ideals of BCK-algebras
Young Bae Jun1
and Kyung Ho Kim2
1Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Korea
2Department of Mathematics, Chungju National University, Chungju 380-702, Korea
Abstract
We consider the fuzzification of the notion of an n-fold positive implicative ideal. We give characterizations of an n-fold fuzzy positive implicative ideal. We establish the extension property for n-fold fuzzy positive implicative ideals, and state a characterization of PIn-Noetherian BCK-algebras. Finally we study the normalization of n-fold fuzzy positive implicative ideals.