Neutrosophic Implicative N-ideals in KU-algebras

Neutrosophic Commutative N -Ideals in BCK-Algebras

Seok-Zun Song 1,* ID , Florentin Smarandache 2 and Young Bae Jun 3 1 Department of Mathematics, Jeju National University, Jeju 63243, Korea 2 Department of Mathematics & Science, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA; [email protected] 3 Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea; [email protected] * Correspondence: sz...

Fuzzy n-Fold BCI-Positive Implicative Ideals in BCI-Algebras

ON n-FOLD FUZZY IMPLICATIVE/COMMUTATIVE IDEALS OF BCK-ALGEBRAS

We consider the fuzzification of the notion of an n-fold implicative ideal, an n-fold (weak) commutative ideal. We give characterizations of an n-fold fuzzy implicative ideal. We establish an extension property for n-fold fuzzy commutative ideals. 2000 Mathematics Subject Classification. 06F35, 03G25, 03E72.

ON n-FOLD FUZZY POSITIVE IMPLICATIVE IDEALS OF BCK-ALGEBRAS

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. 2000 Mathematics...

Positive implicative vague ideals in BCK-algebras

The notion of positive implicative vague ideals in BCKalgebras is introduced. A relation between a vague ideal and a positive implicative vague ideal is discussed. Characterizations of a positive implicative vague ideal are considered. 2010 AMS Classification: 06F35, 03G25, 03E72