Positive Implicative-Artinian and Positive Implicative Noetherian Hyper Bck-Algebras

摘要

The notion of intuitionistic fuzzy positive implicative hyper BCK-ideals of type-1, 2... 8 of hyper BCK-algebras was introduced in 2012 by Durga Prasad, Satyanarayana and Ramesh. In this paper, we investigate some related properties of intuitionistic fuzzy positive implicative hyper BCK-ideals of types-1. We characterize positive implicative Artinian (shortly, PI-Artinian) hyper BCK-algebras of type-1 and positive implicative Noetherian (shortly, PI-Noetherian) hyper BCK-algebra of type-1.