POSITIVE IMPLICATIVE HYPER MV -IDEALS OF TYPES 1,2,3, AND 4

In this paper rst we de ne the notions of positive implicativehyper MV -ideals of types 1,2,3 and 4 in hyper MV -algebras and we investigatethe relationship between of them . Then by some examples we show that thesenotions are not equivalent. Finally we give some relations between these notionsand the notions of (weak) hyper MV -ideals and (weak) hyper MV -deductivesystems of hyper MV -algebras.

Keywords:

Hyper MV -algebra , Hyper MV -ideal , Hyper MV -deductive system , Positive implicative hyper MV -ideal