L. TORKZADEH - ISLAMIC AZAD UNIVERSITY KERMAN
H. HOJAT - ISLAMIC AZAD UNIVERSITY KERMAN

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.

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