In this paper we define the concepts of good H-congruence
relations, weak positive implicative subsets, positive implicative
subsets, weak maximal hyper MV-filters and maximal hyper
MV-filters in hyper MV-algebras. We then use some of the above
notions to define quotient hyper MV-algebras. We state and prove
some related theorems with appropriate results. In particular, we
define the notion of the fundamental relation with its basic
properties.