Hedges in quasi-pseudo-MV algebras

In this paper, we introduce the notions of multiplicative interior operators (mi-operators, for short), additive closure operators (ac-operators, for short) and hedges in quasi-pseudo-MV algebras which will generalize the related contents in pseudo-MV algebras. First we discuss the relationship between mi-operators and ac-operators in a quasi-pseudo-MV algebra and investigate the properties of mi-operators in quasi -pseudo-MV algebras. Second we define and study hedges in quasi-pseudo-MV algebras. We also show that mi-operators are hedges. Finally, the properties of filters and weak filters in a quasi-pseudo-MV algebra with hedge are discussed.