This paper proposes an extended bipolar argumentation model, named extended bipolar argumentation framework (EBAF). In this model, attack and support relations are considered as two independent semantic relations and there exist recursive interactions among attacks and supports. In other words, there are attacks or supports for the attack and support relations without limits. This paper focuses on the determination of acceptable set of EBAF. First the attack and support relations are separated, and the argumentation framework with only attack and support relations are obtained as results. Second the attacks and supports are considered as entities that convert the recursive attacks and supports into attacks and supports under relation perspective. On this basis, basic semantic concepts and acceptability of EBAF are defined and the determination algorithm of acceptable set of EBAF is provided. Finally, this paper provides a comparison with other relative argumentation models.