Since software integration research has yielded a variety of different concepts, we survey and discuss EAI (Enterprise Application Integration terminology, in the domain of the quality properties, known as Quality of Services (QoS) offered by the EAI middleware. The main goal of this work is to establish a correspondence or mapping between the ISO standard definitions and the terminology used in the description of the QoS provided by the EAI middleware. Our aim is to give the EAI software community an easy way to "standardize" and unify their terminology using our mapping, without loosing the advantage of using the current notions employed by users and practitioners. A standard quality model, based on the ISO-9126-1 for EAI middleware and integrated information systems (Enterprise Systems) has been defined to achieve this goal. Our result can be used as a basic element or starting point towards an ontology for software quality in the EAI domain.