Software design and development hold so many inconsistencies when it comes to build composable and scalable structures. However, software architectures could be an efficient solution if considered with additional features like the composition of such architectures by linking different hierarchized views formally together. Thus, this paper presents a new contribution of a multi-views/multi-hierarchy software architecture that is consistent with the ISO/IEC/IEEE 42010 standard, and that presents a way for defining formally the consistencies between its different views and hierarchy levels.