Making resources closer to the user might facilitate the integration of new technologies such as edge, fog, cloud computing, and big data. However, this brings many challenges shall be overridden when distributing a real-time stream processing, executing multiapplication in a safe multitenant environment, and orchestrating and managing the services and resources into a hybrid fog/cloud federation. In this article, first, we propose a business process model and notation (BPMN) extension to enable the Internet of Things (IoT)-aware business process (BP) modeling. The proposed extension takes into consideration the heterogeneous IoT and non-IoT resources, resource capacities, quality of service constraints, and so forth. Second, we present a new IoT-fog-cloud based architecture, which (i) supports the distributed inter and intralayer communication as well as the real-time stream processing in order to treat immediately IoT data and improve the entire system reliability, (ii) enables the multiapplication execution within a multitenancy architecture using the single sign-on technique to guarantee the data integrity within a multitenancy environment, and (iii) relies on the orchestration and federation management services for deploying BP into the appropriate fog and/or cloud resources. Third, we model, by using the proposed BPMN 2.0 extension, smart autistic child and coronavirus disease 2019 monitoring systems. Then we propose the prototypes for these two smart systems in order to carry out a set of extensive experiments illustrating the efficiency and effectiveness of our work. K E Y W O R D S business process modeling, cloud computing, fog computing, hybrid fog/cloud federation, IoT, smart autistic child monitoring system, smart COVID-19 disease monitoring system 1 INTRODUCTION The Internet of Things (IoT) solutions serve to bring the sensors, devices, and objects online. In this why, it could support the integration of a new set of applications and systems for the development of a smart environment aiming at improving the quality of life and resources usage. Obviously, the IoT based application, such as smart manufacturers, smart cities, smart health, remote monitoring and control, and so forth, may have very massive and continuous data fuses. Moreover, they have different requirements and they need a latency-sensitive support, which a cloud cannot provide. Recently, fog Ameni Kallel, Molka Rekik, and Mahdi Khemakhem are equally contributed to this work.