Internet of Everything is aiming in connecting everything with internet. It is an extended concept of Internet of things. Hence, Internet of Everything systems are more complex comparative to internet of things systems. Modeling these Internet of Everything based systems is tricky. When there are fuzzy values involved in modeling any system then it is better to use fuzzy logic modeling. Fuzzy logic provides better and more accurate results comparative to traditional modeling approaches. Every modeling approach has its own strengths and weak nesses. In this paper we propose a framework for modeling cognitive fuzzy Internet of Everything systems. This framework uses concepts of Agent-based Modeling, Network-based Modeling, Fuzzy-logic Modeling and Aspect-oriented Modeling. For the proof of concept, we used a scenario example of an Internet of Everything system. We modeled the scenario using our framework. We identified different agents from the scenario, we extracted different symmetric and asymmetric relations and showed relations amongagents in graphical representation. We implemented the fuzzy logic inference using Matlab Fuzzy logic toolbox for proof of concept. This framework provides a mechanism for more detailed Cognitive Fuzzy Internet of Everything models.