Abstract: There are two facts that can not adapt to the equipment systems evolution and therefore demonstrates comprehension limitation constraints. One is the different levels of traditional concepts between the equipment system of systems and the integrated electronic information systems namely C4ISR with discrete research status on them, the other one is the actual fusion integrated development trends on the network information technology with equipment and the joint operational requirements. Modeling theories for equipment system of systems cognitive computing with big data has been an opportunity for the actual demands on the dynamic evolutions of equipment system of systems. Taking into account the characteristics that the total factors co-evolution, dynamic complexity, confrontational and human factors are the Key elements in the evolution of systems, a theory framework is proposed to construct dynamic evolution model under the meaning of joint operations using formal concept cognitive computing with the granular computing as the framework. Firstly, the epistemological structure for evolution modeling of equipment system of systems is argued from three aspects demands that are systems epistemology, knowledge-based modeling Theory and information granularity cognitive. Then a conceptual knowledge evolution modeling technology framework based on cognitive computing for dynamic evolution modeling of ESoS from the perspective of human-centricity mechanisms is proposed.