Abstract—This paper studied the chaos of Lorenz chaotic attractors and the multiple composition factors of a complex product family, as a result, constructed a complex product family chaos model on the premise that overall factors would be stable. In addition, this paper discussed the system’s fuzzy definition that involved in the research on product family systematized design and how to construct a nonlinear dynamical system integratively, broadly defined the complex product1 family, analyzed the self-similar characteristics of complex product family chaos and evolution rules of patterns randomness and system wholeness in the chaos range, and verified the chaotic characteristics in complex product family system model as well.