In this paper by classification in the ordering of intuitionistic fuzzy functions, we have some new ordered semi-linear spaces of intuitionistic fuzzy processes \(L^{*}\). Modeling the intuitionistic fuzzy differential equations will be the ideal model to represent the transformation of the pair of closely related states. For the applications, we have considered the model that describes the pair of states are closely related, for example, the oriental philosophy and economic competitiveness models.