The mathematical model described here is an evolution of the one constructed within the studies [1-3] by De Santos and Villa, among others. This paper aims to formalize the concept of knowledge and its properties as a basis for creating generalized economic value functions [4], focusing on the business models of the current technological sector as the application environment. The main conclusions reached are focused on the improvement of the value of information and knowledge under the assumption of collective cooperation amongst information system agents, as well as the properties of the knowledge space derived from the model.