A theoretical and formal model for knowledge management systems

Knowledge management is now a huge domain, where it is difficult to have a clear view of the manipulated concepts and their crossed-relations. The development of that domain requires now a theoretical framework including concepts from various theories as Knowledge Economy, Information Systems, Knowledge theories (in particular Nonaka's theory), Communities of practice (Wenger's theory), General System Theory, Semiotic, Information theory, Knowledge Worker concept …This paper is an attempt to provide sound basis for such a framework, with a mathematical formalism. The formalism is inspired by the one used in Information System Theory, based on General System Theory (OID Model). The proposed model is structured by the set of networks (or communities) of Knowledge Workers, A, the Information System, I, and the Knowledge Capital, K (AIK model). Different morphisms, functions and operators provide classical KM links (or knowledge flows) and KM combinations for those subsystems.