Valverde Albacete, Francisco JoséPeláez Moreno, Carmen2008-02-262008-02-262006Formal Concept Analysis. 4th International Conference, ICFCA 2006, Dresden, Germany, February 13-17, 2006. Proceedings. PP. 161-176978-3-540-32203-00302-9743 [print]1611-3349 [online]https://hdl.handle.net/10016/1595In this paper we justify the need for a generalisation of Formal Concept Analysis for the purpose of data mining and begin the synthesis of such theory. For that purpose, we first review semirings and semimodules over semirings as the appropriate objects to use in abstracting the Boolean algebra and the notion of extents and intents, respectively. We later bring to bear powerful theorems developed in the field of linear algebra over idempotent semimodules to try to build a Fundamental Theorem for K-Formal Concept Analysis, where K is a type of idempotent semiring. Finally, we try to put Formal Concept Analysis in new perspective by considering it as a concrete instance of the theory developed.application/pdfengconference paperTelecomunicaciones10.1007/11671404_11open access