ConferenceProceedingsinproceedingsdoerfel2011contextbasedA Context-Based Description of the Doubly Founded Concept Lattices in the Variety Generated by M_32011DoerfelStephanValtchevPetkoJäschkeRobert93-1066628 DOI: 10.1007/978-3-642-20514-9_9SpringerBerlin / HeidelbergFormal Concept AnalysisFormal Concept Analysishttp://dx.doi.org/10.1007/978-3-642-20514-9_9Lecture Notes in Computer ScienceIn universal algebra and in lattice theory the notion of varieties is very prominent, since varieties describe the classes of all algebras (or of all lattices) modeling a given set of equations. While a comprehensive translation of that notion to a similar notion of varieties of complete lattices – and thus to Formal Concept Analysis – has not yet been accomplished, some characterizations of the doubly founded complete lattices of some special varieties (e.g. the variety of modular or that of distributive lattices) have been discovered. In this paper we use the well-known arrow relations to give a characterization of the formal contexts of doubly founded concept lattices in the variety that is generated by M 3 – the smallest modular, non-distributive lattice variety.2011, characterization, context, da, itegpub, modular, myown, varietyKnowledge & Data Engineering Group, Department of Mathematics and Computer Science, University of Kassel, Wilhelmshöher Allee 73, 34121 Kassel, Germany