%0 Journal Article %1 fritz1995triadic %A Lehmann, Fritz %A Wille, Rudolf %D 1995 %J Conceptual Structures: Applications, Implementation and Theory %K clustering fca triadic %P 32--43 %T A triadic approach to formal concept analysis %U http://dx.doi.org/10.1007/3-540-60161-9_27 %X Formal Concept Analysis, developed during the last fifteen years, has been based on the dyadic understanding of a concept constituted by its extension and its intension. The pragmatic philosophy of Charles S. Peirce with his three universal categories, and experiences in data analysis, have suggested a triadic approach to Formal Concept Analysis. This approach starts with the primitive notion of a triadic context defined as a quadruple (G, M, B, Y) where G, M, and B are sets and Y is a ternary relation between G, M, and B, i.e. Y G×M×B; the elements of G, M, and B are called objects, attributes, and conditions, respectively, and (g, m,b) Y is read: the object g has the attribute m under (or according to) the condition b. A triadic concept of a triadic context (G, M, B, Y) is defined as a triple (A

@article{fritz1995triadic, abstract = {Formal Concept Analysis, developed during the last fifteen years, has been based on the dyadic understanding of a concept constituted by its extension and its intension. The pragmatic philosophy of Charles S. Peirce with his three universal categories, and experiences in data analysis, have suggested a triadic approach to Formal Concept Analysis. This approach starts with the primitive notion of a triadic context defined as a quadruple (G, M, B, Y) where G, M, and B are sets and Y is a ternary relation between G, M, and B, i.e. Y G×M×B; the elements of G, M, and B are called objects, attributes, and conditions, respectively, and (g, m,b) Y is read: the object g has the attribute m under (or according to) the condition b. A triadic concept of a triadic context (G, M, B, Y) is defined as a triple (A}, added-at = {2009-09-21T16:26:54.000+0200}, author = {Lehmann, Fritz and Wille, Rudolf}, biburl = {https://www.bibsonomy.org/bibtex/22d18c634917546cfa78a73901f0963a3/folke}, description = {SpringerLink - Book Chapter}, interhash = {fa3e423ee0c5a9dadc3211c3f8a5e4a6}, intrahash = {2d18c634917546cfa78a73901f0963a3}, journal = {Conceptual Structures: Applications, Implementation and Theory}, keywords = {clustering fca triadic}, pages = {32--43}, timestamp = {2009-09-21T16:26:54.000+0200}, title = {A triadic approach to formal concept analysis}, url = {http://dx.doi.org/10.1007/3-540-60161-9_27}, year = 1995 }