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A triadic approach to formal concept analysis

by: Fritz Lehmann, and Rudolf Wille
In: Conceptual Structures: Applications, Implementation and Theory (1995) , p. 32--43.
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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

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