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Invited Speaker: Rudolf Wille
Talk: Preconcept Algebras and Generalized Double Boolean Algebras
Boolean Concept Logic as an integrated generalization of Contextual Object Logic
and Contextual Attribute Logic can be substantially developed on the basis of
preconcept algebras. The main results reported in this paper are the Basic Theorem
on Preconcept Algebras and the Theorem characterizing the equational class generated
by all preconcept algebras by the equational axioms of the generalized double Boolean
algebras.
Biography
Rudolf Wille is Professor Emeritus at the Department of Mathematics of the
Darmstadt Institute of Technology. Since 1976 he has been a member of the board
of directors of the Institute of Philosophy of the Darmstadt Institute of Technology
and from 1983 Chairman of the
Research Group on Concept Analysis and President of
the
Ernst Schröder Center for Conceptual Knowledge Processing. His research areas
include general algebra, order and lattice theory, foundations of geometry, discrete
mathematics, measurement theory, mathematical music theory, philosophy of sciences
and humanities, formal concept analysis, conceptual knowledge processing and contextual
logic. Rudolf is co-author of the first textbook and FCA, B. Ganter, R. Wille:
Formal
Concept Analysis: Mathematical Foundations, Springer-Verlag, 1999 and has supervised
more than 100 Masters students, 46 doctoral theses and 7 habilitations.
ContactE-Mail: wille@mathematik.tu-darmstadt.de |
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