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Abstract

TOSCANA is a computer program which allows an online interaction with larger data bases to analyse and explore data conceptually. It uses labelled line diagrams of concept lattices to communicate knowledge coded in given data. The basic problem to create online presentations of concept lattices is solved by composing prepared diagrams to nested line diagrams. A larger number of applications in different areas have already shown that TOSCANA is a useful tool for many purposes

Source

Knowledge organization. 22(1995) no.2, S.78-81

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Abstract

Objects, attributes, and concepts are basic notations of conceptual knowledge; they are linked by the following four basic relations: an object has an attribute, an object belongs to a concept, an attribute abstracts from a concept, and a concept is a subconcept of another concept. These structural elements are well mathematized in formal concept analysis. Therefore, conceptual knowledge systems can be mathematically modelled in the frame of formal concept analysis. How such modelling may be performed is indicated by an example of a conceptual knowledge system. The formal definition of the model finally clarifies in which ways representation, inference, acquisition, and communication of conceptual knowledge can be mathematically treated

Source

Classification, data analysis, and knowledge organization: models and methods with applications. Proc. of the 14th annual conf. of the Gesellschaft für Klassifikation, Univ. of Marburg, 12.-14.3.1990. Ed.: H.-H. Bock u. P. Ihm

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Source

Information and classification: concepts, methods and applications. Proceedings of the 16th Annual Conference of the Gesellschaft für Klassifikation, University of Dortmund, April 1-3, 1992. Ed.: O. Opitz u.a

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Source

Data analysis and information systems, statistical and conceptual approaches: Proceedings of the 19th Annual Conference of the Gesellschaft für Klassifikation e.V., University of Basel, March 8-10, 1995. Ed.: H.-H. Bock u. W. Polasek

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Abstract

This first textbook in the field of formal concept analysis provides a systematic presentation of the mathematical foundations and their relation to applications in informatics, especially data analysis and knowledge processing

Content

Order theoretical foundations. - Concept lattices of contexts. - Determination and presentation. - Parts and factors. - Analysis, construction and properties of concept lattices. - Context comparison and conceptual measurability

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Abstract

This is the first textbook on formal concept analysis. It gives a systematic presentation of the mathematical foundations and their relation to applications in computer science, especially data analysis and knowledge processing. Above all, it presents graphical methods for representing conceptual systems that have proved themselves in communicating knowledge. Theory and graphical representation are thus closely coupled together. The mathematical foundations are treated thouroughly and illuminated by means of numerous examples. Since computers are being used ever more widely for knowledge processing, formal methods for conceptual analysis are gaining in importance. This book makes the basic theory for such methods accessible in a compact form

Content

Order theoretical foundations. - Concept lattices of contexts. - Determination and presentation. - Parts and factors. - Analysis, construction and properties of concept lattices. - Context comparison and conceptual measurability