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# Tag Archives: concept analysis

## Reflections on Abstractions: From ‘Siamese’ Graphs to Concept Lattices

There is an elegant construct of dealing with ‘Siamese’ abstractions for object-attribute situations, from formal concept analysis. Where ‘Siamese’ means not-rhs-unique mapping of complete subgraphs. Continue reading

## Reflections on Abstractions: Joining Classification by Relationships and Properties

How does classification based on properties go together with relationship based classes? In addition to the former posting “Concepts vs Modules for Classification”, the fit of concept lattices and relationship graphs is examined in more detail. Continue reading

Posted in Mathematics, Reflections on Abstractions
Tagged abstraction, abstraction awareness, Class, classification, classifier, component, concept analysis, formal concept analysis, formal methods, Graph Theory, model, modeling, modeling theory, module, refinement, reflections on abstractions, ROA
1 Comment

## Reflections on Abstractions: Concepts vs Modules for Classification

A Concept (as in Formal Concept Analysis) and a Module (as in Graph Theory) both cover the notion of Classification. Although they share the same basic idea, they reveal differences in detail. Continue reading

## Reflections on Abstractions in Relational Structures. The very basic Setting.

Abstractional concepts can be found in the very basics of Graph Theory and Formal Concept Analysis. They provide the basic elements of Classification, Aggregation and Generalisation for a deeper rigorous analysis of Abstractions. Continue reading

Posted in Mathematics, Reflections on Abstractions
Tagged abstraction, abstraction awareness, aggregation, classification, component, concept analysis, connectivity, formal concept analysis, formal methods, generalisation, Graph Theory, model, modeling, modeling theory, module, refinement, reflections on abstractions, ROA
2 Comments

## Reflections on Abstractions: Classification and Generalisation by Conceptualisation

It is demonstrated how the basic notion of Concept in Formal Concept Analysis covers two of the fundamental notions of Abstraction: Classification and Generalisation. This is why conceptualisation is so highly valuable in examining entities and their properties. Continue reading