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A set theoretic view of the ISA hierarchy

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posted on 22.08.2006, 16:20 by Yee Chung Cheung, Paul Chung, Ana Salagean
The ISA (is-a) hierarchies are widely used in the classification and the representation of related objects. In terms of assessing similarity between two nodes, current distance approaches suffer from its nature that only parent-child relationships among nodes are captured in the hierarchy. This paper presents an idea of treating a hierarchy as a set rather than as a tree in the traditional view. The established set theory is applied to provide the foundation where the relations between nodes can be mathematically specified and results in a more powerful and logical assessment of similarity between nodes.

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  • Science

Department

  • Computer Science

Pages

182457 bytes

Citation

CHEUNG, CHUNG and SALAGEAN, 2006. A set theoretic view of the ISA hierarchy. IN: ALI, M. and DAPOIGNY, R. (eds), Advances in Applied Artificial Intelligence, 19th International Conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems, IEA/AIE 2006, Annecy, France, June 27-30, Proceedings. Lecture notes in computer science, 4031. Berlin : Springer Verlag, pp. 127-136

Publisher

© Springer Verlag

Publication date

2006

Notes

This is a conference paper

ISBN

3540354530

Language

en

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