Proceedings of the Seventh ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD'06), pp. 120-126

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Abstract:
This paper introduces an abstract data clustering model and its implementation in MATLAB. The similarity in the model is an arbitrary reflexive and symmetric binary relation, called a tolerance relation. A space with a tolerance relation is called a tolerance space. This paper considers representative clusterings of a tolerance space. Such a clustering is a set of representatives in the space and each element in the space is similar to one of the representatives. In general, a representative clustering is not a partition of the space. A heuristic method to compute a sub-minimal representative clustering is implemented in MATLAB. Finally, the paper demonstrates the clusterings using an example dataset.