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Number of results
2011 | 20 |

Article title

On the number of clusterings in a hierarchical classication model with overlapping clusters

Content

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Languages of publication

PL

Abstracts

PL
This paper shows a new combinatorial problem which emerged from studies on an artificial intelligence classification model of a hierarchical classifier. We introduce the notion of proper clustering and show how to count their number in a special case when 3 clusters are allowed. An algorithm that generates all clusterings is given. We also show that the proposed approach can be generalized to any number of clusters, and can be automatized. Finally, we show the relationship between the problem of counting clusterings and the Dedekind problem.

Keywords

PL

Publisher

Year

Volume

20

Physical description

Dates

published
2011
online
21 - 05 - 2015

Contributors

References

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.ojs-issn-2083-8476-year-2011-volume-20-article-2227
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