Comparing partitions by means of fuzzy data mining tools

Authors:
Carlos Molina;Belén Prados;María-Dolores Ruiz;Daniel Sánchez;José-María Serrano
Affiliations:
Dept of Computer Science, University of Jaén, Spain;Dept. Software Engineering, University of Granada, Spain;Dept. Computer Science and A.I., University of Granada, Spain;European Centre for Soft Computing, Mieres, Spain;Dept of Computer Science, University of Jaén, Spain
Venue:
SUM'12 Proceedings of the 6th international conference on Scalable Uncertainty Management
Year:
2012

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Abstract

Rand index is one of the most popular measures for comparing two partitions over a set of objects. Several approaches have extended this measure for those cases involving fuzzy partitions. In previous works, we developed a methodology for correspondence analysis between partitions in terms of data mining tools. In this paper we discuss how, without any additional cost, it can be applied as an alternate computation of Rand index, allowing us not only to compare both crisp and fuzzy partitions, but also classes inside these partitions.