Uniform RECA transformations in rough extended clustering framework

Authors:
Dariusz Małyszko;Jarosław Stepaniuk
Affiliations:
Department of Computer Science, Biaystok University of Technology, Bialystok, Poland;Department of Computer Science, Biaystok University of Technology, Bialystok, Poland
Venue:
ACIIDS'11 Proceedings of the Third international conference on Intelligent information and database systems - Volume Part II
Year:
2011

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Abstract

In the paper, in the Rough Extended Framework, a new generalization of the concept of the rough transformation has been presented. The introduced solution seems to present promising area of data analysis, particulary suited in the area of image properties analysis. The uniform RECA transformation as a generalization of clustering approaches contains three standard rough transformations - standard k-means transformation, fuzzy k-means transformation and EM k-means transformation. The concept of the RECA transformations has been illustrated with its application in the procedure of calculation of the entropy of the RECA transformation paths. In this way, uniform RECA transformations give both the theoretical ground for three most prominent data clustering schemes and at the same time present starting point in the new data analysis methodology based upon the new introduced concept of RECA paths.