The Application of Fuzzy Equivalence Relation Based on the Quotient Space in Cluster Analysis

Qin Wei Shen; Yuan Zhang

doi:10.4028/www.scientific.net/AMM.686.333

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 686The Application of Fuzzy Equivalence Relation...

The Application of Fuzzy Equivalence Relation Based on the Quotient Space in Cluster Analysis

Abstract:

A fuzzy clustering analysis model based on the quotient space is proposed. Firstly, the conversion from coarse to fine granularity and the hierarchical structure are used to reduce the multidimensional samples. Secondly, the fuzzy compatibility relation matrix of the model is converted into fuzzy equivalence relation matrix. Finally, the diagram of clustering genealogy is generated according to the fuzzy equivalence relation matrix, which enables the dynamic selection of different thresholds to effectively solve the problem of cluster analysis of the samples with multi-dimensional attributes.

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Periodical:

Applied Mechanics and Materials (Volume 686)

Pages:

333-339

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.686.333

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Online since:

October 2014

Authors:

Qin Wei Shen*, Yuan Zhang

Keywords:

Cluster Analysis, Fuzzy Compatibility Relation, Fuzzy Equivalence Relation Matrix, Hierarchical Structure, Quotient Space

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