Empirical analysis of rough set categorical clustering techniques based on rough purity and value set
Clustering a set of objects into homogeneous groups is a fundamental operation in data mining. Recently, attention has been put on categorical data clustering, where data objects are made up of non-numerical attributes. The implementation of several existing categorical clustering techniques is c...
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| Format: | Thesis |
| Language: | English English |
| Published: |
2017
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/336/1/JAMAL%20UDDIN%20WATERMARK.pdf http://eprints.uthm.edu.my/336/2/24p%20JAMAL%20UDDIN.pdf |
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| Summary: | Clustering a set of objects into homogeneous groups is a fundamental operation
in data mining. Recently, attention has been put on categorical data clustering,
where data objects are made up of non-numerical attributes. The implementation of
several existing categorical clustering techniques is challenging as some are unable
to handle uncertainty and others have stability issues. In the process of dealing
with categorical data and handling uncertainty, the rough set theory has become
well-established mechanism in a wide variety of applications including databases.
The recent techniques such as Information-Theoretic Dependency Roughness (ITDR),
Maximum Dependency Attribute (MDA) and Maximum Significance Attribute (MSA)
outperformed their predecessor approaches like Bi-Clustering (BC), Total Roughness
(TR), Min-Min Roughness (MMR), and standard-deviation roughness (SDR). This
work explores the limitations and issues of ITDR, MDA and MSA techniques on
data sets where these techniques fails to select or faces difficulty in selecting their
best clustering attribute. Accordingly, two alternative techniques named Rough Purity
Approach (RPA) and Maximum Value Attribute (MVA) are proposed. The novelty
of both proposed approaches is that, the RPA presents a new uncertainty definition
based on purity of rough relational data base whereas, the MVA unlike other rough
set theory techniques uses the domain knowledge such as value set combined with
number of clusters (NoC). To show the significance, mathematical and theoretical
basis for proposed approaches, several propositions are illustrated. Moreover, the
recent rough categorical techniques like MDA, MSA, ITDR and classical clustering
technique like simple K-mean are used for comparison and the results are presented
in tabular and graphical forms. For experiments, data sets from previously utilized
research cases, a real supply base management (SBM) data set and UCI repository
are utilized. The results reveal significant improvement by proposed techniques for
categorical clustering in terms of purity (21%), entropy (9%), accuracy (16%), rough
accuracy (11%), iterations (99%) and time (93%).
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