Fuzzy Membership Partition Based Effective Hierarchical Agglomerative Flat Clustering Method for High Dimensional Data

Introduction: Hierarchical clustering is an unsupervised powerful method for empirical knowledge interpretation from data. It has a fundamental role in understanding the complex pattern in huge datasets. It creates a hierarchical representation of data by forming clusters in two ways namely Agglomerative (Bottom-up) and Divisive (Top-Down). The main advantage is that it does not need to fix number of clusters. Objectives: To handle the issues such as, the pertinence for enormous data is minimal as the computational complexity is high in using Hierarchical clustering, complication of fixing Threshold value in Dendrogram height while combining Flat clustering, and non existence of mathematical objective function to assess the Hierarchical clustering. Methods: On focusing on these challenges, this work proposes (a) a liner split of data in order to reduce the computational complexity in Hierarchical Agglomerative clustering. (b) Fuzzy Partition matrix is created to enhance the cluster generation in Hierarchical clustering. (c) this work applies an objective function in Flat Clustering to ease the process of fixing threshold.Implementation, Results:This work is implemented in Rapidminer tool. The Sum of Squares, Cluster Density and Processing Time is minimized in th e proposed work.Conclusions: The proposed method handles enormous data effectively using linear split with sequential execution, the proposed usage of a sum of squares fixes a optimum threshold value in dendrogram height while transforming the dendrogram to flat clusters, the proposed method improves the existing Hierarchical clustering effectively.

Authors

Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2024-08-15
DOI
https://doi.org/10.52783/cana.v31.1242
Citations
1
Primary Topic
Advanced Clustering Algorithms Research
Type
article
Field-Weighted Citation Impact
0.35
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Fuzzy Membership Partition Based Effective Hierarchical Agglomerative Flat Clustering Method for High Dimensional Data

S. Sivasankari
1 citations
Communications on Applied Nonlinear Analysis
Advanced Clustering Algorithms Research
0.35
article

Fuzzy Membership Partition Based Effective Hierarchical Agglomerative Flat Clustering Method for High Dimensional Data

S. Sivasankari
article en
1 citations

Abstract

Introduction: Hierarchical clustering is an unsupervised powerful method for empirical knowledge interpretation from data. It has a fundamental role in understanding the complex pattern in huge datasets. It creates a hierarchical representation of data by forming clusters in two ways namely Agglomerative (Bottom-up) and Divisive (Top-Down). The main advantage is that it does not need to fix number of clusters. Objectives: To handle the issues such as, the pertinence for enormous data is minimal as the computational complexity is high in using Hierarchical clustering, complication of fixing Threshold value in Dendrogram height while combining Flat clustering, and non existence of mathematical objective function to assess the Hierarchical clustering. Methods: On focusing on these challenges, this work proposes (a) a liner split of data in order to reduce the computational complexity in Hierarchical Agglomerative clustering. (b) Fuzzy Partition matrix is created to enhance the cluster generation in Hierarchical clustering. (c) this work applies an objective function in Flat Clustering to ease the process of fixing threshold.Implementation, Results:This work is implemented in Rapidminer tool. The Sum of Squares, Cluster Density and Processing Time is minimized in th e proposed work.Conclusions: The proposed method handles enormous data effectively using linear split with sequential execution, the proposed usage of a sum of squares fixes a optimum threshold value in dendrogram height while transforming the dendrogram to flat clusters, the proposed method improves the existing Hierarchical clustering effectively.

Communications on Applied Nonlinear AnalysisVol. 31(6s)
Openalex Percentile: Top 35%
Advanced Clustering Algorithms Research
0.35
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.