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A fuzzy clustering algorithm for multidimensional data is proposed in this article. The data is described by vectors whose components are linguistic variables defined in an ordinal scale. The obtained results confirm the efficiency of the…

Artificial Intelligence · Computer Science 2017-01-16 Zhengbing Hu , Yevgeniy V. Bodyanskiy , Oleksii K. Tyshchenko , Viktoriia O. Samitova

With the membership function being strictly positive, the conventional fuzzy c-means clustering method sometimes causes imbalanced influence when clusters of vastly different sizes exist. That is, an outstandingly large cluster drags to its…

Machine Learning · Statistics 2023-03-28 Akira R. Kinjo , Daphne Teck Ching Lai

Clustering is an extensive research area in data science. The aim of clustering is to discover groups and to identify interesting patterns in datasets. Crisp (hard) clustering considers that each data point belongs to one and only one…

Machine Learning · Computer Science 2018-08-02 Aybükë Oztürk , Stéphane Lallich , Jérôme Darmont , Sylvie Yona Waksman

Fuzzy clustering has become a widely used data mining technique and plays an important role in grouping, traversing and selectively using data for user specified applications. The deterministic Fuzzy C-Means (FCM) algorithm may result in…

Neural and Evolutionary Computing · Computer Science 2018-10-23 Saptarshi Sengupta , Sanchita Basak , Richard Alan Peters

In a data matrix, we may distinguish between cases, each represented by a row vector for a statistical unit, and cells, which correspond to single entries of the data matrix. Recent developments in Robust Statistics have introduced the…

The software for clustering students according to their educational achievements using fuzzy logic was developed in Python using the Google Colab cloud service. In the process of analyzing educational data, the problems of Data Mining are…

Computers and Society · Computer Science 2023-12-19 Serhiy Balovsyak , Oleksandr Derevyanchuk , Hanna Kravchenko , Yuriy Ushenko , Zhengbing Hu

Efficient and robust data clustering remains a challenging task in the field of data analysis. Recent efforts have explored the integration of granular-ball (GB) computing with clustering algorithms to address this challenge, yielding…

Machine Learning · Computer Science 2024-05-16 Zihang Jia , Zhen Zhang , Witold Pedrycz

Clustering is an important facet of explorative data mining and finds extensive use in several fields. In this paper, we propose an extension of the classical Fuzzy C-Means clustering algorithm. The proposed algorithm, abbreviated as VFC,…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Srinjoy Ganguly , Digbalay Bose , Amit Konar

Fuzzy clustering, which allows an article to belong to multiple clusters with soft membership degrees, plays a vital role in analyzing publication data. This problem can be formulated as a constrained optimization model, where the goal is…

Optimization and Control · Mathematics 2025-06-05 Vu Thi Huong , Ida Litzel , Thorsten Koch

A new technique is presented to design energy-efficient large-scale tracking systems based on mobile clustering. The new technique optimizes the formation of mobile clusters to minimize energy consumption in large-scale tracking systems.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-11 Hesham Alfares , Abdulrahman Abu Elkhail , Uthman Baroudi

This paper presents an advanced mathematical analysis and simplification of the quadratic programming problem arising from fuzzy clustering with generalized capacity constraints. We extend previous work by incorporating broader balancing…

General Mathematics · Mathematics 2024-11-13 Roger Macedo

Traditional clustering algorithms often focus on the most fine-grained information and achieve clustering by calculating the distance between each pair of data points or implementing other calculations based on points. This way is not…

Machine Learning · Computer Science 2024-10-21 Shuyin Xia , Bolun Shi , Yifan Wang , Jiang Xie , Guoyin Wang , Xinbo Gao

Clustering is one of the major tasks in data mining. In the last few years, Clustering of spatial data has received a lot of research attention. Spatial databases are components of many advanced information systems like geographic…

Databases · Computer Science 2012-06-04 Mohamed A. El-Zawawy

Federated Learning (FL) is a setting where multiple parties with distributed data collaborate in training a joint Machine Learning (ML) model while keeping all data local at the parties. Federated clustering is an area of research within FL…

Machine Learning · Computer Science 2022-01-20 Morris Stallmann , Anna Wilbik

Most of the existing clustering methods are based on a single granularity of information, such as the distance and density of each data. This most fine-grained based approach is usually inefficient and susceptible to noise. Therefore, we…

Machine Learning · Computer Science 2023-03-30 Jiang Xie , Shuyin Xia , Guoyin Wang , Xinbo Gao

In this paper we present a novel iterative multiphase clustering technique for efficiently clustering high dimensional data points. For this purpose we implement clustering feature (CF) tree on a real data set and a Gaussian density…

Machine Learning · Computer Science 2014-11-13 Chandrima Sarkar , Atanu Roy

Deep clustering outperforms conventional clustering by mutually promoting representation learning and cluster assignment. However, most existing deep clustering methods suffer from two major drawbacks. First, most cluster assignment methods…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Hanxuan Wang , Na Lu , Qinyang Liu

Clustering is one of the widely used data mining techniques for medical diagnosis. Clustering can be considered as the most important unsupervised learning technique. Most of the clustering methods group data based on distance and few…

Machine Learning · Computer Science 2012-12-24 K. Dhanalakshmi , H. Hannah Inbarani

One of the most vital activities to reduce energy consumption in wireless sensor networks is clustering. In clustering, one node from a group of nodes is selected to be a cluster head, which handles majority of the computation and…

Networking and Internet Architecture · Computer Science 2016-01-18 Payal Pahwa , Deepali Virmani , Akshay Kumar , Sahil , Vikas Rathi , Sunil Swami

Clustering analysis of functional data, which comprises observations that evolve continuously over time or space, has gained increasing attention across various scientific disciplines. Practical applications often involve functional data…

Methodology · Statistics 2024-06-19 Tingyu Zhu , Lan Xue , Carmen Tekwe , Keith Diaz , Mark Benden , Roger Zoh