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This paper addresses the ambitious goal of merging two different approaches to group detection in complex domains: one based on fuzzy clustering and the other on community detection theory. To achieve this, two clustering algorithms are…

We introduce the concept of indexed identity, where the usual notion of identity is a particular case. Our mathematical framework allows us a generalized method for `indexing' predicates, which corresponds to `fuzzification' of properties,…

Logic · Mathematics 2007-05-23 Adonai S. Sant'Anna

In this paper, we propose a variational multiphase image segmentation model based on fuzzy membership functions and L1-norm fidelity. Then we apply the alternating direction method of multipliers to solve an equivalent problem. All the…

Optimization and Control · Mathematics 2016-10-03 Fang Li , Stanley Osher , Jing Qin , Ming Yan

In this work, we present definition of intuitionistic fuzzy parameterized (IFP) intuitionistic fuzzy soft set and its operations. Then we define IFP-aggregation operator to form IFP-intuitionistic fuzzy soft-decision-making method which…

Artificial Intelligence · Computer Science 2016-04-19 Faruk Karaaslan , Naim Cagman , Saban Yilmaz

The $k$-means method is an iterative clustering algorithm which associates each observation with one of $k$ clusters. It traditionally employs cluster centers in the same space as the observed data. By relaxing this requirement, it is…

Statistics Theory · Mathematics 2015-04-06 Matthew Thorpe , Florian Theil , Adam M. Johansen , Neil Cade

Image segmentation in the medical domain is a challenging field owing to poor resolution and limited contrast. The predominantly used conventional segmentation techniques and the thresholding methods suffer from limitations because of heavy…

Computer Vision and Pattern Recognition · Computer Science 2016-05-10 Jiyo. S. Athertya , G. Saravana Kumar

In this study, we consider a linear differential equation with fuzzy boundary values. We express the solution of the problem in terms of a fuzzy set of crisp real functions. Each real function from the solution set satisfies differential…

Numerical Analysis · Computer Science 2011-07-22 Nizami Gasilov , Şahin Emrah Amrahov , Afet Golayoğlu Fatullayev

This article discusses a particular case of the data clustering problem, where it is necessary to find groups of adjacent text segments of the appropriate length that match a fuzzy pattern represented as a sequence of fuzzy properties. To…

Artificial Intelligence · Computer Science 2022-02-01 Armen Kostanyan , Arevik Harmandayan

Fuzzy c-means clustering is widely used to identify cluster structures in high-dimensional data sets, such as those obtained in DNA microarray and quantitative proteomics experiments. One of its main limitations is the lack of a…

Quantitative Methods · Quantitative Biology 2010-04-09 Veit Schwämmle , Ole N. Jensen

Fuzzy inference systems always suffer from the lack of efficient structures or platforms for their hardware implementation. In this paper, we tried to overcome this problem by proposing new method for the implementation of those fuzzy…

Neural and Evolutionary Computing · Computer Science 2011-09-22 Farnood Merrikh-Bayat , Saeed Bagheri Shouraki

This paper proves that in iris recognition, the concepts of sheep, goats, lambs and wolves - as proposed by Doddington and Yager in the so-called Biometric Menagerie, are at most fuzzy and at least not quite well defined. They depend not…

Computer Vision and Pattern Recognition · Computer Science 2012-09-28 Nicolaie Popescu-Bodorin , Valentina E. Balas , Iulia M. Motoc

In medicine one frequently deals with vague information. As a tool for reasoning in this area, fuzzy logic suggests itself. In this paper we explore the applicability of the basic ideas of fuzzy set theory in the context of medical…

Logic · Mathematics 2018-08-31 Thomas Vetterlein , Anna Zamansky

An important constraint of Fuzzy Inference Systems (FIS) is their structured rules defined based on evaluating all input variables. Indeed, the length of all fuzzy rules and the number of input variables are equal. However, in many…

Artificial Intelligence · Computer Science 2024-02-26 Armin Salimi-Badr

Reasoning with fuzzy sets can be achieved through measures such as similarity and distance. However, these measures can often give misleading results when considered independently, for example giving the same value for two different pairs…

Artificial Intelligence · Computer Science 2014-09-04 Josie McCulloch , Christian Wagner , Uwe Aickelin

Mass classification of objects is an important area of research and application in a variety of fields. In this paper, we present an efficient computer aided mass classification method in digitized mammograms using Fuzzy K-Nearest Neighbor…

Computer Vision and Pattern Recognition · Computer Science 2014-06-19 I. Laurence Aroquiaraj , K. Thangavel

It is shown that an aspect of the process of individuation may be thought of as a fuzzy set. The process of individuation has been interpreted as a two-valued problem in the history of philosophy. In this work, I intend to show that such a…

Physics and Society · Physics 2020-03-11 Juliano C. S. Neves

Time series clustering is essential in scientific applications, yet methods for functional time series, collections of infinite-dimensional curves treated as random elements in a Hilbert space, remain underdeveloped. This work presents…

Methodology · Statistics 2025-04-03 Angel Lopez-Oriona , Ying Sun , Han Lin Shang

A method that uses fuzzy clustering algorithms to achieve particle identification based on pulse shape analysis is presented. The fuzzy c-means clustering algorithm is used to compute mean (principal) pulse shapes induced by different…

This paper presents a new hybrid Fuzzy-ART based K-Means Clustering technique to solve the part machine grouping problem in cellular manufacturing systems considering operational time. The performance of the proposed technique is tested…

Machine Learning · Computer Science 2012-12-21 Sourav Sengupta , Tamal Ghosh , Pranab K Dan , Manojit Chattopadhyay

In this paper we provide a fully distributed implementation of the k-means clustering algorithm, intended for wireless sensor networks where each agent is endowed with a possibly high-dimensional observation (e.g., position, humidity,…

Machine Learning · Computer Science 2014-11-11 Gabriele Oliva , Roberto Setola , Christoforos N. Hadjicostis