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A new cluster validity index is proposed for fuzzy clusters obtained from fuzzy c-means algorithm. The proposed validity index exploits inter-cluster proximity between fuzzy clusters. Inter-cluster proximity is used to measure the degree of…

Artificial Intelligence · Computer Science 2024-07-10 Dae-Won Kim , Kwang H. Lee

Keeping in consideration the high demand for clustering, this paper focuses on understanding and implementing K-means clustering using two different similarity measures. We have tried to cluster the documents using two different measures…

Information Retrieval · Computer Science 2015-05-04 Manan Mohan Goyal , Neha Agrawal , Manoj Kumar Sarma , Nayan Jyoti Kalita

In this paper we propose a generalization of the concept of symmetric fuzzy measure based in a decomposition of the universal set in what we have called subsets of indifference. Some properties of these measures are studied, as well as…

Discrete Mathematics · Computer Science 2008-12-18 Pedro Miranda , Michel Grabisch , Pedro Gil

Detecting and classifying abnormal system states is critical for condition monitoring, but supervised methods often fall short due to the rarity of anomalies and the lack of labeled data. Therefore, clustering is often used to group similar…

Machine Learning · Computer Science 2025-01-14 Ferdinand Rewicki , Joachim Denzler , Julia Niebling

Data cohesion, a recently introduced measure inspired by social interactions, uses distance comparisons to assess relative proximity. In this work, we provide a collection of results which can guide the development of cohesion-based methods…

Social and Information Networks · Computer Science 2023-08-08 Katherine E. Moore

Quality of life assessment represents a key process of deciding treatment success and viability. As such, patients' perceptions of their functional status and well-being are important inputs for impairment assessment. Given that patient…

Artificial Intelligence · Computer Science 2020-11-17 J Navrro , C Wagner , Uwe Aickelin , L Green , R Ashford

In this paper, we propose methods of handling attributive values of object classes in object oriented database with fuzzy information and uncertainty based on quantitatively semantics based hedge algebraic. In this approach we consider to…

Databases · Computer Science 2016-11-16 Doan Van Thang , Doan Van Ban

Measuring inter-dataset similarity is an important task in machine learning and data mining with various use cases and applications. Existing methods for measuring inter-dataset similarity are computationally expensive, limited, or…

Machine Learning · Computer Science 2025-05-06 Muhammad Rajabinasab , Anton D. Lautrup , Arthur Zimek

In this paper, a similarity-driven cluster merging method is proposed for unsuper-vised fuzzy clustering. The cluster merging method is used to resolve the problem of cluster validation. Starting with an overspecified number of clusters in…

Machine Learning · Computer Science 2012-07-19 Xuejian Xiong , Kap Chan , Kian Lee Tan

Measuring the correlation (association) between two random variables is one of the important goals in statistical applications. In the literature, the covariance between two random variables is a widely used criterion in measuring the…

Methodology · Statistics 2018-10-30 Majid Asadi , Somayeh Zarezadeh

The paper presents a construction of a quantitative measure of variability for parameter estimates in the data fitting problem under interval uncertainty. It shows the degree of variability and ambiguity of the estimate, and the need for…

Numerical Analysis · Mathematics 2020-03-12 Sergey P. Shary

For a multi-attribute decision making (MADM) problem, the information of alternatives under different attributes is given in the form of intuitionistic fuzzy number(IFN). Intuitionistic fuzzy set (IFS) plays an important role in dealing…

Artificial Intelligence · Computer Science 2023-11-21 Jing Yang , Wei Su

In practical situations, interval-valued fuzzy sets are frequently encountered. In this paper, firstly, we present shadowed sets for interpreting and understanding interval fuzzy sets. We also provide an analytic solution to computing the…

Artificial Intelligence · Computer Science 2014-12-23 Guangming Lang

In this work we study the use of moderate deviation functions to measure similarity and dissimilarity among a set of given interval-valued data. To do so, we introduce the notion of interval-valued moderate deviation function and we study…

A similarity join aims to find all similar pairs between two collections of records. Established approaches usually deal with synthetic differences like typos and abbreviations, but neglect the semantic relations between words. Such…

Information Retrieval · Computer Science 2018-10-30 Pengfei Xu , Jiaheng Lu

A novel procedure to perform fuzzy clustering of multivariate time series generated from different dependence models is proposed. Different amounts of dissimilarity between the generating models or changes on the dynamic behaviours over…

Methodology · Statistics 2021-09-09 Ángel López-Oriona , José A. Vilar , Pierpaolo-D'Urso

In a context of document co-clustering, we define a new similarity measure which iteratively computes similarity while combining fuzzy sets in a three-partite graph. The fuzzy triadic similarity (FT-Sim) model can deal with uncertainty…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-24 Sonia Alouane-Ksouri , Minyar Sassi-Hidri , Kamel Barkaoui

We review the fuzzy approach to poverty measurement by comparing poverty indices using different membership functions proposed in the literature. We put our main focus on the issue of estimation of the mean squared errors of these fuzzy…

Computation · Statistics 2023-09-06 Fderico Crescenzi , Lorenzo Mori

Time series similarity measures are highly relevant in a wide range of emerging applications including training machine learning models, classification, and predictive modeling. Standard similarity measures for time series most often…

Machine Learning · Computer Science 2021-01-22 Lucas Cassiel Jacaruso

In this paper, I obtain an $S$-type fuzzy point when two fuzzy numbers for two independent variables and a corresponding fuzzy number for the dependent variable are given. A comprehensive study on a conceptualization of a fuzzy plane as a…

General Mathematics · Mathematics 2024-03-20 Diksha Gupta