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In this paper, we address one of the most important topics in the field of Social Networks Analysis: the community detection problem with additional information. That additional information is modeled by a fuzzy measure that represents the…

Social and Information Networks · Computer Science 2024-02-08 Inmaculada Gutiérrez , Juan Antonio Guevara , Daniel Gómez , Javier Castro , Rosa Espínola

On the basis of network analysis, and within the context of modeling imprecision or vague information with fuzzy sets, we propose an innovative way to analyze, aggregate and apply this uncertain knowledge into community detection of…

Statistics Theory · Mathematics 2024-02-08 Inmaculada Gutiérrez , Daniel Gómez , Javier Castro , Rosa Espínola

In this paper, we focus on the community detection problem in multiplex networks, i.e., networks with multiple layers having same node sets and no inter-layer connections. In particular, we look for groups of nodes that can be recognized as…

Social and Information Networks · Computer Science 2022-09-26 Sara Venturini , Andrea Cristofari , Francesco Rinaldi , Francesco Tudisco

In this article, we combine the concept of a bipolar fuzzy set and a soft set. We introduce the notion of bipolar fuzzy soft set and study fundamental properties. We study basic operations on bipolar fuzzy soft set. We define exdended…

Artificial Intelligence · Computer Science 2014-03-10 Muhammad Aslam , Saleem Abdullah , Kifayat ullah

In this paper we introduce a non-fuzzy measure which has been designed to rank the partitions of a network's nodes into overlapping communities. Such a measure can be useful for both quantifying clusters detected by various methods and…

Physics and Society · Physics 2015-05-14 Anna Lázár , Dániel Ábel , Tamás Vicsek

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…

Heterogeneous networks are networks consisting of different types of nodes and multiple types of edges linking such nodes. While community detection has been extensively developed as a useful technique for analyzing networks that contain…

Social and Information Networks · Computer Science 2018-03-23 Jingfei Zhang , Yuguo Chen

We consider the problem of fuzzy community detection in networks, which complements and expands the concept of overlapping community structure. Our approach allows each vertex of the graph to belong to multiple communities at the same time,…

Physics and Society · Physics 2011-11-10 Tamás Nepusz , Andrea Petróczi , László Négyessy , Fülöp Bazsó

Modularity is widely used to effectively measure the strength of the disjoint community structure found by community detection algorithms. Several overlapping extensions of modularity were proposed to measure the quality of overlapping…

Social and Information Networks · Computer Science 2018-07-02 Mingming Chen , Boleslaw K. Szymanski

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

Complex networks represent interactions between entities. They appear in various contexts such as sociology, biology, etc., and they generally contain highly connected subgroups called communities. Community detection is a well-studied…

Social and Information Networks · Computer Science 2014-06-11 Romain Campigotto , Patricia Conde Céspedes , Jean-Loup Guillaume

Aiming at the group decision - making problem with multi - objective attributes, this study proposes a group decision - making system that integrates fuzzy inference and Bayesian network. A fuzzy rule base is constructed by combining…

Artificial Intelligence · Computer Science 2025-05-01 Shui-jin Rong , Wei Guo , Da-qing Zhang

In this paper, we propose a scalable community detection algorithm using hypergraph modularity function, h-Louvain. It is an adaptation of the classical Louvain algorithm in the context of hypergraphs. We observe that a direct application…

Social and Information Networks · Computer Science 2024-06-26 Bogumił Kamiński , Paweł Misiorek , Paweł Prałat , François Théberge

A new fuzzy method is developed using triangular/trapezoidal fuzzy numbers for evaluating a group's mean performance, when qualitative grades instead of numerical scores are used for assessing its members' individual performance. Also, a…

Artificial Intelligence · Computer Science 2020-11-24 Michael Voskoglou

Optimizing statistical measures for community structure is one of the most popular strategies for community detection, but many of them lack the flexibility of resolution and thus are incompatible with multi-scale communities of networks.…

Physics and Society · Physics 2019-04-23 Ju Xiang , Yan Zhang , Jian-Ming Li , Hui-Jia Li , Min Li

Bipolar fuzzy relation equations arise as a generalization of fuzzy relation equations considering unknown variables together with their logical connective negations. The occurrence of a variable and the occurrence of its negation…

Artificial Intelligence · Computer Science 2024-10-07 M. Eugenia Cornejo , David Lobo , Jesús Medina

Finding community structures in social networks is considered to be a challenging task as many of the proposed algorithms are computationally expensive and does not scale well for large graphs. Most of the community detection algorithms…

Social and Information Networks · Computer Science 2023-01-30 Partha Basuchowdhuri , Satyaki Sikdar , Varsha Nagarajan , Khusbu Mishra , Surabhi Gupta , Subhashis Majumder

Social polarization is a growing concern worldwide, as it strains social relations, erodes trust in institutions, and thus threatens democratic societies. Academic efforts to understand this phenomenon have traditionally approached it from…

Physics and Society · Physics 2025-11-19 Samuel Martin-Gutierrez , Juan C. Losada , Rosa M. Benito

Bipartite networks are a useful tool for representing and investigating interaction networks. We consider methods for identifying communities in bipartite networks. Intuitive notions of network community groups are made explicit using…

Physics and Society · Physics 2009-11-13 Michael J. Barber , Margarida Faria , Ludwig Streit , Oleg Strogan

Community detection has become a fundamental operation in numerous graph-theoretic applications. It is used to reveal natural divisions that exist within real world networks without imposing prior size or cardinality constraints on the set…

Social and Information Networks · Computer Science 2014-10-08 Hao Lu , Mahantesh Halappanavar , Ananth Kalyanaraman
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