Proceedings ArticleDOI
Data Mining Through Fuzzy Social Network Analysis
Premchand S. Nair,S.T. Sarasamma +1 more
- pp 251-255
TLDR
A method to consolidate the information content of the fuzzy graph is proposed and a new fuzzy binary operation called consolidation operation is also introduced.Abstract:
In this paper, fuzzy theory has been applied to social network analysis (SNA). Social network analysis models meaningful relations that exist between entities as graph. These entities may be people, events, organizations, symbols in text, sounds in verbalizations, nations of the world and so on. However, the fuzzy graph can be very huge and thus the ability to arrive at meaningful conclusions in a timely fashion may be quite difficult. With this in mind, a method to consolidate the information content of the fuzzy graph is proposed. Since none of the existing fuzzy binary operations meet the requirements, a new fuzzy binary operation called consolidation operation is also introduced.read more
Citations
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Journal ArticleDOI
On the greatest solutions to weakly linear systems of fuzzy relation inequalities and equations
TL;DR: For each weakly linear system, with a complete residuated lattice as the underlying structure of truth values, the existence of the greatest solution is proved, and an algorithm for computing the greatest solutions is provided, which works whenever the underlying complete residuates lattice is locally finite.
Journal ArticleDOI
Logical characterizations of regular equivalence in weighted social networks
Tuan-Fang Fan,Churn-Jung Liau +1 more
TL;DR: In this paper, it was shown that actors occupying the same social position based on regular equivalence will satisfy the same set of modal formulas, and analogous results for regular similarity and generalized regular equivalences based on many-valued modal logics.
Journal ArticleDOI
FGSN: Fuzzy Granular Social Networks – Model and applications
Suman Kundu,Sankar K. Pal +1 more
TL;DR: A novel modeling technique based on granular computing theory and fuzzy neighborhood systems, which provides a uniform framework to represent social networks, named Fuzzy Granular Social Network (FGSN).
Journal ArticleDOI
Information Granulation-Based Community Detection for Social Networks
TL;DR: An algorithm that can detect communities in the OSNs using the concepts of granular computing in rough sets is proposed, and the cumulative performance of the GBCD algorithm is found to be 3.99, which outperforms other state-of-the-art community detection algorithms.
Journal ArticleDOI
A theoretical investigation of regular equivalences for fuzzy graphs
TL;DR: This paper generalizes the notion of regular equivalence to fuzzy graphs based on two alternative definitions ofRegular equivalence based on the definition of coloring, which is an equivalence relation that can determine a crisp partition of the nodes in a fuzzy graph.
References
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Book
Social Network Analysis: Methods and Applications
TL;DR: This paper presents mathematical representation of social networks in the social and behavioral sciences through the lens of Dyadic and Triadic Interaction Models, which describes the relationships between actor and group measures and the structure of networks.
Journal ArticleDOI
Social Network Analysis: Methods and Applications.
TL;DR: This work characterizes networked structures in terms of nodes (individual actors, people, or things within the network) and the ties, edges, or links that connect them.
Book
Fuzzy Sets and Systems: Theory and Applications
Didier Dubois,Henri Prade +1 more
TL;DR: This book effectively constitutes a detailed annotated bibliography in quasitextbook style of the some thousand contributions deemed by Messrs. Dubois and Prade to belong to the area of fuzzy set theory and its applications or interactions in a wide spectrum of scientific disciplines.
Book
Fuzzy sets and systems
TL;DR: Fuzzy sets as mentioned in this paper are a class of classes in which there may be grades of membership intermediate between full membership and non-membership, i.e., a fuzzy set is characterized by a membership function which assigns to each object its grade of membership.
Book
Fuzzy Graphs and Fuzzy Hypergraphs
TL;DR: Fuzzy Subsets: Fuzzy Relations.- FuzzY Equivalence Relations.- Pattern Classification.- Similarity Relations.- References.- fuzzy Graphs: Paths and Connectedness.