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Equivalence of Fuzzy Subgroups of Finite Abelian Groups
In this chapter, we determine the number of fuzzy subgroups of certain finite Abelian groups with respect to a suitable equivalence relation. This is...
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Lattices of Fuzzy Subgroups
Many results concerning relationships between classes of crisp subsets can be carried over to similar relationships between classes of fuzzy subsets....
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Direct Products of Fuzzy Subgroups and Fuzzy Cyclic Subgroups
In Chapter 6, a necessary and sufficient condition for a fuzzy subgroup to be a weak direct sum of fuzzy subgroups was obtained by employing known...
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Fuzzy Subsets and Fuzzy Subgroups
The pioneering work of Zadeh on fuzzy subsets of a set in [53] and Rosenfeld on fuzzy subgroups of a group in [43] led to the fuzzification of...
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Fuzzy Caley's Theorem and Fuzzy Lagrange's Theorem
We begin our discussion with properties of normal fuzzy subgroups. Fuzzy analogs of some group theoretic concepts such as cosets, characteristic...
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Fuzzy Subgroups of Abelian Groups
Some of the best examples of algebraic structure theory come from commutative group theory. Commutative group theory is also a principal reason for...
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Free Fuzzy Subgroups and Fuzzy Subgroup Presentations
In this chapter, we define a notion of a free fuzzy subgroup and study its basic properties. We examine two approaches. The first approach is based...
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Characterization of Certain Groups and Fuzzy Subgroups
Fuzzy subgroups of Hamiltonian, solvable, P-Hall, and nilpotent groups are examined. The notions of generalized characteristic fuzzy subgroups, fully...
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Membership Functions From Similarity Relations
Let G be a group and μ a fuzzy subgroup of G. Then μ can be thought to be the membership function of a fuzzy subgroup of G. In this chapter, we...
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Nilpotent, Commutator, and Solvable Fuzzy Subgroups
As the title suggests, this chapter is concerned with nilpotent, commutator, and solvable fuzzy subgroups. We give two approaches for the development...
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Local 2-connected bow-tie structure of the Web and of social networks
The explosive growth of the Web and of social networks motivates the need for analyzing the macroscopic structure of their underlying graphs....
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The complex network patterns of human migration at different geographical scales: network science meets regression analysis
Migration’s influence in sha** population dynamics in times of impending climate and population crises exposes its crucial role in upholding...
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Analyzing breast cancer comorbidities: a network approach using community detection algorithms
Breast cancer is a prominent global health concern, as the data from the International Agency for Research on Cancer (IARC) shows that breast cancer...
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Towards a generic agent-based vector-host model: effects of carrying capacity and host mobility
The aim of our work is to develop a generic conceptual agent-based model to formalize the interaction of vector and host given climate change. The...
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From time series to networks in R with the ts2net package
Network science established itself as a prominent tool for modeling time series and complex systems. This modeling process consists of transforming a...
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DyHANE: dynamic heterogeneous attributed network embedding through experience node replay
With real-world network systems typically comprising a large number of interactive components and inherently dynamic, Graph Continual Learning (GCL)...
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Downscaling spatial interaction with socioeconomic attributes
A variety of complex socioeconomic phenomena, for example, migration, commuting, and trade can be abstracted by spatial interaction networks, where...
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A novel control chart scheme for online social network monitoring using multivariate nonparametric profile techniques
Online social networks have become indispensable in modern life, facilitating knowledge sharing, social communication, and business marketing. To...
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Network embedding based on DepDist contraction
Networks provide an understandable and, in the case of small size, visualizable representation of data, which allows us to obtain essential...
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Predicting COVID-19 infections using multi-layer centrality measures in population-scale networks
Understanding the spread of SARS-CoV-2 has been one of the most pressing problems of the recent past. Network models present a potent approach to...
