Abstract
In this paper, we develop a fuzzy mathematics approach to study the influence of actors in networks on diffusion. We construct a dynamic diffusion model that represents the interactions and evolution of the current international network and determines the rate of Islamism by the internal and external pressures exerted on each state. We then identify key states in the international system by their degree to test if, and to what extent, they influence the rate and breadth of diffusion. Using this model we determine to what extent the most central actors in a network influence the overall rate of diffusion. We hypothesize that diffusion by the most central actors in the international system will greatly increase the overall rate of diffusion for the remaining actors. Given the current structure of the international system, we hypothesize that the prevalence of Islamism will decrease over time.
| Original language | English |
|---|---|
| Pages (from-to) | 113-133 |
| Number of pages | 21 |
| Journal | New Mathematics and Natural Computation |
| Volume | 12 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jul 1 2016 |
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All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Computational Mathematics
- Computer Science Applications
- Computational Theory and Mathematics
- Human-Computer Interaction
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Diffusion in Networks : The Strategic Spread of Islamism. / Boyce, Maureen; Byrne, Mark; Dorpinghaus, Erin; Malik, Davender S.; Mordeson, John N.
In: New Mathematics and Natural Computation, Vol. 12, No. 2, 01.07.2016, p. 113-133.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Diffusion in Networks
T2 - The Strategic Spread of Islamism
AU - Boyce, Maureen
AU - Byrne, Mark
AU - Dorpinghaus, Erin
AU - Malik, Davender S.
AU - Mordeson, John N.
PY - 2016/7/1
Y1 - 2016/7/1
N2 - In this paper, we develop a fuzzy mathematics approach to study the influence of actors in networks on diffusion. We construct a dynamic diffusion model that represents the interactions and evolution of the current international network and determines the rate of Islamism by the internal and external pressures exerted on each state. We then identify key states in the international system by their degree to test if, and to what extent, they influence the rate and breadth of diffusion. Using this model we determine to what extent the most central actors in a network influence the overall rate of diffusion. We hypothesize that diffusion by the most central actors in the international system will greatly increase the overall rate of diffusion for the remaining actors. Given the current structure of the international system, we hypothesize that the prevalence of Islamism will decrease over time.
AB - In this paper, we develop a fuzzy mathematics approach to study the influence of actors in networks on diffusion. We construct a dynamic diffusion model that represents the interactions and evolution of the current international network and determines the rate of Islamism by the internal and external pressures exerted on each state. We then identify key states in the international system by their degree to test if, and to what extent, they influence the rate and breadth of diffusion. Using this model we determine to what extent the most central actors in a network influence the overall rate of diffusion. We hypothesize that diffusion by the most central actors in the international system will greatly increase the overall rate of diffusion for the remaining actors. Given the current structure of the international system, we hypothesize that the prevalence of Islamism will decrease over time.
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UR - http://www.scopus.com/inward/citedby.url?scp=84973615725&partnerID=8YFLogxK
U2 - 10.1142/S1793005716500095
DO - 10.1142/S1793005716500095
M3 - Article
VL - 12
SP - 113
EP - 133
JO - New Mathematics and Natural Computation
JF - New Mathematics and Natural Computation
SN - 1793-0057
IS - 2
ER -