Fuzzy Approach for Designing Security Framework

Chauhan, Kapil

doi:10.1002/9781119760429.ch10

Cited by 2 publications

(1 citation statement)

References 14 publications

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“…The light research from Scopus with a search string "cybersecurity_X", where X is from the set {game theory, probability, Bayesian} shows {228, 41, 99} the sources respectively. The other sources contain applied approaches from Combinatorial mathematics, probabilities, and statistic [58], graphs theory [59], neural networks [60,61], fuzzy logic and fuzzy sets [62,63], and group theory in cryptography [64 -66].…”

Section: The Literature Review and Related Activitiesmentioning

confidence: 99%

Mathematical Approaches Transform Cybersecurity from Protoscience to Science

et al. 2023

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The area of cybersecurity problems has reached the stage of becoming a science. This raises questions about the connection between the mathematical theories used in cybersecurity research and their relation to the methodology for experiments and conceptual models synthesized from the academic community. This research proposes an analytical review of the mathematical ideas used in applied cyber-security and theoretical explorations. This meta viewpoint is dedicated to standard mathematical theories applied in cybersecurity issues. The ground of the work is methodological problems relating to the validation of experiments and models with mathematical ideas in the cybersecurity exploration of digital space. This research emphasizes the application of game theory, catastrophe theory, queuing systems, and Markov chains. The methods are shown without claiming to be exhaustive. The goal is to review the currently established implementation of mathematical approaches to cybersecurity. A spectrum of possibilities for applying mathematical apparatus in future research for cybersecurity is given. After a review of the literature for each presented mathematical approach, we expose a list of problematic areas in which this has already been implemented.

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