Fuzzy Input-Output Inoperability Model
(Short Paper)
Conference paper
- 1.9k Downloads
Abstract
In this paper the Input Output Inoperability Model (IIM) is extended in order to model perturbations by means of Fuzzy numbers, thus allowing to set up the model by means of vague and linguistic data.
Keywords
Critical-Infrastructures Fuzzy Systems Vague DataPreview
Unable to display preview. Download preview PDF.
References
- 1.Haimes, Y., Jiang, P.: Leontief-based Model of Risk in Complex Interconnected Infrastructures. Journal of Infrastructure Systems, 1–12 (2001)Google Scholar
- 2.Lakshmikantham, V., Mohapatra, R.N.: Theory of fuzzy differential equations and inclusions. CRC Press LLC (2003)Google Scholar
- 3.Lewis, T.G.: Critical Infrastructure Protection in Homeland Security: Defending a Networked Nation. Wiley (2006)Google Scholar
- 4.Orsi, M.J., Santos, J.R.: Incorporating Time-Varying Perturbations Into the Dynamic Inoperability InputOutput Model. IEEE Tran. on Systems, Man and Cybernetics - Part A: Systems and Humans 40(1), 100–106 (2010)CrossRefGoogle Scholar
- 5.Panzieri, S., Setola, R.: Failures propagation in critical interdependent infrastructures. Int. J. Modelling, Identification and Control 3(1) (2008)Google Scholar
- 6.Pearson, D.: A property of Linear Fuzzy Differential Equations. Appl. Math. Lett. 10(3), 99–103 (1997)MathSciNetCrossRefzbMATHGoogle Scholar
- 7.Setola, R., De Porcellinis, S., Sforna, M.: Critical infrastructure dependency assessment using the input-output inoperability model. Int. Journ. of Critical Infrastructure Protection 2, 170–178 (2009)CrossRefGoogle Scholar
- 8.Oliva, G., Setola, R., Panzieri, S.: Distributed Consensus under Ambiguous Information. International Journal of Systems of Systems Engineering 4(1), 55–78 (2013), doi:10.1504/IJSSE.2013.053504CrossRefGoogle Scholar
- 9.Oliva, G., Panzieri, S., Setola, R.: Distributed Synchronization Under Uncertainty: A Fuzzy Approach. Fuzzy Sets and Systems 206, 103–120 (2012), doi:10.1016/j.fss.2012.02.003MathSciNetCrossRefzbMATHGoogle Scholar
- 10.Oliva, G.: Stability and Level-wise Representation of Discrete-time Fuzzy Systems. International Journal of Fuzzy Systems 14(2), 185–192 (2012)MathSciNetGoogle Scholar
- 11.Oliva, G., Panzieri, S., Setola, R.: Fuzzy Dynamic Input-Output Inoperability Model. International Journal on Critical Infrastructure Protection 4(3-4), 165–175 (2011), doi:10.1016/j.ijcip.2011.09.003CrossRefGoogle Scholar
Copyright information
© Springer-Verlag Berlin Heidelberg 2013