Abstract
The paper presents a formal semantics of decision-making based on Dempster-Shafer belief structures. We introduced a method of decision support taking into account the subjective expert information formalized in the form of family of estimations based on the combination of hypotheses and ordered weighted average operators. The task is formulated in terms of the belief structures and allows evaluating the minimum and maximum objectives through different types of aggregation operators. In the context of critical infrastructure management, our research shows that the matrix of possible solutions can be represented as a payoff matrix including performance indicators or in the form of a risk matrix corresponding losses on the specific combinations of decisions. To ensure variation in the goals we use different types of ordering alternatives depending on the type of the specific problem. Finally, an illustrative example was given to selecting strategies and prioritizing decisions to mitigate targeted cyber intrusions fit to effective IT-security risk management in different critical application.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Finomore, V., Sitz, A., Blair, E., Rahill, K., Champion, M., Funke, G., Mancuso, V., Knott, B.: Effects of Cyber Disruption in a Distributed Team Decision Making Task. In: Proceedings of the Human Factors and Ergonomics Society Annual Meeting, vol. 58, pp. 415–418 (2014)
Zhanga, Y., Huanga, S., Guob, S., Zhu, J.: Multi-sensor Data Fusion for Cyber Security Situation Awareness. Procedia Environmental Sciences 10, 1029–1034 (2011)
Zomlot, L., Sundaramurthy, S.C., Luo, K., Ou, X., Rajagopalan, S.R.: Prioritizing Intrusion Analysis Using Dempster-Shafer Theory. In: AISec 2011 Proceedings of the 4th ACM Workshop on Security and Artificial Intelligence, pp. 59–70 (2011)
Hall, D.L., McMullen, S.A.H.: Mathematical Techniques in Multisensor Data Fusion, 2nd edn. Artech House, Inc. (2004)
Yang, J.B., Singh, M.G.: An evidential reasoning approach for multiple attribute decision making with uncertainty. IEEE Transactions on Systems, Man, and Cybernetics 24(1), 1–18 (1994)
Shafer, G.: A mathematical theory of evidence. Princeton University Press, Princeton (1976)
Dubois, D., Prade, H.: Representation and combination uncertainty with belief functions and possibility measures. Computation Intelligence 4, 244–264 (1988)
Lefevre, E., Colot, O., Vannoorenberghe, P.: Belief functions combination and conflict management. Information Fusion 3(2), 149–162 (2002)
Murphy, C.: Combining belief functions when evidence conflicts. Decision Support Systems 29(1), 1–9 (2000)
Smets, P.: The combination of evidence in the transferable belief model. Pattern Analysis and Machine Intelligence 12, 447–458 (1990)
Yager, R.R., Kacprzyk, J., Fedrizzi, M. (eds.): Advances in the Dempster-Shafer theory of evidence. John Wiley & Sons, Inc., NY (1994)
Yager, R.R.: On the Dempster-Shafer framework and new combination rules. Information Science 41(2), 93–137 (1987)
Yager, R.R.: On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans. Systems, Man and Cybernetics 18, 183–190 (1988)
Zhou, S.-M., Chiclana, F., John, R.I., Garibaldi, J.M.: α-Level Aggregation: A Practical Approach to Type-1 OWA Operation for Aggregating Uncertain Information with Applications to Breast Cancer Treatments. IEEE Transactions on Knowledge and Data Engineering, 1–14 (2011)
Merigó, J.M., Gil-Lafuente, A.M.: Decision making with the OWA operator in sport management. In: XIV Congreso Español Sobre TecnologÃas y Lógica Fuzzy, ESTYLF 2008, pp. 1–7 (2008)
Merigó, J.M.: Probabilistic decision making with the OWA operator and its application in investment management. In: European Society for Fuzzy Logic and Technology, EUSFLAT, pp. 1364–1369 (2009)
Deng, X., Li, Y., Deng, Y.: A group decision making method based on Dempster-Shafer theory of evidence and IOWA operator. Journal of Computaional Information Systems 8(9), 3929–3936 (2012)
Miller, S., Appleby, S.: Evolving OWA operators for cyber security decision making problems. In: IEEE Symposium on Computational Intelligence in Cyber Security (CICS), pp. 15–22 (2013)
Merigó, J.M., Gil-Lafuente, A.M.: A method for decision making with the OWA operator, http://www.doiserbia.nb.rs/img/doi/1820-0214/2012/1820-02141100044M.pdf (access date: January 2015)
Torra, V., Narukawa, Y.: Modeling decisions: information fusion and aggregation operators. Springer (2007)
Yager, R.R., Xu, Z.S.: The continuous ordered weighted geometric operator and its application to decision making. Fuzzy Sets and Systems 157, 1393–1402 (2006)
Yager, R.R.: Quantifier guided aggregation using OWA operators. Int. J. of Intelligent Systems 11, 49–73 (1996)
Zadeh, L.A.: A computational approach to fuzzy quantifiers in natural languages. Computer and Mathematics with Applications 9, 149–184 (1983)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Skarga-Bandurova, I., Nesterov, M., Kovalenko, Y. (2015). A Group Decision Support Technique for Critical IT Infrastructures. In: Zamojski, W., Mazurkiewicz, J., Sugier, J., Walkowiak, T., Kacprzyk, J. (eds) Theory and Engineering of Complex Systems and Dependability. DepCoS-RELCOMEX 2015. Advances in Intelligent Systems and Computing, vol 365. Springer, Cham. https://doi.org/10.1007/978-3-319-19216-1_42
Download citation
DOI: https://doi.org/10.1007/978-3-319-19216-1_42
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19215-4
Online ISBN: 978-3-319-19216-1
eBook Packages: EngineeringEngineering (R0)