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Effect of Resonance in the Effective Control Model Based on the Spread of Influence on Directed Weighted Signed Graphs

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Proceedings of the Fourth International Scientific Conference “Intelligent Information Technologies for Industry” (IITI’19) (IITI 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1156))

Abstract

This article proposes a method of selecting the damping factor (DF) based on finding the boundaries of the range of the domain of the DF for a model of effective controls, reflecting the spread of influence on the directed weighted signed graphs. The graph model is a fuzzy cognitive map (FCM). Two ranges of the subset values of the domain of the DF are proposed: (i) the admissible range, within which the co-directionality of the response and impact vectors is guaranteed to prevail, and (ii) the resonance range, within which there is a rapid rearrangement and reversal of the ranks of the vertices. An interpretation of the resonance surge for this model of the spread of influence is proposed.

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References

  1. Page, L., Brin, S., Motwany, R., Winograd, T.: The PageRank citation ranking: bringing order to the web. In: 7th International World Wide Web Conference, pp. 161–172 (1998)

    Google Scholar 

  2. Goltsev, A.V., Dorogovtsev, S.N., Oliveira, J.G., Mendes, J.F.F.: Localization and spreading of diseases in complex networks. Phys. Rev. Lett. 109(12), 128702 (2012)

    Article  Google Scholar 

  3. Kosko, B.: Fuzzy cognitive maps. Int. J. Man Mach. Stud. 24(1), 65–75 (1986)

    Article  Google Scholar 

  4. Knight, C.J.K., Lloyd, D.J.B., Penn, A.S.: Linear and sigmoidal fuzzy cognitive maps: an analysis of fixed points. Appl. Soft Comput. 15, 193–202 (2014)

    Article  Google Scholar 

  5. Hobbs, B.F., Ludsin, S.A., Knight, R.L., Ryan, P.A., Biberhofer, J., Ciborowski, J.J.H.: Fuzzy cognitive mapping as a tool to define management objectives for complex ecosystems. Ecol. Appl. 12(5), 1548–1565 (2002)

    Article  Google Scholar 

  6. Tselykh, A.N., Vasilev, V.S., Tselykh, L.A., Barkovskii, S.A.: Method maximizing the spread of influence in directed signed weighted graphs. Adv. Electr. Electron. Eng. 15(2), 203–214 (2017)

    Google Scholar 

  7. Tselykh, A., Vasilev, V., Tselykh, L.: Management of control impacts based on maximizing the spread of influence. Int. J. Autom. Comput. 16, 341–353 (2019)

    Article  Google Scholar 

  8. Cai, G., Wang, R., Qiang, B.: Online social network evolving model based on damping factor. Procedia Comput. Sci. 9, 1338–1344 (2012)

    Article  Google Scholar 

  9. de Arruda, G.F., Rodrigues, F.A., Moreno, Y.: Fundamentals of spreading processes in single and multilayer complex networks. Phys. Rep. 756, 1–59 (2018)

    Article  MathSciNet  Google Scholar 

  10. Son, S.-W., Christensen, C., Grassberger, P., Paczuski, M.: PageRank and rank-reversal dependence on the damping factor. Phys. Rev. E 86(6), 066104 (2012)

    Article  Google Scholar 

  11. Boldi, P., Santini, M., Vigna, S.: PageRank as a function of the damping factor. In: Proceedings of the 14th International Conference on World Wide Web - WWW 2005, p. 557 (2005)

    Google Scholar 

  12. Bressan, M., Peserico, E.: Choose the damping, choose the ranking? J. Discrete Algorithms 8(2), 199–213 (2010)

    Article  MathSciNet  Google Scholar 

  13. Bonacich, P., Lloyd, P.: Eigenvector-like measures of centrality for asymmetric relations. Soc. Netw. 23(3), 191–201 (2001)

    Article  Google Scholar 

  14. Katz, L.: A new status index derived from sociometric analysis. Psychometrika 18(1), 39–43 (1953)

    Article  Google Scholar 

  15. Hobbs, B.F., Ludsin, S.A., Knight, R.L., Ryan, P.A., Biberhofer, J., Ciborowski, J.J.H.: Fuzzy cognitive mapping as a tool to define management objectives for complex ecosystems. Ecol. Appl. 12(5), 1548 (2002)

    Article  Google Scholar 

  16. Tikhonov, A., Arsenin, V.: Solutions of Ill-Posed Problems. Wiley, New York (1977)

    MATH  Google Scholar 

  17. Bevilacqua, M., Ciarapica, F.E., Mazzuto, G.: Fuzzy cognitive maps for adverse drug event risk management. Saf. Sci. 102, 194–210 (2018)

    Article  Google Scholar 

  18. Boguñá, M., Castellano, C., Pastor-Satorras, R.: Nature of the epidemic threshold for the susceptible-infected-susceptible dynamics in networks. Phys. Rev. Lett. 111(6), 068701 (2013)

    Article  Google Scholar 

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Acknowledgements

This work was supported by the Russian Foundation for Basic Research [grant number № 19-01-00109].

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Authors and Affiliations

  1. SFEDU, Taganrog, Russia

    Alexander Tselykh & Vladislav Vasilev

  2. RSUE, Taganrog, Russia

    Larisa Tselykh

Authors
  1. Alexander Tselykh
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  2. Vladislav Vasilev
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  3. Larisa Tselykh
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Corresponding author

Correspondence to Larisa Tselykh .

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Editors and Affiliations

  1. Rostovskogo Strelkovogo Polka Narodnogo, Rostov State Transport University, Rostov-on-Don, Russia

    Sergey Kovalev

  2. Bauman Moscow State Technical University, Moscow, Russia

    Valery Tarassov

  3. Department of Computer Science, VSB-Technical University of Ostrava, Ostrava-Poruba, Czech Republic

    Vaclav Snasel

  4. Rostovskogo Strelkovogo Polka, Rostov State Transport University, Rostov-on-Don, Russia

    Andrey Sukhanov

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Tselykh, A., Vasilev, V., Tselykh, L. (2020). Effect of Resonance in the Effective Control Model Based on the Spread of Influence on Directed Weighted Signed Graphs. In: Kovalev, S., Tarassov, V., Snasel, V., Sukhanov, A. (eds) Proceedings of the Fourth International Scientific Conference “Intelligent Information Technologies for Industry” (IITI’19). IITI 2019. Advances in Intelligent Systems and Computing, vol 1156. Springer, Cham. https://doi.org/10.1007/978-3-030-50097-9_28

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