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Trust model for social network using singular value decomposition

Author

Listed:
  • Davis Bundi Ntwiga

    (School of Mathematics, University of Nairobi, Nairobi, Kenya)

  • Patrick Weke

    (School of Mathematics, University of Nairobi, Nairobi, Kenya)

  • Michael Kiura Kirumbu

    (School of Sciences, Engineering and Health, Daystar University, Nairobi, Kenya)

Abstract

For effective interactions to take place in a social network, trust is important. We model trust of agents using the peer to peer reputation ratings in the network that forms a real valued matrix. Singular value decomposition discounts the reputation ratings to estimate the trust levels as trust is the subjective probability of future expectations based on current reputation ratings. Reputation and trust are closely related and singular value decomposition can estimate trust using the real valued matrix of the reputation ratings of the agents in the network. Singular value decomposition is an ideal technique in error elimination when estimating trust from reputation ratings. Reputation estimation of trust is optimal at the discounting of 20 %.

Suggested Citation

  • Davis Bundi Ntwiga & Patrick Weke & Michael Kiura Kirumbu, 2016. "Trust model for social network using singular value decomposition," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 14(3), pages 296-302.
    • Handle: RePEc:zna:indecs:v:14:y:2016:i:3:p:296-302
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    Citations

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    Cited by:

    1. Ntwiga, Davis Bundi, 2018. "Credit risk analysis for low income earners," KBA Centre for Research on Financial Markets and Policy Working Paper Series 24, Kenya Bankers Association (KBA).
    2. Harish Kamath & Noor Firdoos Jahan, 2020. "Using Hidden Markov Model to Monitor Possible Loan Defaults in Banks," International Journal of Economics & Business Administration (IJEBA), International Journal of Economics & Business Administration (IJEBA), vol. 0(4), pages 1097-1107.

    More about this item

    Keywords

    singular value decomposition; reputation; trust; social network; discounting;
    All these keywords.

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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