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Vulnerability and Government Response to Human Trafficking: Vague Fuzzy Incidence Graphs

Author

Listed:
  • John N. Mordeson

    (Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA)

  • Sunil Mathew

    (Department of Mathematics, National Institute of Technology, Calicut, Kerala 673601, India)

  • R. A. Borzooei

    (Department of Mathematics, Shahid Beheshti University, Tehran, Iran)

Abstract

We introduce the notion of a vague incidence graph and its eccentricity. We apply the results to problems involving human trafficking and illegal immigration. We are particularly interested in the roll played by countries’ vulnerability and their government’s response to human trafficking. We show of the leading illegal immigration routes through Mexico to the United States that Somalia has the highest eccentricity. We also provide measures on how much a region needs to reduce flow or increase government response to be modelled by a fuzzy incidence graph. It turns out that the Commonwealth of Independent States has the largest measure for both vulnerability and government response than any other region.

Suggested Citation

  • John N. Mordeson & Sunil Mathew & R. A. Borzooei, 2018. "Vulnerability and Government Response to Human Trafficking: Vague Fuzzy Incidence Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 203-219, July.
    • Handle: RePEc:wsi:nmncxx:v:14:y:2018:i:02:n:s1793005718500138
    DOI: 10.1142/S1793005718500138
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    References listed on IDEAS

    as
    1. E. Darabian & R. A. Borzooei, 2018. "Results on Vague Graphs with Applications in Human Trafficking," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 37-52, March.
    2. John N. Mordeson & Sunil Mathew & Davender S. Malik, 2018. "Generalized Fuzzy Relations," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 187-202, July.
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    Citations

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    Cited by:

    1. John N. Mordeson & Sunil Mathew, 2018. "t-Norm Fuzzy Incidence Graphs," Mathematics, MDPI, vol. 6(4), pages 1-12, April.
    2. Yongsheng Rao & Ruxian Chen & Pu Wu & Huiqin Jiang & Saeed Kosari, 2021. "A Survey on Domination in Vague Graphs with Application in Transferring Cancer Patients between Countries," Mathematics, MDPI, vol. 9(11), pages 1-19, May.
    3. Shanookha Ali & Sunil Mathew & John N. Mordeson & Hossein Rashmanlou, 2018. "Vertex Connectivity of Fuzzy Graphs with Applications to Human Trafficking," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 457-485, November.

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    1. Shanookha Ali & Sunil Mathew & John N. Mordeson & Hossein Rashmanlou, 2018. "Vertex Connectivity of Fuzzy Graphs with Applications to Human Trafficking," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 457-485, November.
    2. John N. Mordeson & Sunil Mathew & Davender S. Malik, 2018. "Generalized Fuzzy Relations," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 187-202, July.
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