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Aggregation Operators: Applications to Human Trafficking and Slavery

Author

Listed:
  • John N. Mordeson

    (Center for Mathematics of Uncertainty, Department of Mathematics, Creighton University, Omaha, Nebraska, USA)

  • Sunil Mathew

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

  • Santanu Acharjee

    (Economics and Computational Rationality Group, Department of Mathematics, Debraj Roy College, Golaghat 785621, Assam, India)

Abstract

We introduce the idea of using aggregation operators to replace the concepts of minimum and maximum in the basic definitions and results involving fuzzy relations and fuzzy graphs. This development has begun with the replacement of minimum and maximum with t-norms and t-conorms, respectively. With this new theory, it will be possible to open the door to new theoretical results and at times more useful application methods. We apply our results in the areas of human trafficking and slavery.

Suggested Citation

  • John N. Mordeson & Sunil Mathew & Santanu Acharjee, 2018. "Aggregation Operators: Applications to Human Trafficking and Slavery," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 403-421, November.
  • Handle: RePEc:wsi:nmncxx:v:14:y:2018:i:03:n:s1793005718500242
    DOI: 10.1142/S1793005718500242
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    References listed on IDEAS

    as
    1. John N. Mordeson & Sunil Mathew, 2018. "t-Norm Fuzzy Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 129-143, 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.
    Full references (including those not matched with items on IDEAS)

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