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Soft Statistics with Respect to Utility and Application to Human Trafficking

Author

Listed:
  • Santanu Acharjee

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

  • John N. Mordeson

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

Abstract

It is well known that statistics deals with quantitative analysis. Thus, there is a lack of approach to do quantitative analysis in the presence of qualitative attributes. Soft set theory has the freedom to deal with attributes, [0, 1], etc. along with quantity. Thus, we introduce some fundamental ideas of soft statistics.Here, soft mean, soft standard deviation, soft coefficient of variation, soft correlation coefficient are introduced and some theorems are proved with respect to utility. Utility theory provides an analysis of choice behavior. As an application of our notions and results, we find soft correlation coefficients between vulnerability and government responses of various regions across the world. The data from “The Global Slavery Index 2016” are considered for application purposes.

Suggested Citation

  • Santanu Acharjee & John N. Mordeson, 2017. "Soft Statistics with Respect to Utility and Application to Human Trafficking," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 289-310, November.
    • Handle: RePEc:wsi:nmncxx:v:13:y:2017:i:03:n:s1793005717400117
    DOI: 10.1142/S1793005717400117
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    References listed on IDEAS

    as
    1. Sunil Mathew & John N. Mordeson, 2017. "Directed Fuzzy Networks as a Model to Illicit Flows and Max Flow Min Cut Theorem," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 219-229, November.
    2. Musavarah Sarwar & Muhammad Akram, 2017. "Novel Applications of m-Polar Fuzzy Concept Lattice," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 261-287, November.
    3. John N. Mordeson & Sunil Mathew, 2017. "Human Trafficking: Source, Transit, Destination Designations," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 209-218, November.
    4. John N. Mordeson & Michel Mallenby & Sunil Mathew & Santanu Acharjee, 2017. "Human Trafficking: Policy Intervention," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 341-358, November.
    5. John N. Mordeson & Sunil Mathew, 2017. "Non-Deterministic Flow in Fuzzy Networks and Its Application in Identification of Human Trafficking Chains," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 231-243, November.
    6. John N. Mordeson & Sunil Mathew, 2017. "Local Look at Human Trafficking," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 327-340, November.
    7. Sunil Mathew & John N. Mordeson, 2017. "Fuzzy Incidence Blocks and their Applications in Illegal Migration Problems," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 245-260, November.
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    Cited by:

    1. Acharjee S, 2018. "There’s Plenty of Room at Bottom of Biostatistics and Biometrics," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 6(4), pages 116-117, April.

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