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A New Continuous-Discrete Fuzzy Model and Its Application in Finance

Author

Listed:
  • Hoang Viet Long

    (Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City 70000, Vietnam
    Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam)

  • Haifa Bin Jebreen

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Y. Chalco-Cano

    (Departamento de Matemática, Universidad de Tarapacá, Casilla 7D, Arica 09010, Chile)

Abstract

In this paper, we propose a fuzzy differential-difference equation for modeling of mixed continuous-discrete phenomena. In the special case, we present the general solution of linear fuzzy differential-difference equations. The dynamical process in the intervals is presented by the corresponding fuzzy differential equation and with impulsive jumps in some points. We illustrate the applicability of the model to study the time value of money.

Suggested Citation

  • Hoang Viet Long & Haifa Bin Jebreen & Y. Chalco-Cano, 2020. "A New Continuous-Discrete Fuzzy Model and Its Application in Finance," Mathematics, MDPI, vol. 8(10), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1808-:d:429161
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    References listed on IDEAS

    as
    1. Chalco-Cano, Y. & Román-Flores, H., 2008. "On new solutions of fuzzy differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 112-119.
    2. Jaime Fabián Díaz Córdova & Edisson Coba Molina & Paúl Navarrete López, 2017. "Fuzzy logic and financial risk. A proposed classificationof financial risk to the cooperative sector," Contaduría y Administración, Accounting and Management, vol. 62(5), pages 33-34, Diciembre.
    Full references (including those not matched with items on IDEAS)

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