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

Hoang Viet Long, Haifa Bin Jebreen and Y. Chalco-Cano
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Hoang Viet Long: Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City 70000, 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

Mathematics, 2020, vol. 8, issue 10, 1-15

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.

Keywords: fuzzy differential equations; fuzzy difference equations; mixed continuous-discrete model; strongly generalized Hukuhara differentiability; time value of money (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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