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Open AccessArticle

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

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Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City 70000, Vietnam
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Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
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Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Departamento de Matemática, Universidad de Tarapacá, Casilla 7D, Arica 09010, Chile
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(10), 1808; https://doi.org/10.3390/math8101808
Received: 19 September 2020 / Revised: 2 October 2020 / Accepted: 5 October 2020 / Published: 16 October 2020
(This article belongs to the Special Issue Fuzzy Sets, Fuzzy Logic and Their Applications 2020)
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. View Full-Text
Keywords: fuzzy differential equations; fuzzy difference equations; mixed continuous-discrete model; strongly generalized Hukuhara differentiability; time value of money fuzzy differential equations; fuzzy difference equations; mixed continuous-discrete model; strongly generalized Hukuhara differentiability; time value of money
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Long, H.V.; Jebreen, H.B.; Chalco-Cano, Y. A New Continuous-Discrete Fuzzy Model and Its Application in Finance. Mathematics 2020, 8, 1808.

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