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A New Continuous-Discrete Fuzzy Model and Its Application in Finance
Journal article   Peer reviewed

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

Hoang Long, Haifa Bin Jebreen and Y Chalco-Cano
Mathematics (Basel), Vol.8(10), pp.1808-16
01/10/2020

Abstract

Difference equations Differential equations Fuzzy sets Securities markets Set theory
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.

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