A New Continuous-Discrete Fuzzy Model and Its Application in Finance
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 fuz...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/10/1808 |
| _version_ | 1797550723918987264 |
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| author | Hoang Viet Long Haifa Bin Jebreen Y. Chalco-Cano |
| author_facet | Hoang Viet Long Haifa Bin Jebreen Y. Chalco-Cano |
| author_sort | Hoang Viet Long |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T15:34:24Z |
| format | Article |
| id | doaj.art-533c950c6c8341aebfda017e98c57bcd |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T15:34:24Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-533c950c6c8341aebfda017e98c57bcd2023-11-20T17:22:10ZengMDPI AGMathematics2227-73902020-10-01810180810.3390/math8101808A New Continuous-Discrete Fuzzy Model and Its Application in FinanceHoang Viet Long0Haifa Bin Jebreen1Y. Chalco-Cano2Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City 70000, VietnamDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartamento de Matemática, Universidad de Tarapacá, Casilla 7D, Arica 09010, ChileIn 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.https://www.mdpi.com/2227-7390/8/10/1808fuzzy differential equationsfuzzy difference equationsmixed continuous-discrete modelstrongly generalized Hukuhara differentiabilitytime value of money |
| spellingShingle | Hoang Viet Long Haifa Bin Jebreen Y. Chalco-Cano A New Continuous-Discrete Fuzzy Model and Its Application in Finance Mathematics fuzzy differential equations fuzzy difference equations mixed continuous-discrete model strongly generalized Hukuhara differentiability time value of money |
| title | A New Continuous-Discrete Fuzzy Model and Its Application in Finance |
| title_full | A New Continuous-Discrete Fuzzy Model and Its Application in Finance |
| title_fullStr | A New Continuous-Discrete Fuzzy Model and Its Application in Finance |
| title_full_unstemmed | A New Continuous-Discrete Fuzzy Model and Its Application in Finance |
| title_short | A New Continuous-Discrete Fuzzy Model and Its Application in Finance |
| title_sort | new continuous discrete fuzzy model and its application in finance |
| topic | fuzzy differential equations fuzzy difference equations mixed continuous-discrete model strongly generalized Hukuhara differentiability time value of money |
| url | https://www.mdpi.com/2227-7390/8/10/1808 |
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