Citation
Nguyen, Dinh Phu and Ahmadian, Ali and Nguyen, Nhut Hung and Salahshour, Soheil and Senu, Norazak
(2019)
Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model.
International Journal of Fuzzy Systems, 21.
pp. 1738-1754.
ISSN 1562-2479; ESSN: 2199-3211
Abstract
In this paper, we study two new binary operations, which are addition and scalar multiplication, for intuitionistic fuzzy numbers (IFNs). Thereafter, we introduce a semi-linear space for IFNs that it is called the narrow metric semi-linear space—L∗ . At the same time, we present a new type of intuitionistic fuzzy functions with a real domain and propose a number of concepts and properties for these functions such as geometric difference, geometric differentiability, derivative and integral. In addition, we give a model of initial value problem for intuitionistic fuzzy differential equations and present its application to an AIDS model. Some examples are given to illustrate the theoretical results.
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Official URL or Download Paper: https://link.springer.com/article/10.1007/s40815-0...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1007/s40815-019-00649-3 |
| Publisher: | Springer |
| Keywords: | Narrow metric semi-linear space; Intuitionistic fuzzy differential equations; Intuitionistic fuzzy numbers; AIDS models |
| Depositing User: | Mohamad Jefri Mohamed Fauzi |
| Date Deposited: | 06 Jul 2023 01:57 |
| Last Modified: | 06 Jul 2023 01:57 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s40815-019-00649-3 |
| URI: | http://psasir.upm.edu.my/id/eprint/81455 |
| Statistic Details: | View Download Statistic |
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