Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model
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 intui...
| Main Authors: | , , , , |
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| Format: | Article |
| Published: |
Springer
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81455/ |
| _version_ | 1848859108794433536 |
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| author | Nguyen, Dinh Phu Ahmadian, Ali Nguyen, Nhut Hung Salahshour, Soheil Senu, Norazak |
| author_facet | Nguyen, Dinh Phu Ahmadian, Ali Nguyen, Nhut Hung Salahshour, Soheil Senu, Norazak |
| author_sort | Nguyen, Dinh Phu |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T12:24:06Z |
| format | Article |
| id | upm-81455 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T12:24:06Z |
| publishDate | 2019 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-814552023-07-06T01:57:07Z http://psasir.upm.edu.my/id/eprint/81455/ Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model Nguyen, Dinh Phu Ahmadian, Ali Nguyen, Nhut Hung Salahshour, Soheil Senu, Norazak 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. Springer 2019-07-08 Article PeerReviewed 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 https://link.springer.com/article/10.1007/s40815-019-00649-3 10.1007/s40815-019-00649-3 |
| spellingShingle | Nguyen, Dinh Phu Ahmadian, Ali Nguyen, Nhut Hung Salahshour, Soheil Senu, Norazak Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model |
| title | Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model |
| title_full | Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model |
| title_fullStr | Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model |
| title_full_unstemmed | Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model |
| title_short | Narrow metric semi-linear space of intuitionistic fuzzy numbers: application to AIDS model |
| title_sort | narrow metric semi-linear space of intuitionistic fuzzy numbers: application to aids model |
| url | http://psasir.upm.edu.my/id/eprint/81455/ http://psasir.upm.edu.my/id/eprint/81455/ http://psasir.upm.edu.my/id/eprint/81455/ |