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...
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| 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/ https://link.springer.com/article/10.1007/s40815-019-00649-3 |
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| Summary: | 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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