Triangular norm-based addition preserving linearity of t-sums of linear fuzzy intervals
The addition of fuzzy intervals based on a triangular norm $T$ is studied. It is shown that the addition based on a t-norm $T$ weaker than the Lukasiewicz t-norm $T_L$ acts on linear fuzzy intervals just as the $T_L$-based addition. Some examples are given.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1998 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2099/3506 |
| Acceso en línea: | https://hdl.handle.net/2099/3506 |
| Access Level: | acceso abierto |
| Palabra clave: | Fuzzy interval Linear fuzzy interval Triangular norm Conjunts, Teoria de Lògica difusa Classificació AMS::03 Mathematical logic and foundations::03E Set theory |
| Sumario: | The addition of fuzzy intervals based on a triangular norm $T$ is studied. It is shown that the addition based on a t-norm $T$ weaker than the Lukasiewicz t-norm $T_L$ acts on linear fuzzy intervals just as the $T_L$-based addition. Some examples are given. |
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