Idempotent operators on a finite chain
This work is devoted to find and study some possible idempotent operators on a finite chain $L$. Specially, all idempotent operators on $L$ which are associative, commutative and non-decreasing in each place are characterized. By adding one smoothness condition, all these operators reduce to special...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1999 |
| 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:2099/3556 |
| Acceso en línea: | https://hdl.handle.net/2099/3556 |
| Access Level: | acceso abierto |
| Palabra clave: | T-norms T-conorms Idempotent operators Labels Expert systems Uncertainty Conjunts, Teoria de Classificació AMS::03 Mathematical logic and foundations::03E Set theory |
| Sumario: | This work is devoted to find and study some possible idempotent operators on a finite chain $L$. Specially, all idempotent operators on $L$ which are associative, commutative and non-decreasing in each place are characterized. By adding one smoothness condition, all these operators reduce to special combinations of Minimum and Maximum. |
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