Graded sets, points and numbers
The basic tool considered in this paper is the so-called "graded set", defined on the analogy of the family of α-cuts of a fuzzy set. It is also considered the corresponding extensions of the concepts of a point and of a real number (again on the analogy of the fuzzy case). These new "...
| Autor: | |
|---|---|
| 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:2099/3515 |
| Acceso en línea: | https://hdl.handle.net/2099/3515 |
| Access Level: | acceso abierto |
| Palabra clave: | Fuzzy point Fuzzy number α-cuts Conjunts, Teoria de Programació lògica Classificació AMS::03 Mathematical logic and foundations::03E Set theory |
| Sumario: | The basic tool considered in this paper is the so-called "graded set", defined on the analogy of the family of α-cuts of a fuzzy set. It is also considered the corresponding extensions of the concepts of a point and of a real number (again on the analogy of the fuzzy case). These new "graded concepts" avoid the disadvantages pointed out by Gerla (for the fuzzy points) and by Kaleva and Seikkala (for the convergence of sequences of fuzzy numbers). |
|---|