Extensionality with respect to indistinguishability operators
Extensionality is explored form different points of view. Extensional fuzzy subsets from a fuzzy equivalence relation E are considered as observable subsets with respect to the granularity generated by E. Interestingly, they are characterized as the fuzzy subsets that can be obtained as combinations...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| 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:2117/120193 |
| Acceso en línea: | https://hdl.handle.net/2117/120193 https://dx.doi.org/10.1142/S0218488518500113 |
| Access Level: | acceso abierto |
| Palabra clave: | Fuzzy logic Extensional mapping Extensional fuzzy subset Indistinguishability operator Fuzzy equivalence relation Fuzzy topology Type-2 fuzzy subset Lògica difusa Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica |
| Sumario: | Extensionality is explored form different points of view. Extensional fuzzy subsets from a fuzzy equivalence relation E are considered as observable subsets with respect to the granularity generated by E. Interestingly, they are characterized as the fuzzy subsets that can be obtained as combinations of the fuzzy equivalence classes of E. Extensional mappings are characterized topologically and the set of extensional mappings between two universes are algebraically determined. Specifying the results to fuzzy mappings from a universe X onto [0, 1] an interpretation of type-2 fuzzy subsets of X as fuzzification of its type-1 fuzzy subsets is provided. |
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