Characterization of unidimensional averaged similarities
A T-indistinguishability operator (or fuzzy similarity relation) E is called unidimensional when it may be obtained from one single fuzzy subset (or fuzzy criterion). In this paper, we study when a T-indistinguishability operator that has been obtained as an average of many unidimensional ones is un...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| 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:2117/116569 |
| Acceso en línea: | https://hdl.handle.net/2117/116569 https://dx.doi.org/10.1016/j.jal.2016.11.003 |
| Access Level: | acceso abierto |
| Palabra clave: | Fuzzy logic Indistinguishability operator Generator Quasi-arithmetic mean Representation theorem Lògica difusa Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica |
| Sumario: | A T-indistinguishability operator (or fuzzy similarity relation) E is called unidimensional when it may be obtained from one single fuzzy subset (or fuzzy criterion). In this paper, we study when a T-indistinguishability operator that has been obtained as an average of many unidimensional ones is unidimensional too. In this case, the single fuzzy subset used to generate E is explicitly obtained as the quasi-arithmetic mean of all the fuzzy criteria primarily involved in the construction of E. |
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