Preserving fuzzy subgroups and indistinguishability operators
| Autor: | Jorge Elorza, Jordi Recasens, M.J. Chasco, Carlos Bejines |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Tecnologia de l'Arquitectura |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Pure mathematics Class (set theory) Mathematics::General Mathematics Logic Group (mathematics) education 02 engineering and technology Fuzzy logic Mathematics::Group Theory Lògica difusa 020901 industrial engineering & automation Artificial Intelligence Close relationship Matemàtiques i estadística::Lògica matemàtica [Àrees temàtiques de la UPC] 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Mathematics |
| Zdroj: | Recercat. Dipósit de la Recerca de Catalunya instname UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Popis: | In this paper we study the class of all fuzzy subgroups defined with respect to a given t-norm on a fixed group. We find necessary and sufficient conditions over two t-norms to guarantee that the class of all fuzzy subgroups induced by the first t-norm is contained in the class of all fuzzy subgroups with respect to by the second one. We characterize the functions that transform fuzzy subgroups into fuzzy subgroups. The close relationship between indistinguishability operators and fuzzy subgroups allows us to obtain similar results for some classes of indistinguishability operators. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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