On the degree of transitivity of a fuzzy relation
Considering a family generated from a t-norm T, the degree of T-transitivity of a fuzzy relation R is revisited and proved to coincide with the greatest c for which R is -transitive. This fact gives rise to the study of new families of t-norms to generate different degrees of transitivity with respe...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2021 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositório: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglês |
| OAI Identifier: | oai:upcommons.upc.edu:2117/366094 |
| Acesso em linha: | https://hdl.handle.net/2117/366094 https://dx.doi.org/10.1016/j.fss.2021.09.006 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Fuzzy logic T-norm Archimedean t-norm Fuzzy relation T-transitivity Degree of transitivity Lògica difusa Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica |
| Resumo: | Considering a family generated from a t-norm T, the degree of T-transitivity of a fuzzy relation R is revisited and proved to coincide with the greatest c for which R is -transitive. This fact gives rise to the study of new families of t-norms to generate different degrees of transitivity with respect to them. The mappings transforming fuzzy relations into transitive fuzzy relations smaller than or equal to the given ones are studied. |
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