Título inglés |
Ovchinnikov's automorphisms revisited. |
Título español |
Automorfismos de Ovchinnikov revisitados. |
Autor/es |
Trillas, Enric ; Rodríguez de Soto, Adolfo ; Cubillo, Susana |
Organización |
Dep. Intel. Artif. Fac. Inform. Univ. Politéc. Madrid, Boadilla del Monte (Madrid), España;Dep. Dir. Econ. Empres. Fac. Cienc. Econ. Empres. Univ. León, León, España;Dep. Mat. Apl. Fac. Inform. Univ. Politéc. Madrid, Boadilla del Monte (Madrid), España |
Revista |
1134-5632 |
Publicación |
1994, 1 (1): 83-92, 6 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
In [6] an approach to the representation of synonyms and antonyms via the automorphisms of the De Morgan Algebra [0,1]X was suggested. In [3], Ovchinnikov established a representation theorem for automorphisms of the function's complete and completely distributive lattice [0,1]X with the pointwise extension of Min and Max operations in [0,1]. Ovchinnikov results are now inmediately generalized by using a positive t-norm T and its dual eta-dual t-conorm T*. These results are applied to study the automorphism of [0,1] with different t-norms. Finally, the transformation by means of automorphisms of a given fuzzy on another given fuzzy set is studied. |
Clasificación UNESCO |
120703 |
Palabras clave español |
Conjuntos difusos ; Representaciones de antónimos ; Función de negación ; Representaciones de sinónimos |
Código MathReviews |
MR1301962 |
Código Z-Math |
Zbl 0814.04006 |
Acceso al artículo completo |