Ovchinnikov's automorphisms revisited
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Autores: Enric Trillas
, A. Rodríguez, Susana Cubillo Villanueva
- Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 1, Nº. 1, 1994, págs. 83-92
- Idioma: inglés
- Títulos paralelos:
- Automorfismos de Ovchinnikov revisitados
- Enlaces
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Resumen
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.
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