Ovchinnikov's automorphisms revisited.

Trillas, Enric, Rodríguez de Soto, Adolfo, and Cubillo, Susana. "Ovchinnikov's automorphisms revisited.." Mathware and Soft Computing 1.1 (1994): 83-92. <http://eudml.org/doc/39015>.

@article{Trillas1994,
abstract = {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.},
author = {Trillas, Enric, Rodríguez de Soto, Adolfo, Cubillo, Susana},
journal = {Mathware and Soft Computing},
keywords = {Conjuntos difusos; Representaciones de antónimos; Función de negación; Representaciones de sinónimos; automorphisms of fuzzy sets; automorphisms of the unit interval; positive -norm; -dual -conorm},
language = {eng},
number = {1},
pages = {83-92},
title = {Ovchinnikov's automorphisms revisited.},
url = {http://eudml.org/doc/39015},
volume = {1},
year = {1994},
}

TY - JOUR
AU - Trillas, Enric
AU - Rodríguez de Soto, Adolfo
AU - Cubillo, Susana
TI - Ovchinnikov's automorphisms revisited.
JO - Mathware and Soft Computing
PY - 1994
VL - 1
IS - 1
SP - 83
EP - 92
AB - 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.
LA - eng
KW - Conjuntos difusos; Representaciones de antónimos; Función de negación; Representaciones de sinónimos; automorphisms of fuzzy sets; automorphisms of the unit interval; positive -norm; -dual -conorm
UR - http://eudml.org/doc/39015
ER -