Representation of a Boolean algebra by its triangular norms.

Título inglés	Representation of a Boolean algebra by its triangular norms.
Título español	Representación de un álgebra booleana por sus normas triangulares.
Autor/es	Ray, Suryansu
Organización	Dep. Math. Zakir Husain Coll. Univ. Delhi, Nueva Delhi, India
Revista	1134-5632
Publicación	1997, 4 (1): 63-68, 7 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Given a complete and atomic Boolean algebra B, there exists a family taugamma of triangular norms on B such that, under the partial ordering of triangular norms, taugamma is a Boolean algebra isomorphic to B, where gamma is the set of all atoms in B. In other words, as we have shown in this note, every complete and atomic Boolean algebra can be represented by its own triangular norms. What we have not shown in this paper is our belief that taugamma is not unique for B and that, for such a representation, B needs neither to be complete, nor to be atomic.
Clasificación UNESCO	110202 ; 120114
Palabras clave español	Norma triangular ; Algebras de Boole ; Conjuntos difusos
Código MathReviews	MR1463109
Código Z-Math	Zbl 0873.06009
Acceso al artículo completo