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 |