Título inglés |
Didactical note: probabilistic conditionality in a Boolean algebra. |
Título español |
Nota didáctica: condicionalidad probabilística en un álgebra de Boole. |
Autor/es |
Trillas, Enric ; Alsina, Claudi ; Termini, Settimo |
Organización |
Dep. Intel. Artif. Fac. Inform. Univ. Politéc. Madrid, Madrid, España;Sec. Mat. Esc. Téc. Super. Arquit. Barcelona, Barcelona, España;Dip. Mat. Univ. Palermo, Palermo, Italia |
Revista |
1134-5632 |
Publicación |
1996, 3 (1-2): 149-157, 8 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
This note deals with two logical topics and concerns Boolean Algebras from an elementary point of view. First we consider the class of operations on a Boolean Algebra that can be used for modelling If-then propositions. These operations, or Conditionals, are characterized under the hypothesis that they only obey to the Modus Ponens-Inequality, and it is shown that only six of them are boolean two-place functions. Is the Conditional Probability the Probability of a Conditional? This problem will be only considered, with the Material Conditional Operation, on a Boolean Algebra endowed with a finite probability and in three different cases: with the Internal-Conditional Probability, with the External-Conditional Probability and with both the External-Conditional and the a priori probabilities. It is shown when and how the problem can have some solution. |
Clasificación UNESCO |
110202 ; 120304 ; 110403 |
Palabras clave español |
Lógica difusa ; Probabilidad condicionada ; Información condicional ; Algebras de Boole |
Código MathReviews |
MR1414262 |
Código Z-Math |
Zbl 0862.03038 |
Acceso al artículo completo |