On the structure of intuitionistic algebras with relational probabilities.

Francesc Esteva

Stochastica (1988)

  • Volume: 12, Issue: 2-3, page 103-111
  • ISSN: 0210-7821

Abstract

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Trillas ([1]) has defined a relational probability on an intuitionistic algebra and has given its basic properties. The main results of this paper are two. The first one says that a relational probability on a intuitionistic algebra defines a congruence such that the quotient is a Boolean algebra. The second one shows that relational probabilities are, in most cases, extensions of conditional probabilities on Boolean algebras.

How to cite

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Esteva, Francesc. "On the structure of intuitionistic algebras with relational probabilities.." Stochastica 12.2-3 (1988): 103-111. <http://eudml.org/doc/38992>.

@article{Esteva1988,
abstract = {Trillas ([1]) has defined a relational probability on an intuitionistic algebra and has given its basic properties. The main results of this paper are two. The first one says that a relational probability on a intuitionistic algebra defines a congruence such that the quotient is a Boolean algebra. The second one shows that relational probabilities are, in most cases, extensions of conditional probabilities on Boolean algebras.},
author = {Esteva, Francesc},
journal = {Stochastica},
keywords = {Medidas en retículos; Algebra cociente; Algebras de Boole; Probabilidades; Probabilidad condicionada; relational probability; intuitionistic algebra; conditional probabilities on Boolean algebras},
language = {eng},
number = {2-3},
pages = {103-111},
title = {On the structure of intuitionistic algebras with relational probabilities.},
url = {http://eudml.org/doc/38992},
volume = {12},
year = {1988},
}

TY - JOUR
AU - Esteva, Francesc
TI - On the structure of intuitionistic algebras with relational probabilities.
JO - Stochastica
PY - 1988
VL - 12
IS - 2-3
SP - 103
EP - 111
AB - Trillas ([1]) has defined a relational probability on an intuitionistic algebra and has given its basic properties. The main results of this paper are two. The first one says that a relational probability on a intuitionistic algebra defines a congruence such that the quotient is a Boolean algebra. The second one shows that relational probabilities are, in most cases, extensions of conditional probabilities on Boolean algebras.
LA - eng
KW - Medidas en retículos; Algebra cociente; Algebras de Boole; Probabilidades; Probabilidad condicionada; relational probability; intuitionistic algebra; conditional probabilities on Boolean algebras
UR - http://eudml.org/doc/38992
ER -

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