Relational probabilities on intuitionistic lattices.

Enric Trillas

Stochastica (1988)

  • Volume: 12, Issue: 2-3, page 85-102
  • ISSN: 0210-7821

Abstract

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In this paper we present and develop, only elementarily, an axiomatic frame for some special fuzzy relations, the so called relational probabilities, which happen to be families of functions which in some cases are quantic probabilities [1] on sublattices of a given lattice; in this way we obtain calculations similar to the ordinary ones but based on a weaker lattice background. This framework is inspired on the presentation of conditional probability on Boolean algebras made in [5] and in [4] and improves further steps given in [6].

How to cite

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Trillas, Enric. "Relational probabilities on intuitionistic lattices.." Stochastica 12.2-3 (1988): 85-102. <http://eudml.org/doc/38991>.

@article{Trillas1988,
abstract = {In this paper we present and develop, only elementarily, an axiomatic frame for some special fuzzy relations, the so called relational probabilities, which happen to be families of functions which in some cases are quantic probabilities [1] on sublattices of a given lattice; in this way we obtain calculations similar to the ordinary ones but based on a weaker lattice background. This framework is inspired on the presentation of conditional probability on Boolean algebras made in [5] and in [4] and improves further steps given in [6].},
author = {Trillas, Enric},
journal = {Stochastica},
keywords = {Medidas en retículos; Algebras de Boole; Probabilidades; Estudio comparativo; intuitionistic lattice; non-boolean algebra; conditional probability},
language = {eng},
number = {2-3},
pages = {85-102},
title = {Relational probabilities on intuitionistic lattices.},
url = {http://eudml.org/doc/38991},
volume = {12},
year = {1988},
}

TY - JOUR
AU - Trillas, Enric
TI - Relational probabilities on intuitionistic lattices.
JO - Stochastica
PY - 1988
VL - 12
IS - 2-3
SP - 85
EP - 102
AB - In this paper we present and develop, only elementarily, an axiomatic frame for some special fuzzy relations, the so called relational probabilities, which happen to be families of functions which in some cases are quantic probabilities [1] on sublattices of a given lattice; in this way we obtain calculations similar to the ordinary ones but based on a weaker lattice background. This framework is inspired on the presentation of conditional probability on Boolean algebras made in [5] and in [4] and improves further steps given in [6].
LA - eng
KW - Medidas en retículos; Algebras de Boole; Probabilidades; Estudio comparativo; intuitionistic lattice; non-boolean algebra; conditional probability
UR - http://eudml.org/doc/38991
ER -

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