Geodesic
Standard and nonstandard representability of positive uncertainty orderings
Kybernetika, Tome 50 (2014) no. 2, pp. 189-215

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Axioms are given for positive comparative probabilities and plausibilities defined either on Boolean algebras or on arbitrary sets of events. These axioms allow to characterize binary relations representable by either standard or nonstandard measures (i. e. taking values either on the real field or on a hyperreal field). We also study relations between conditional events induced by preferences on conditional acts.
DOI : 10.14736/kyb-2014-2-0189
Classification : 06A06, 60A05, 60E15, 62C10, 91B08
Keywords: comparative probability; comparative plausibilities; hyperreal field; representability by nonstandard measures 
@article{10_14736_kyb_2014_2_0189,
     author = {Capotorti, Andrea and Coletti, Giulianella and Vantaggi, Barbara},
     title = {Standard and nonstandard representability of positive uncertainty orderings},
     journal = {Kybernetika},
     pages = {189--215},
     publisher = {mathdoc},
     volume = {50},
     number = {2},
     year = {2014},
     doi = {10.14736/kyb-2014-2-0189},
     mrnumber = {3216990},
     zbl = {1302.60010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-2-0189/}
}
TY  - JOUR
AU  - Capotorti, Andrea
AU  - Coletti, Giulianella
AU  - Vantaggi, Barbara
TI  - Standard and nonstandard representability of positive uncertainty orderings
JO  - Kybernetika
PY  - 2014
SP  - 189
EP  - 215
VL  - 50
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-2-0189/
DO  - 10.14736/kyb-2014-2-0189
LA  - en
ID  - 10_14736_kyb_2014_2_0189
ER  - 
%0 Journal Article
%A Capotorti, Andrea
%A Coletti, Giulianella
%A Vantaggi, Barbara
%T Standard and nonstandard representability of positive uncertainty orderings
%J Kybernetika
%D 2014
%P 189-215
%V 50
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-2-0189/
%R 10.14736/kyb-2014-2-0189
%G en
%F 10_14736_kyb_2014_2_0189
Capotorti, Andrea; Coletti, Giulianella; Vantaggi, Barbara. Standard and nonstandard representability of positive uncertainty orderings. Kybernetika, Tome 50 (2014) no. 2, pp. 189-215. doi: 10.14736/kyb-2014-2-0189

Cité par Sources :