Consequence Operators and Information Algebras

Consequence Operators and Information Algebras

Year:    2019

Author:    Ge-Ni Xu, Qing-Jun Luo

Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 106–114

Abstract

In this paper, the continuity of consequence operators is introduced. Relations between consequence operators and their associated information algebras are mainly explored. It is shown that, for any given consequence operator, the associated information algebra can be directly constructed without any additional conditions. Furthermore, if the consequence operators are continous or compact, then the associated information algebras are continuous or compact. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2019.02.02

Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 106–114

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    information algebra consequence operator continuity compactness

Author Details

Ge-Ni Xu

Qing-Jun Luo