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Volume 35, Issue 2
Consequence Operators and Information Algebras

Ge-Ni Xu & Qing-Jun Luo

DOI: 10.13447/j.1674-5647.2019.02.02

Commun. Math. Res., 35 (2019), pp. 106-114.

Published online: 2019-12

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  • 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. 

  • Keywords

information algebra, consequence operator, continuity, compactness

  • AMS Subject Headings

16Y60, 94A15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

geniwork@163.com (Ge-Ni Xu)

  • BibTex
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  • TXT
@Article{CMR-35-106, author = {Xu , Ge-Ni and Luo , Qing-Jun}, title = {Consequence Operators and Information Algebras}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {2}, pages = {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. 

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.02.02}, url = {http://global-sci.org/intro/article_detail/cmr/13481.html} }
TY - JOUR T1 - Consequence Operators and Information Algebras AU - Xu , Ge-Ni AU - Luo , Qing-Jun JO - Communications in Mathematical Research VL - 2 SP - 106 EP - 114 PY - 2019 DA - 2019/12 SN - 35 DO - http://doi.org/10.13447/j.1674-5647.2019.02.02 UR - https://global-sci.org/intro/article_detail/cmr/13481.html KW - information algebra, consequence operator, continuity, compactness AB -

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. 

Xu , Ge-Ni and Luo , Qing-Jun. (2019). Consequence Operators and Information Algebras. Communications in Mathematical Research . 35 (2). 106-114. doi:10.13447/j.1674-5647.2019.02.02
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