Consequence Operators and Information Algebras

Authors

  • Ge-Ni Xu College of Statistics, Xi’an University of Finance and Economics, Xi’an, 710062
  • Qing-Jun Luo College of Statistics, Xi’an University of Finance and Economics, Xi’an, 710062

DOI:

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

Keywords:

information algebra, consequence operator, continuity, compactness

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. 

Published

2019-12-16

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Section

Articles

How to Cite

Consequence Operators and Information Algebras. (2019). Communications in Mathematical Research, 35(2), 106-114. https://doi.org/10.13447/j.1674-5647.2019.02.02