Yu, Peng; Shi, Shengnan The properties of metric Boolean algebras and their application to approximate reasoning in \(F(S)\). (Chinese. English summary) Zbl 1199.03052 J. Ningxia Univ., Nat. Sci. Ed. 29, No. 2, 97-100 (2008). Summary: The properties of metric Boolean algebras are discussed. The distance between an element and a filter of a metric Boolean algebra is given, and the distance between different filter is also given. As an application, the distance between a formula and a \(\varGamma\)-conclusion set and the different \(\varGamma\)-conclusion set of a logical metric space \( (F (S),\rho)\) is described. MSC: 03G05 Logical aspects of Boolean algebras 03G25 Other algebras related to logic 68T37 Reasoning under uncertainty in the context of artificial intelligence Keywords:metric Boolean algebra; approximate reasoning; filter; logical metric space PDFBibTeX XMLCite \textit{P. Yu} and \textit{S. Shi}, J. Ningxia Univ., Nat. Sci. Ed. 29, No. 2, 97--100 (2008; Zbl 1199.03052)