global-journal-of-science-frontier-research Global Journal of Science Frontier Research 0975-5896 2249-4626 Global Journals Publishing Group Incorporated 73375 Metric Boolean Algebras and an Application to Propositional Logic FUDr. Li CHINA, QingHai Nationalities University 18 07 2011 11 5 1 4

Let B be a Boolean algebra and Ω be the set of all homomorphisms from B into D, and μ be a probability measure on Ω . We introduce the concepts of sizes of elements of B and similarity degrees of pairs of elements of B by means of μ , and then define a metric on B . As an application, we propose a kind of approximate reasoning theory for propositional logic.

 Boolean algebra probability measure size similarity degree approximate reasoning propositional logic Full Text

Let B be a Boolean algebra and Ω be the set of all homomorphisms from B into D, and μ be a probability measure on Ω . We introduce the concepts of sizes of elements of B and similarity degrees of pairs of elements of B by means of μ , and then define a metric on B . As an application, we propose a kind of approximate reasoning theory for propositional logic.