Metric Boolean Algebras and an Application to Propositional Logic

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Dr. Li FU
Dr. Li FU
2
GuoJun Wang
GuoJun Wang
1 QingHai Nationalities University

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GJSFR Volume 11 Issue 5

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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.

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No external funding was declared for this work.

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The authors declare no conflict of interest.

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Dr. Li FU. 1970. \u201cMetric Boolean Algebras and an Application to Propositional Logic\u201d. Unknown Journal GJSFR Volume 11 (GJSFR Volume 11 Issue 5): .

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July 11, 2011

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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.

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Metric Boolean Algebras and an Application to Propositional Logic

Dr. Li FU
Dr. Li FU QingHai Nationalities University
GuoJun Wang
GuoJun Wang

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