Metric Boolean Algebras and an Application to Propositional Logic
Keywords:
Boolean algebra, probability measure, size, similarity degree, approximate reasoning, propositional logic
Abstract
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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How to Cite
Dr. Li FU, & Dr. Li FU. (2011). Metric Boolean Algebras and an Application to Propositional Logic. Global Journal of Science Frontier Research, 11(5), 1–4. Retrieved from https://journalofscience.org/index.php/GJSFR/article/view/258
Published
2011-03-15
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Copyright (c) 2011 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.