2011•Journal of Hebei Normal UniversityRequires access

Note of Randomization of 3-valued Propositional Logic

Weibing Zuo

Abstract

By introducing random mapping and truth degree weight function,the definition of equivalence of the randomized truth degree of formula in 3-valued propositional logic is obtained.The inference rule based on randomized truth degree are given and continuity of logical operations on randomized logic metric spaces are studied.Another way for approximate reasoning in the logic system is provided.

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Key concepts: Truth function, Propositional calculus, Well-formed formula, Tautology (logic), Propositional variable, Mathematics, Intuitionistic logic, Logical connective