2009•Journal of Lanzhou University of TechnologyRequires access

Truth degree theory of propositions in Godel 3-valued logic system in the space of unevenly distributed probability

Jun Li

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Abstract

Using the infinite product of unevenly distributed probability space with potential of 3,the concept of formula truth degree was introduced into the Godel 3-valued propositional logic system.Moreover,it was proved that in the 3-valued14,12,14measure the set of truth degree of propositions was dense in ,and a general expression of truth degree was obtained,providing a basis for further developing approximate reasoning of 3-valued propositional logic system.

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What this paper is about

Using the infinite product of unevenly distributed probability space with potential of 3,the concept of formula truth degree was introduced into the Godel 3-valued propositional logic system.Moreover,it was proved that in the 3-valued14,12,14measure the set of truth degree of propositions was dense in ,and a general expression of truth degree was obtained,providing a basis for further developing approximate reasoning of 3-valued propositional logic system.

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Available abstract

Using the infinite product of unevenly distributed probability space with potential of 3,the concept of formula truth degree was introduced into the Godel 3-valued propositional logic system.Moreover,it was proved that in the 3-valued14,12,14measure the set of truth degree of propositions was dense in ,and a general expression of truth degree was obtained,providing a basis for further developing approximate reasoning of 3-valued propositional logic system.

Key concepts: Truth function, Propositional calculus, Degree (music), Propositional variable, Mathematics, Gödel, Autoepistemic logic, Well-formed formula

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