Truth degree theory of propositions in Godel 3-valued logic system in the space of unevenly distributed probability
Jun Li
Abstract
Jun Li
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.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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