Theory of α-Truth Degree in n-valued Product Proposition Logical
WU Hong-bo
Abstract
WU Hong-bo
Abstract
This paper intrduces conccept of α-truth degrees of propositions in n-value product logical system by using the infinite product of evenly distibuted probability space,general reference rules endowed with truth degrees are obtained.Moreover,a pseudo-metric on the set of propositions is definfed by means of the conccept of truth degree of propositons and this make it possible to develop approximate reasoning in n-valued propositional logic.
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.
This paper intrduces conccept of α-truth degrees of propositions in n-value product logical system by using the infinite product of evenly distibuted probability space,general reference rules endowed with truth degrees are obtained.Moreover,a pseudo-metric on the set of propositions is definfed by means of the conccept of truth degree of propositons and this make it possible to develop approximate reasoning in n-valued propositional logic.
Key concepts: Truth value, Truth function, Propositional calculus, Proposition, Logical connective, Product (mathematics), Tautology (logic), Coherence theory of truth