2010•Journal of Henan Normal UniversityRequires access

Theory of α-Truth Degree in n-valued Product Proposition Logical

WU Hong-bo

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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.

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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.

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Available 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.

Key concepts: Truth value, Truth function, Propositional calculus, Proposition, Logical connective, Product (mathematics), Tautology (logic), Coherence theory of truth

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