Abstract

Abstract By means of infinite product of uniformly distributed probability spaces of cardinal n the concept of pure truth degrees of propositions in the n-valued Godel logic system is introduced in the present paper. Inference rules of pure truth degrees are obtained. Moreover, similarity degrees among formulas are proposed and a pseudo-metric is defined therefrom on the set of formulas, and hence a possible framework suitable for developing approximate reasoning theory in n-valued Godel propositional logic is established.

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