This paper proposes the conception of α-stochastic truth degrees in Godel n -valued prepositional logic and offers illustration of some of its quality.The conception of α-D~n similarity degree between formulas according to the α-stochastic truth degrees is followed. Morever,a pseudometric on the set of formulas is defined.%给出了G(o)del,n值命题逻辑中公式的α-随机真度的概念,研究了其性质,利用α-随机真度定义了公式间的α-D~n相似度,进而导出全体公式集上的一种伪距离.
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