| Content: In this paper, the truth degree of fuzzy propositional logicformulas was measured by probability measure and consequently theirproperties were systematically studied.Firstly, theα-truth degree onclosed interval[0, 1] was studied andα(?)tautology on it was defined.Thenthe relation betweenα(?)-tautology andα-tautology, and the rela-tion betweenα(?)tautology andα-truth degree were discussed. Theα-similarity degree and pseudo-distance of formulas were defined onthe basis of the foregoing content. These could offer an frame for theapproximate reasoning of fuzzy propositional logic formula. Given thattwo-dimensional logic could manage incomparable message. Proper-ties ofα-truth degree of interval valued fuzzy propositional logic werealso studied in this paper. The probabilityα-truth degree in this pa-per is the generalization of integral truth degree which was defined byprofessor Wang Guojun. |
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