When the fuzzy set theory is applied to serviceability diagnosis of structures, the problem of the estimation of a membership function which translates a subjective information related to diagnosis into a mathematical model is often pointed out.In this paper, an attempt is made to formulate the membership function using a function with various parameters for evaluation of the subjective uncertainty on the diagnosis. And a process of serviceability diagnosis of structures based on such a membership function in the fuzzy set theory is discussed in detail. In order to make a quantitative comparison between the results by the present method and those by the previous one, several numerical examples are made.