基于模糊可能性测量理论零件的合格测量

Measurement of Qualified Parts Based on Fuzzy Measurement Theory

在考虑零件样本不足的情况下,根据可能性理论,将零件尺寸视为模糊变量,给出了表征它的模糊约束和模糊可能性分布函数。基于模糊可能性测量理论,分析了当零件的尺寸公差带为清晰区间(普通集)和模糊允许区间(模糊集)时,测量零件合格与不合格的模糊可能性测量方法。提出了测量零件合格模糊可能性测量、零件可修复不合格模糊可能性测量和和零件不可修复不合格模糊可能性测量的计算公式,并给出了零件合格模糊可能性测量的变化规律。最后进行了实例计算。

Under the condition of lack of parts samples, according to possibility theory, the dimensions of parts is taken as a fuzzy variable, and the fuzzy restriction and fuzzy possibility distribution function for expressing the dimension of parts is given. Based on the fuzzy possibility measurement theory, the fuzzy mathematical approach to measure qualified parts and non-qualified parts are analyzed when the tolerance of the dimensions of parts is considered as crisp allowable interval and fuzzy allowable interval. Then the formulas to calculate the fuzzy possibility measurement of qualified parts, non-qualification reparable parts and non-qualification non-reparable parts are proposed, and the changing regularities of the fuzzy possibility measurement of qualified parts are given out. Finally, the calculation of example is carried out.