灰色函数的连续性质

给出了灰数的四则运算及灰函数的定义，并给出的灰函数的白化方法．白化函数是实函数，实函数的分析性质如连续性、可微性是非常明确的，因此，用白化函数来刻划灰函数的性质，就使灰函数像实函数一样，具有明确的经典分析性质，为灰函数的分析及应用提供了切实可行的方法．由此，更进一步证明了灰函数是实函数的扩展．

Continuous Property of Grey Function

Some definitions of four fundamental operations of grey number and grey function are given in this paper, also we have given the whiting method of grey function. Whiting function is real function, the analysis propertis of real function such as continuous and differential propertis are clear and definite, so that, use whiting function to depict the property of grey function, the grey function may has the same property as real function's. We obtain the further result that grey function is expanding of real function.