Establishment and Application of a Grey Quality Gain–Loss Function Model

Based on Grey System Theory and the inverted normal quality gain-loss function, the inverted normal grey quality gain-loss function model is put forward. According to the constant compensation and hyperbolic tangent compensation, the grey quality gain-loss function model with nominal-type characteristics, larger-the-better characteristics and smaller-the-better characteristics is built. A multivariate grey quality gain-loss function model with multiple sub quality indexes and the concept of grey quality gain-loss cost are proposed. Case analysis is applied to the quality control of dam concrete construction, which verifies the applicability of the model and provides an important reference for research on the new theory of dam concrete construction quality control.