To solve the complex control problems of multiple key quality characteristics of NC machine tools

based on meta-action theory and two-dimensional House of Quality(HOQ)

a three-dimensional House of Quality (THOQ) model with the influencing factors dimension

the meta-action units dimension and the key quality characteristics dimension was established. The action layer factors affecting the key quality characteristics were screened by Ant Colony Clustering Algorithm

and combined with Evidence Reasoning Recursive Theory(ERRT)

the autocorrelation matrix of the factors

the correlation matrix between the key quality characteristics and the influencing factors of each meta action unit and performance coupling matrix of meta-action units were established. Based on quality control cost constraint and development time constraint

an optimization model with key quality characteristics fluctuation degree as objective function was established

and the optimal value of the influencing factors were obtained

so that the fluctuation value of the key quality characteristics was minimized. Finally

an example was given to optimize the indexing table motion of a NC machine tool

and the rationality and validity of the model were verified by experiments.