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Taking sub-assembly recognition problem as the research object and combining with the mathematical model of sub-assembly recognition algorithm, this paper analyzes the similarity and corresponding mapping between the objective function problem of sub-assembly recognition and the game problem. The object function of sub-assembly recognition is transformed into the benefit of game participants, and the parameter variable is transformed into game strategy space. The steps of game analysis for sub-assembly recognition algorithm are systematically planned, and the fuzzy clustering mathematical model of sub-assembly based on game theory is given. It is beneficial to the determination of each parameter of the target function of sub-assembly recognition algorithm, and can reduce the influence of parameter weight on the result of the algorithm. It has practical engineering application significance. Keywords-Mathematical Model; Objective Function; Game Analysis

A Fuzzy Clustering Mathematical Model for Sub-assemblies Based on Game Theory