Cost management is an important part of enterprise management and can enhance the competitiveness of enterprises and improve the sustainability of enterprise development. Responsibility management can maximize the enthusiasm and initiative of employees and effectively improves the efficiency of cost management. Quantitative responsibility is the premise of realizing responsibility management. Aiming at the problem of unclear responsibility for costs within the enterprise, a method for responsible quantification based on intuitionistic trapezoidal fuzzy numbers and genetic algorithms is proposed in this paper. This paper first expounds on a cost management structure model, uses the method of intuitionistic fuzzy mathematics to determine the initial value of the responsibility based the structure model, then constructs the quantitative model for the coefficient of responsibility, and finally uses a specific enterprise as an example of quantitative calculations to solve the responsibility problem.
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