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针对基于模糊积分的多准则决策方法在实际应用中的两个主要问题,从决策方案的等价值曲线角度分析了决策准则间交互性的直观表述和决策意义,提出了一种基于菱形成对比较法确定2-可加模糊测度的新方法,并在理论上证明了该方法的正确性.进而,基于所得2-可加模糊测度,利用Choquet模糊积分对各候选方案的评价信息进行集成,给出了一种多准则决策方法.最后,实例分析结果验证了该方法的操作简易性和合理性.
Aiming at the two main problems in the practical application of multi-criteria decision-making method based on fuzzy integral, this paper analyzes the intuitive expression and decision-making meaning of the interaction between decision-making criteria from the perspective of the equal value of the decision-making scheme. Method is used to determine the new method of 2-additive fuzzy measure, and the correctness of the method is proved in theory.Furthermore, based on the obtained 2-additive fuzzy measure, Choquet fuzzy integral is used to integrate the evaluation information of each candidate, A multi-criteria decision-making method is proposed.Finally, the results of case analysis verify the simplicity and rationality of this method.