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A generic method for multi-criterion decision-making problems in design for additive manufacturing

机译:添加剂制造设计中多标准决策问题的通用方法

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摘要

In this paper, a generic method based on fuzzy aggregation operator for multi-criterion decision-making problems in design for additive manufacturing is proposed. Firstly, a fuzzy power weighted Maclaurin symmetric mean operator based on Hamacher T-norm and T-conorm is constructed via a combination of fuzzy numbers, power average operator, weights, Maclaurin symmetric mean operator, and operational rules of fuzzy numbers based on Hamacher T-norm and T-conorm. Based on the constructed operator, a generic method for solving the multi-criterion decision-making problems in design for additive manufacturing is then developed. After that, an example of additive manufacturing machine and material selection and an example of optimal build direction selection are introduced to illustrate the developed method. Finally, a set of numerical experiments are reported to demonstrate the effectiveness and capabilities of the method. The demonstration results suggest that the method can effectively solve a multi-criterion decision-making problem in design for additive manufacturing and has the characteristics in considering the interactions of criteria, reducing the effect of noise criterion values, and capturing the risk attitude of decision-makers.
机译:本文提出了一种基于模糊聚合算子的通用方法,用于解决增材制造设计中的多准则决策问题。首先,将模糊数、幂平均算子、权值、麦克劳林对称平均算子以及基于哈马赫T-范数和T-锥的模糊数运算规则结合起来,构造了基于哈马赫T-范数和T-锥的模糊幂加权麦克劳林对称平均算子。基于所构造的算子,提出了一种求解增材制造设计中多准则决策问题的通用方法。然后,通过一个增材制造机器和材料选择的例子以及一个优化制造方向选择的例子来说明所开发的方法。最后,通过一组数值实验验证了该方法的有效性和性能。实证结果表明,该方法能有效地解决加性制造设计中的多准则决策问题,并具有考虑准则间相互作用、降低噪声准则值影响、捕捉决策者风险态度等特点。

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