基于公理设计的产品设计决策多阶段异构信息融合研究

IF 2.3 4区 社会学 Q1 SOCIAL SCIENCES, INTERDISCIPLINARY Systems Pub Date : 2024-06-20 DOI:10.3390/systems12060222
Yanpu Yang, Qiyuan Zuo, Kai Zhang, Xinran Li, Wenfeng Yu, Lijing Ji
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引用次数: 0

摘要

产品设计过程充满了不确定性,其要求和限制条件也不明确,通常要经历多个阶段,每个阶段都强调不同的设计方面。这就造成了决策标准的不一致性,使得有效整合产品设计决策(PDDM)各阶段的信息成为确定最佳设计方案的关键任务。令人吃惊的是,针对如何整合产品设计决策(PDDM)多个阶段的异构信息这一难题的研究却十分有限。为了弥补这一不足,我们的研究采用了实数、区间数和语言术语来捕捉决策者的异构判断。我们融合了最大化偏差法和层次分析法(AHP)来确定指标权重,而决策者的权重则是通过使用模糊熵的不确定性度量和应用于 PDDM 矩阵以实现一致性的距离最小化模型的双重考虑得出的。利用公理设计的优势,根据 PDDM 矩阵的 PDDM 信息含量对产品设计备选方案进行评估。鉴于产品设计的多阶段性,各阶段的权重通过评估各阶段 PDDM 矩阵的信息含量和一致性程度来计算。最终,我们的方法通过信息公理加权实现了产品设计中的多阶段异构决策融合。一项涉及特定数控机床设计决策过程的案例研究说明了我们的方法在整合多阶段异构 PDDM 数据方面的功效,并得出了产品设计方案可行性的综合视角。结果表明,在 PDDM 的第 2 和第 3 阶段,产品设计方案的排名顺序巩固为 x3 > x2 > x1,与第 1 阶段观察到的初始顺序(x2 > x3 > x1)不同,而多阶段异构 PDDM 分析的融合结果与后几个阶段的排名一致,表明可信度和说服力得到了加强。因此,这种方法为综合和驾驭多阶段异质 PDDM 中固有的不确定性和复杂性提供了一个稳健的框架。
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Research on Multistage Heterogeneous Information Fusion of Product Design Decision-Making Based on Axiomatic Design
The product design process, fraught with uncertainties and ambiguities in its requirements and constraints, commonly traverses multiple stages, each emphasizing distinct design aspects. This engenders heterogeneity in decision-making criteria, rendering the effective integration of information from various stages of product design decision-making (PDDM) a pivotal task in identifying the optimal design solution. Surprisingly, limited research has attended to the challenge of consolidating such heterogeneous information across multiple PDDM stages. To bridge this gap, our study employs real numbers, interval numbers, and linguistic terms to capture the heterogeneous judgments of decision-makers. We fuse the Maximization Deviation Method with the analytic hierarchy process (AHP) for determining indicators’ weights, while decision-makers’ weights are derived through a dual consideration of uncertainty measure using fuzzy entropy and a distance-minimization model applied to the PDDM matrix for achieving consistency. Leveraging the advantage of axiomatic design, product design alternatives are evaluated based on their PDDM information content of PDDM matrices. Given the multistage nature of product design, stages’ weights are computed by assessing the information content and consistency degree of PDDM matrices at each stage. Ultimately, our approach achieves multistage heterogeneous decision-making fusion in product design through information axiom weighting. A case study involving the decision-making process for a specific numerical control machine design illustrates the efficacy of our method in integrating multistage heterogeneous PDDM data, yielding a comprehensive perspective on the viability of product design schemes. Results show that the ranking sequence of the product design schemes solidifies to x3 > x2 > x1 in stages 2 and 3 of PDDM, diverging from the initial order observed in stage 1 (x2 > x3 > x1), while the fused result from the multistage heterogeneous PDDM analysis aligns with the later stages’ rankings, indicating the credibility and persuasiveness are fortified. This methodology thus offers a robust framework for synthesizing and navigating the uncertainties and complexities inherent in multistage heterogeneous PDDM contexts.
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来源期刊
Systems
Systems Decision Sciences-Information Systems and Management
CiteScore
2.80
自引率
15.80%
发文量
204
审稿时长
11 weeks
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