Shandong Jiaotong University, Jinan, China.
PLoS One. 2023 Nov 27;18(11):e0294596. doi: 10.1371/journal.pone.0294596. eCollection 2023.
The assessment of design concepts presents an efficient and effective strategy for businesses to strengthen their competitive edge and introduce market-worthy products. The widely accepted viewpoint acknowledges this as a intricate multi-criteria decision-making (MCDM) approach, involving a multitude of evaluative criteria and a significant amount of data that is frequently ambiguously defined and subjectively influenced. In order to tackle the problems of uncertainty and fuzziness in design concept evaluation, our research creatively combines interval-valued picture fuzzy set (IVPFS) with an MCDM process of design concept evaluation. Firstly, this study draws on the existing relevant literature and the experience of decision makers to identify some important criteria and corresponding sub-criteria and form a scientific evaluation indicator system. We then introduce the essential operational concepts of interval-valued picture fuzzy numbers (IVPFNs) and the interval-valued picture fuzzy ordered weighted interactive averaging (IVPFOWIA) operator. Thirdly, an entropy weighting method based on IVPFS is proposed in this research to calculate the weights of criteria and sub-criteria, and based on this, an integrated IVPF decision matrix is further constructed based on the presented IVPFOWIA operator. Finally, the best design concept alternative is selected by applying the extended TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution) approach with IVPFS. The IVPFS combined with improved MCDM method have been proven to be superior in complex and uncertain decision-making situations through experiments and comparative assessments. The information ambiguity in the evaluation of design concept is well characterized by our augmentation based on IVPFS.
设计概念评估为企业提供了一种高效、有效的策略，可增强其竞争优势并推出有市场价值的产品。这一被广泛认可的观点将其视为一种复杂的多准则决策（MCDM）方法，涉及众多评估标准和大量数据，这些数据通常定义不明确且受到主观影响。为了解决设计概念评估中的不确定性和模糊性问题，我们的研究创新性地将区间值图像模糊集（IVPFS）与设计概念评估的 MCDM 过程相结合。首先，本研究借鉴现有相关文献和决策者的经验，确定了一些重要的标准及其相应的子标准，形成了科学的评估指标体系。然后，我们引入了区间值图像模糊数（IVPFN）和区间值图像模糊有序加权交互式平均（IVPFOWIA）算子的基本运算概念。第三，本研究提出了一种基于 IVPFS 的熵权法来计算标准和子标准的权重，并在此基础上，进一步基于提出的 IVPFOWIA 算子构建了一个集成的 IVPF 决策矩阵。最后，通过应用基于 IVPFS 的扩展 TOPSIS（逼近理想解的排序技术）方法，选择最佳的设计概念备选方案。通过实验和比较评估，证明了 IVPFS 与改进的 MCDM 方法相结合在复杂和不确定的决策情况下具有优越性。我们基于 IVPFS 的扩展很好地描述了设计概念评估中的信息模糊性。
