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A Novel Decision-Making Approach for Product Design Evaluation Using Improved TOPSIS and GRP Method Under Picture Fuzzy Set

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Abstract

Design concept evaluation plays an important role in product development. However, the complexity and ambiguity of the raw information usually make the assessment imprecise and uncertain. This paper creatively integrates the picture fuzzy set (PFS) into the multi-criteria decision-making (MCDM) process to solve the problem of the evaluation process. Initially, appropriate criteria and sub-criteria are selected from five aspects by consulting current literature and experts. At the same time, the picture fuzzy numbers (PFNs) and the essential operational ideas of the picture fuzzy weighted interaction average (PFWIA) operator are introduced in this study. Then, we employ the entropy of PFS, and the weights of each criterion and the local weights of each sub-criterion are determined. To select the optimal design alternative, we use the absolute positive and negative ideal solution improved technique for order performance by similarity to the ideal solution method (TOPSIS) and the weighted Mahalanobis distance improved grey relational projection (GRP) approach. Finally, a numerical application is given to demonstrate that the proposed method can help solve the product concept design problem.

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Acknowledgements

This work was supported by the High-tech Ship project of China’s Ministry of Industry and Information Technology.

Funding

Funding was provided by High-tech Ship Project of China’s Ministry of Industry and Information Technology (Grant No. MC-201917-C09).

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Authors and Affiliations

  1. Shandong Jiaotong University, Jinan, 264209, China

    Hongyuan Sun, Qing Ma & Zhe Chen

  2. Advanced Manufacturing Technology Center, Shandong University of Science and Technology, Qingdao, 266590, China

    Zhe Chen

  3. School of Minerals and Energy Resources Engineering, University of New South Wales, Sydney, 2052, Australia

    Guangyao Si

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  1. Hongyuan Sun
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  2. Qing Ma
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Correspondence to Zhe Chen.

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Sun, H., Ma, Q., Chen, Z. et al. A Novel Decision-Making Approach for Product Design Evaluation Using Improved TOPSIS and GRP Method Under Picture Fuzzy Set. Int. J. Fuzzy Syst. 25, 1689–1706 (2023). https://doi.org/10.1007/s40815-023-01471-8

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