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Establishing the relationship matrix in QFD based on fuzzy regression models with optimized h values

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Abstract

In quality function deployment (QFD), establishing the relationship matrix is quite an important step to transform ambiguous and qualitative customer requirements into concrete and quantitative technical characteristics. Owing to the inherent imprecision and fuzziness of the matrix, the fuzzy linear regression (FLR) is gradually applied into QFD to establish it. However, with regard to an FLR model, the h value is a critical parameter whose setting is always an aporia and it is commonly determined by decision makers. To a certain extent, this subjective assignment fades the effectiveness of FLR in the application of QFD. Aiming to this problem, FLR models with optimized parameters h obtained by maximizing system credibility are introduced into QFD in this paper, in which relationship coefficients are assumed as asymmetric triangular fuzzy numbers. Moreover, a systematic approach is developed to identify the relationship matrix in QFD, whose application is demonstrated through a packing machine example. The final results show that FLR models with optimized h values can always achieve a more reliable relationship matrix. Besides, a comparative study on symmetric and asymmetric cases is elaborated detailedly.

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Acknowledgements

The authors would like to acknowledge the gracious support of this work by “Shuguang Program” from Shanghai Education Development Foundation and Shanghai Municipal Education Commission (Grant No. 15SG36).

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Authors and Affiliations

  1. Logistics Institute-Asia Pacific, National University of Singapore, Singapore, 119613, Singapore

    Yuanyuan Liu & Shuya Zhong

  2. School of Management, Shanghai University, Shanghai, 200444, China

    Yulin Han & Jian Zhou

  3. School of Management, Shenzhen Polytechnic, Shenzhen, 518055, China

    Yizeng Chen

Authors
  1. Yuanyuan Liu
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  2. Yulin Han
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  3. Jian Zhou
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  4. Yizeng Chen
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  5. Shuya Zhong
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Correspondence to Jian Zhou.

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All authors declare that they have no conflict of interest.

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Communicated by Y. Ni.

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Liu, Y., Han, Y., Zhou, J. et al. Establishing the relationship matrix in QFD based on fuzzy regression models with optimized h values. Soft Comput 22, 5603–5615 (2018). https://doi.org/10.1007/s00500-017-2533-7

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