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

Yuanyuan Liu, Yulin Han, Jian Zhou, Yizeng Chen, Shuya Zhong

Research output: Contribution to journalArticlepeer-review

6 Citations (SciVal)


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.

Original languageEnglish
Pages (from-to)5603-5615
Number of pages13
JournalSoft Computing
Issue number17
Publication statusPublished - 21 Mar 2017

Bibliographical note

Funding Information:
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).

Publisher Copyright:
© 2017, Springer-Verlag Berlin Heidelberg.


  • Asymmetric triangular fuzzy number
  • Fuzzy linear regression
  • Optimized h value
  • Quality function deployment
  • Relationship matrix

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Geometry and Topology


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