Journal of Optimization Theory and Applications

, Volume 159, Issue 2, pp 518–535 | Cite as

A Fuzzy Principal Component Analysis Approach to Hierarchical Evaluation Model for Balanced Supply Chain Scorecard Grading

  • Sidong Xian
  • Dong Qiu
  • Shiyun Zhang


Effective performance management is critical to efficient supply chain management systems with the balanced scorecard as well as to effective evaluation models and their algorithms. Problems often encountered in the modeling of the balanced scorecard for supply chain are how to overcome the multicollinearity in its index system. In this paper, a new fuzzy hierarchical evaluation model featuring the criteria of the balanced supply chain scorecard is proposed and analyzed on the basis of data about Chinese firms. The model, based on the fuzzy weight’s matrix derived from a fuzzy principal component analysis, overcomes the multicollinearity in the index system of the balanced supply chain scorecard. This method proves good performance in determining the weight distribution matrix of the fuzzy hierarchical evaluation and improves the evaluation accuracy and generalization as shown for a group of firms in western China.


Fuzzy principal component analysis Fuzzy hierarchical evaluation model Multicollinearity Performance management Balance scorecard 



This work was supported by the National Natural Science Foundation of China (Grant No. 11201512), the Science and Technology Research Program of Chongqing Municipal Educational Committee (Grant No. KJ120515) and National Science Foundation of Chongqing Province (Grant No. cstc2012jjA00001).

The authors express their gratitude to the Associate Editor and the anonymous Reviewers for their valuable and constructive comments.


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.College of Mathematics and PhysicsChongqing University of Posts and TelecommunicationsChongqingP.R. China
  2. 2.School of Economics and ManagementChongqing University of Posts and TelecommunicationsChongqingP.R. China

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