Soft Computing

, Volume 21, Issue 18, pp 5355–5367 | Cite as

Failure mode and effect analysis using MULTIMOORA method with continuous weighted entropy under interval-valued intuitionistic fuzzy environment

  • Hao Zhao
  • Jian-Xin You
  • Hu-Chen Liu
Methodologies and Application


Failure mode and effect analysis (FMEA) is a prospective risk assessment tool used to identify, assess and eliminate potential failure modes in various industries to improve security and reliability. However, the conventional risk priority number (RPN) method has been widely criticized for the deficiencies in risk factor weights, calculation of RPN, evaluation of failure modes, etc. In this paper, we present a novel approach for FMEA based on interval-valued intuitionistic fuzzy sets (IVIFSs) and MULTIMOORA method to handle the uncertainty and vagueness from FMEA team members’ subjective assessments and to get a more accurate ranking of failure modes identified in FMEA. In this proposed model, interval-valued intuitionistic fuzzy (IVIF) continuous weighted entropy is applied for risk factor weighting and the IVIF-MULTIMOORA method is used to determine the risk priority order of failure modes. Finally, an illustrative case is provided to demonstrate the effectiveness and practicality of the proposed FMEA and a comparison analysis with other relevant methods is conducted to show its merits.


Failure mode and effect analysis MULTIMOORA Continuous weighted entropy Interval-valued intuitionistic fuzzy set 



The authors are very grateful to the editor and the anonymous reviewers for their constructive comments and suggestions that have led to an improved version of this paper. This work was supported by the National Natural Science Foundation of China (No. 71402090), the NSFC key program (No. 71432007) and the Project funded by China Postdoctoral Science Foundation (No. 2015T80456), the Program for Young of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning (No. QD2015019), and the Chen Guang project supported by Shanghai Municipal Education Commission and Shanghai Education Development Foundation.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.School of Economics and ManagementTongji UniversityShanghaiChina
  2. 2.School of ManagementShanghai UniversityShanghaiChina

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