A new analysis of critical paths in mega projects with interval type-2 fuzzy activities by considering time, cost, risk, quality, and safety factors

Document Type : Original Manuscript


1 Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran

2 Department of Industrial Engineering and Mechanical Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran



Critical path method (CPM) is categorized as a popular tool for scheduling mega projects. In this paper, to enjoy the advantages of interval type-2 fuzzy sets (IT2FSs) and better address uncertainty for the activities’ attributes, a new analysis model is presented to determine the critical path under an IT2F-environment. Also, new efficient factors on specifying critical paths, such as time, cost, risk, safety, and quality (TCRSQ), are presented to achieve a more robust plan assisting in megaproject success. Moreover, an IT2F weighting approach is suggested for specifying the weights of TCRSQ factors. Furthermore, a new IT2F-approach employing the relative preference relation is expressed for identifying the importance of each expert. Consequently, a new model for critical path determination procedure by considering efficient factors is developed under the IT2FSs environment. Finally, to demonstrate the suggested model's capability and the calculation process, an application from the previous research is solved.

Graphical Abstract

A new analysis of critical paths in mega projects with interval type-2 fuzzy activities by considering time, cost, risk, quality, and safety factors


  • IT2FSs are used in critical path analysis of mega projects to better address the uncertainty.
  • A new method to determine each decision maker's weight is introduced by using RPR developed by IT2FSs.
  • A new extension of the analysis model under an IT2F-environment is presented for the critical path analysis.
  • A new development of the entropy method under the IT2F-environment is expressed to specify the weight of several important factors, like TCRSQ.


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