Modelling capability-based risk allocation in PPPs using fuzzy integral approach

Khwaja Mateen Mazher, Albert P.C. Chan, Hafiz Zahoor, Ernest Effah Ameyaw, David J. Edwards, Robert Osei-Kyei

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


Appropriate risk allocation and sharing are significant critical success factors for public-private partnership projects, but evidence suggests that poor risk allocation practices prevail. This signifies the need to develop a robust model for assisting stakeholders in risk allocation decision-making. A non-additive fuzzy integral based multiple attribute risk allocation decision approach is proposed to effectively aggregate each stakeholder’s risk management capability assessment on accepted risk allocation principles that are derived from qualitative judgements and experience based knowledge of experts. Data collected from privately financed and developed power and transport infrastructure projects in Pakistan are used to demonstrate and validate the model for key risk factors that exhibit variable risk allocation preferences. Comparison of results with an additive aggregation approach confirms suitability of the adopted methodology as it performs better when modelling risk allocation preferences of experts due to its ability to handle interdependencies in the risk allocation criteria. Apparently, the allocation and sharing of key risks is significantly influenced by market, sector and project contexts.

Original languageEnglish
Pages (from-to)777-788
Number of pages12
JournalCanadian Journal of Civil Engineering
Issue number9
Publication statusPublished - 2019
Externally publishedYes


  • Decision-making model
  • Fuzzy integral
  • Fuzzy set theory
  • Infrastructure public-private partnerships
  • Risk allocation

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • General Environmental Science


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