Probabilistic Hesitant extension of COPRAS
PHF-COPRAS (Probabilistic Hesitant extension of COPRAS) is a ranking multi-criteria decision-making (MCDM) method introduced by Song, H. F. Chen, Z. C. in 2021. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
PHF-COPRAS extends COPRAS to handle Probabilistic Hesitant uncertainty. Criteria are split into beneficial and non-beneficial groups; weighted PHFE sums are computed, defuzzified via E[PHFE]=Σγ_k p_k, and aggregated using the COPRAS utility formula Q_i.
Strengths & limitations
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Sources
- Song, H. F., Chen, Z. C. (2021). Multi-attribute decision-making method based distance and COPRAS method with probabilistic hesitant fuzzy environment. International Journal of Computational Intelligence Systems DOI: 10.2991/ijcis.d.210318.001 ↗
How to cite this page
ScholarGate. (2026, June 2). Probabilistic Hesitant extension of COPRAS. ScholarGate. https://scholargate.app/en/decision-making/phf-copras
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