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Dual Hesitant Fuzzy extension of VIKOR

OriginatorAn, J., Zhang, X., Liu, L., Zuo, W.Year2025Sources1Related methods8

DHF-VIKOR (Dual Hesitant Fuzzy extension of VIKOR) is a ranking multi-criteria decision-making (MCDM) method introduced by An, J., Zhang, X., Liu, L., Zuo, W. in 2025. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

Key highlights

  • 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.

Intuition

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How it works

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When to use it

DHF-VIKOR (An et al. 2025) is a MAGDM extension of VIKOR for K decision-makers with incomplete attribute weights. The pipeline (i) λ-aggregates per-DM DHFE judgements (Eq.17), (ii) sets direction-aware DHF PIS/NIS, (iii) computes hybrid DHF Minkowski distances (Eqs.7–9), (iv) solves a bi-objective programme (Eq.16) to derive a comprehensive subjective+objective weight vector ω̄ via trade-off α, (v) computes S_i, R_i, Q_i and ranks DESCENDING in Q_i (the highest Q_i is best — An et al.'s explicit convention; this inverts classical Opricovic–Tzeng VIKOR). Two tunables control the answer: α (subj

Strengths & limitations

Strengths
  • 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.
Limitations
  • May exhibit rank reversal when alternatives are added to or removed from the set.
  • Assumes full compensation — a strong score on one criterion can offset a weak score on another.

Common pitfalls

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Sources

  1. 1.
    An, J., Zhang, X., Liu, L., Zuo, W. (2025). A dual hesitation fuzzy VIKOR method with incomplete attribute weights for property service quality evaluation. International Journal of Strategic Property Management
    DOI 10.3846/ijspm.2025.24035

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ScholarGate. (2026, June 2). DHF-VIKOR. ScholarGate. https://scholargate.app/decision-making/dhf-vikor

Dual Hesitant Fuzzy extension of VIKOR | ScholarGate