MCDMDecision-makingRankingMath steps

Hesitant Fuzzy Multi-Objective Optimization by Ratio Analysis

OriginatorLi, Z.-H.Year2014Sources1

HF-MOORA (Hesitant Fuzzy Multi-Objective Optimization by Ratio Analysis) is a ranking multi-criteria decision-making (MCDM) method introduced by Li, Z.-H. in 2014. 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

HF-MOORA ranks alternatives based on performance scores. Higher score = better rank.

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.

Sources

  1. 1.
    Li, Z.-H. (2014). An Extension of the MULTIMOORA Method for Multiple Criteria Group Decision Making Based upon Hesitant Fuzzy Sets. Journal of Applied Mathematics

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Cite this page

ScholarGate. (2026, June 2). HF-MOORA. ScholarGate. https://scholargate.app/decision-making/hf-moora

Hesitant Fuzzy Multi-Objective Optimization by Ratio Analysis