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Home›Decision-making›HF-MaxScore-Portfolio — Hesitant Fuzzy Maximum-Score Portfolio Selection (Zhou-Xu 2018)
MCDMPortfoliohesitant

HF-MaxScore-Portfolio — Hesitant Fuzzy Maximum-Score Portfolio Selection (Zhou-Xu 2018)

HF-MAXSCORE-PORT (HF-MaxScore-Portfolio — Hesitant Fuzzy Maximum-Score Portfolio Selection (Zhou-Xu 2018)) is a portfolio multi-criteria decision-making (MCDM) method introduced by Zhou, W. Xu, Z. in 2018. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

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HF-MAXSCORE-PORT
HF-TRADEOFF-PORT

When to use it

HF-MaxScore-Portfolio is suitable for general investors who want maximum expected return without an explicit risk constraint. It replaces the need for historical return/variance data with subjective HFE evaluations from domain experts. The output is not a ranking but an investment proportion vector — a higher w_i means more capital allocated to stock i.

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
  • Assumes full compensation — a strong score on one criterion can offset a weak score on another.

Sources

  1. Zhou, W., Xu, Z. (2018). Portfolio selection and risk investment under the hesitant fuzzy environment. Knowledge-Based Systems DOI: 10.1016/j.knosys.2017.12.020 ↗

How to cite this page

ScholarGate. (2026, June 2). HF-MaxScore-Portfolio — Hesitant Fuzzy Maximum-Score Portfolio Selection (Zhou-Xu 2018). ScholarGate. https://scholargate.app/en/decision-making/hf-maxscore-port

Referenced by

HF-TRADEOFF-PORT

Similar methods

HF-TRADEOFF-PORTHF-QUALIFLEXHF-VIKORPHFS-HVARHF-TODIMHF-TOPSISPHFS-EHVARHFEA

Related reference concepts

Decision Support SystemsDecision MakingWeighted ScoresPortfolio Choice • Investment DecisionsGeneral Financial MarketsCriteria for Decision-Making under Risk and Uncertainty

Spotted an issue on this page? Report or suggest a fix →

ScholarGate — HF-MAXSCORE-PORT (HF-MaxScore-Portfolio — Hesitant Fuzzy Maximum-Score Portfolio Selection (Zhou-Xu 2018)). Retrieved 2026-07-21 from https://scholargate.app/en/decision-making/hf-maxscore-port · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Zhou, W. Xu, Z.
Subfamily
Portfolio
Year
2018
Type
Hesitant fuzzy portfolio selection model for general investors. Maximises the aggregated score s(⊗ i w i h i) of the hesitant fuzzy portfolio, where ⊗ i w i h i is the HFE-power-weighted combination of per-stock aggregated HFEs. Output is optimal investment weight vector W = (w 1,...,w n) summing to 1. Equivalent to the hesitant fuzzy version of Markowitz's maximum-return portfolio (no risk constraint).
Value Space
hesitant
Uncertainty
epistemic
Compensation
full
Rank Reversal
No
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