Asymmetric Hesitant Fuzzy Sigmoid Preference Relations (Zhou-Xu 2016)
AHSPR (Asymmetric Hesitant Fuzzy Sigmoid Preference Relations (Zhou-Xu 2016)) is a preference relations multi-criteria decision-making (MCDM) method introduced by Zhou, W. Xu, Z. in 2016. 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
AHSPR is suitable when investors cannot provide a numeric evaluation matrix but can compare alternatives pairwise using natural preference language. The ASNS translates risk appetite (conservative/neutral/aggressive) into different sigmoid curves, producing different rankings from the same pairwise input. Risk-averse investors (h2 >> h1) amplify non-preference differences; risk-seekers (h1 >> h2) amplify preferences.
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.
- May exhibit rank reversal when alternatives are added to or removed from the set.
Common pitfalls
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Sources
- 1.Zhou, W., Xu, Z. (2016). Asymmetric hesitant fuzzy sigmoid preference relations in the analytic hierarchy process. Information Sciences
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ScholarGate. (2026, June 2). AHSPR. ScholarGate. https://scholargate.app/decision-making/ahspr