Score Function Defuzzification — Crisp ranking score for IFN/PFN/q-ROFS families
DEFUZZ-SCORE-IFN (Score Function Defuzzification — Crisp ranking score for IFN/PFN/q-ROFS families) is a defuzzification multi-criteria decision-making (MCDM) method introduced by Chen, S.M.; Tan, J.M. in 1994; extended 2014, 2017. 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
Always match score formula to fuzzy type: IFN→μ-ν, PFN→μ²-ν², q-ROFS→μ^q-ν^q. Use accuracy h as tiebreaker. Report both s and h in output table. Use Liu & Wang rescaling to [0,1] when chaining to normalisation-sensitive methods.
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.
- Results depend on the chosen normalisation, weights, and parameter settings.
Common pitfalls
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Sources
- 1.Chen, S.M., Tan, J.M. (1994). Handling multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets and Systems
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Cite this page
ScholarGate. (2026, June 2). DEFUZZ-SCORE-IFN. ScholarGate. https://scholargate.app/decision-making/defuzz-score-ifn