Intuitionistic Fuzzy Entropy Weight Method (Vlachos-Sergiadis 2007 entropy measure as applied by Hung-Chen 2010)
IF-ENTROPY (Intuitionistic Fuzzy Entropy Weight Method (Vlachos-Sergiadis 2007 entropy measure as applied by Hung-Chen 2010)) is a weight objective multi-criteria decision-making (MCDM) method introduced by Atanassov, K. T. in 1986. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
IF-ENTROPY is an OBJECTIVE weighting method (Family = Weight_Objective): the criterion weights are derived from the information content of the decision matrix itself, not elicited from the DM. Use IF-ENTROPY when the DM cannot or does not wish to provide subjective criterion preferences. The output is a crisp weight vector on the n-simplex, which can then feed any IF ranking method (IF-TOPSIS, IF-MAUT, IF-VIKOR, etc.). The IF entropy formula (Vlachos-Sergiadis 2007) is symmetric under criterion-direction complement, so cost vs benefit criteria do not need pre-processing. Multi-DM aggregation v
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.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Sources
- Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems DOI: 10.1016/S0165-0114(86)80034-3 ↗
How to cite this page
ScholarGate. (2026, June 2). Intuitionistic Fuzzy Entropy Weight Method (Vlachos-Sergiadis 2007 entropy measure as applied by Hung-Chen 2010). ScholarGate. https://scholargate.app/en/decision-making/if-entropy
Which method?
Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.
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