MCDMDecision-makingWeight ObjectiveMath steps

Intuitionistic Fuzzy Entropy Weight Method (Vlachos-Sergiadis 2007 entropy measure as applied by Hung-Chen 2010)

OriginatorAtanassov, K. T.Year1986Sources1Related methods18

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.

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

This section is available to Pro members. Upgrade to Pro

How it works

This section is available to Pro members. Upgrade to Pro

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

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.

Common pitfalls

This section is available to Pro members. Upgrade to Pro

Sources

  1. 1.
    Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems

You have read it. What now?

Cite this page

ScholarGate. (2026, June 2). IF-ENTROPY. ScholarGate. https://scholargate.app/decision-making/if-entropy

IF-ENTROPY | ScholarGate