MCDMDecision-makingT-normMath steps
Frank T-norm — Frank family of associative t-norms and t-conorms
TNORM-FRANK (Frank T-norm — Frank family of associative t-norms and t-conorms) is a t-norm multi-criteria decision-making (MCDM) method introduced by Frank, M.J. in 1979. 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
Choose s based on desired compensation: s≈1 (product) → moderate; s→∞ (Łukasiewicz) → bounded; s→0 (min) → non-compensatory. In IFN MCDM: report results for s=1,2,5 to assess sensitivity.
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
- Results depend on the chosen normalisation, weights, and parameter settings.
Common pitfalls
This section is available to Pro members. Upgrade to Pro
Sources
- 1.Frank, M.J. (1979). On the simultaneous associativity of F(x,y) and x+y-F(x,y). Aequationes Mathematicae
You have read it. What now?
Cite this page
ScholarGate. (2026, June 2). TNORM-FRANK. ScholarGate. https://scholargate.app/decision-making/tnorm-frank