Decision matrix weight sensitivity calculator

Calculate pairwise crossover shares in requested range and best option at sampled shares with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use pairwise crossover shares in requested range and best option at sampled shares to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Base relative criterion weights
1,1
Criterion directions
benefit,benefit
Options: name, score for each criterion
A,8,4 B,6,8
Criterion to vary, starting at 1
1
Minimum varied weight share
0
Maximum varied weight share
1
Equally spaced sample weights
3
Pairwise crossover shares in requested range
A/B: 0.666666666667
Best option(s) at sampled shares
0: B; 0.5: B; 1: A
Option scores at minimum and maximum shares
A: 4, 8; B: 8, 6

Try another scenario

Base relative criterion weights
1,1
Criterion directions
benefit,benefit
Options: name, score for each criterion
A,8,4 B,6,8
Criterion to vary, starting at 1
1
Minimum varied weight share
0.8
Maximum varied weight share
1
Equally spaced sample weights
3
Pairwise crossover shares in requested range
None
Best option(s) at sampled shares
0.8: A; 0.9: A; 1: A
Option scores at minimum and maximum shares
A: 7.2, 8; B: 6.4, 6
Calculation method

Calculation method

Pairwise crossover shares in requested range

Let α be the varied share. Keep other criteria proportional to their base weights. Solve each option-pair affine score difference for zero and retain crossovers in the inclusive range.

Best option(s) at sampled shares

Evaluate α at the requested equally spaced points; exact ties remain visible.

Option scores at minimum and maximum shares

Evaluate each option at the two range endpoints.

Symbols and units
a
Base relative criterion weights
b
Criterion directions
c
Options: name, score for each criterion
d
Criterion to vary, starting at 1
e
Minimum varied weight share
f
Maximum varied weight share
g
Equally spaced sample weights

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • A one-criterion sensitivity sweep under fixed scores and proportional remaining weights. Pairwise crossovers need not change the overall winner. It does not infer preferred weights or score uncertainty.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

UK Government Analysis Function: MCDA and sensitivity ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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