Guidelines
Suggest edit

Make less certain point symbols fuzzier

For ordinal uncertainty reading on discrete point-symbol displays, use fuzziness on the symbol mark to improve readability and mitigate reversed certain-to-uncertain interpretation in simple non-interactive displays.

  • purpose:refine
  • basis:empirical
  • data:ordinal
  • operator:uncertainty
  • lever:encoding
  • quality:readability

advice

Use fuzziness as the uncertainty channel

Encode lower certainty by reducing symbol crispness. For example, make the least certain point symbol the fuzziest and the most certain point symbol the crispest in a three-step ordinal scale.

reason

Why fuzziness works for ordinal uncertainty

Fuzziness gives readers a direct visual cue that the mark is less definite. That makes the certain-to-uncertain order easier to apprehend than more arbitrary point-symbol changes.

Mechanism: A crisp-to-fuzzy progression maps directly onto a certainty progression, so readers can identify symbol order with little interpretation.

Evidence: In the general uncertainty series, fuzziness received the strongest intuitiveness judgments among tested visual variables, and only one direction was intuitive: more fuzzy meant less certain. In the grouped map-like task, fuzziness also supported high aggregate-uncertainty assessment performance comparable to the other top general symbol tested (MacEachren et al., 2012).

context

Use when point symbols carry ordinal uncertainty

  • User Goal: Show which individual items are more or less certain.
  • Task: Read or compare ordinal uncertainty levels attached to discrete items.
  • Data: Uncertainty is expressed as ordered levels rather than exact probabilities.
  • Chart Setting: Simple, non-interactive displays that use point symbols for individual records.
  • Audience: Readers interpreting map-like or information displays with discrete marks.
  • Success Criterion: Readers quickly read the certain-to-uncertain order without confusion.

exceptions

Do not use when the study conditions no longer hold

Break it when: The uncertainty is not shown with discrete point symbols or is not expressed as an ordinal scale. Why: The evidence was limited to three-step point-symbol sets and does not establish the same result for other mark types or other uncertainty forms.

costs

Know the tradeoff of fuzziness

Sacrifice: You get an ordered cue, not a richer explanation of uncertainty type. Risk: Reversing the direction makes the scale feel illogical. Mitigation: Keep the most degraded symbol at the least certain end.

mistakes

Avoid the common direction error

Mistake: Making the more certain symbol fuzzier than the less certain symbol. Why it fails: The tested direction that read logically was the opposite: more fuzzy meant less certain.

check

Check the fuzzy ordering before release

Failure Sign: Reviewers hesitate about which fuzzy symbol is more certain. Quick Check: Show the three-symbol set without explanation and ask which symbol is least certain. Stronger Test: Compare the intended order against a reversed crispness order and confirm the intended order is judged more logical.

fix

Fix the fuzzy uncertainty scale

  • Make the least certain symbol visibly fuzzier than the others.
  • Keep the most certain symbol crisp and visually stable across the scale.
  • If your current fuzzy order is reversed, swap the order rather than adding more legend text.

References

MacEachren, A. M., Roth, R. E., O’Brien, J., Li, B., Swingley, D., & Gahegan, M. (2012). Visual Semiotics & Uncertainty Visualization: An Empirical Study. IEEE Transactions on Visualization and Computer Graphics, 18(12), 2496–2505. https://doi.org/10.1109/TVCG.2012.279