Bi-emoticon Pictorial Scale

This example displays bi-emoticon associated with diffferent input elements.

Bi-emoticons can be used to represent imprecise input values. Imprecision is represented by means of a triangular possibility distribution. The triangular possibility distribution is the probability-to-possibility transformation of a uniform probability distribution on the interval defined by the thumb of the slider.

The possibility distribution is used to compute a coverage interval whose level of confidence is related to the lingistic term with the highest level of certainty. The left hand side part and right hand side part of the bi-emoticon are respectively the half parts of the simple emoticons which would have been obtained with the lower and upper bounds of the coverage interval taken as the input.

• Double click on the emoticon to open or close the display of the fuzzy partition. The dashed black line represents the fuzzy input. The dashed blue line represents the coverage interval whose level of confidence is displayed.
• Click on the corners of the right hand side part of the emoticon to display the right hand side emoticon as a full single emoticon.
• Click on the corners of the left hand side part of the emoticon to display the left hand side emoticon as a full single emoticon.
• Click on the emoticon to recover the bi-emoticon.
• Click on the right mouse button and use the mouse scroll button to modify the thumb of the slider.

Bi-emoticon from a range slider input with a triangular possibility distribution associated with the uniform distribution

Bi-emoticon from a range slider input with a possibility distribution associated with the normal distribution

Bi-emoticon from inputs of the middle point and the support or standard deviation

Uniform distribution Normal distribution

Bi-emoticon from a range slider input with reverse color scale and graduality on the eyes opening and eyebrows (pain scale)

Bi-emoticon from a range slider input with a progressive gradient on color and graduality on eyes, eyebrows and mouth opening (fear scale)