Table 5 Emotional Expressions and Action Unit Combinations for Linguistic and QSFNs

Contempt (Disdain)

7,10,14,15

(7,10),(7,14),(7,15),

(10,14),(10,15),(14,15)

No influence (n)

Weakest (w)

\(\left[\begin{array}{c}\sqrt{0.16}{e}^{j2\pi .0.4},\\ \sqrt{0.10}{e}^{j2\pi .0.25},\\ \sqrt{0.74}{e}^{j2\pi .0.35}\end{array}\right]\)

Intermediate Emotion

1 AU of Contempt + 1 AU of Surprise

(7,1),(7,2),(7,5),

(7,27), (10,1),(10,2),

(10,5),(10,27),(14,1),

(14,2),(14,5),(14,27), (15,1),(15,2),(15,5),

(15,27)

somewhat influence (s)

Poor (p)

\(\left[\begin{array}{c}\sqrt{0.20}{e}^{j2\pi .0.45},\\ \sqrt{0.13}{e}^{j2\pi .0.28},\\ \sqrt{0.67}{e}^{j2\pi .0.27}\end{array}\right]\)

Surprise

1,2,5,27

1 AU of Contempt + 1 AU of Happy

(1,2),(1,5),(1,27),

(2,5),(2,27),(5,27)

(7,6),(7,12),(7,25),

(7,26), (10,6),(10,12),

(10,25),(10,26),(14,6),

(14,12),(14,25),(14,26),(15,6),

(15,12),(15,25),(15,26)

medium influence (m)

Fair (f)

\(\left[\begin{array}{c}\sqrt{0.25}{e}^{j2\pi .0.50},\\ \sqrt{0.15}{e}^{j2\pi .0.31},\\ \sqrt{0.60}{e}^{j2\pi .0.19}\end{array}\right]\)

Intermediate Emotion

1 AU of Surprise + 1 AU of Happy

(1,6),(1,12),(1,25),

(1,26),(2,6),(2,12),

(2,25),(2,26),(5,6),

(5,12),(5,25),(5,26),

(27,6),(27,12),(27,25),

(27,26)

high influence (h)

Good (g)

\(\left[\begin{array}{c}\sqrt{0.30}{e}^{j2\pi .0.55},\\ \sqrt{0.19}{e}^{j2\pi .0.34},\\ \sqrt{0.51}{e}^{j2\pi .0.11}\end{array}\right]\)

Happiness

6,12,25,26

(6,12),(6,25),(6,26),

(12,25),(12,26),(25,26)

very high influence (vh)

Best (b)

\(\left[\begin{array}{c}\sqrt{0.36}{e}^{j2\pi .0.6},\\ \sqrt{0.22}{e}^{j2\pi .0.37},\\ \sqrt{0.42}{e}^{j2\pi .0.03}\end{array}\right]\)