An Extended Prospect Theory for Robot Evaluation and Selection considering Risk Preferences and Interactive Criteria

Table 1

Linguistic terms and their corresponding IT2TrFNs [40].

Linguistic terms	Interval type-2 trapezoid fuzzy number
Very high (VH)	[(0.9, 1, 1, 1; 1); (0.95, 1, 1, 1; 0.9)]
High (H)	[(0.7, 0.9, 0.9, 1; 1); (0.8, 0.9, 0.9, 0.95; 0.9)]
Slightly high (SH)	[(0.5, 0.7, 0.7, 0.9; 1),(0.6, 0.7, 0.7, 0.8; 0.9)]
Medium (M)	[(0.3, 0.5, 0.5, 0.7; 1),(0.4, 0.5, 0.5, 0.6; 0.9)]
Slight low (SL)	[(0.1, 0.3, 0.3, 0.5; 1),(0.2, 0.3, 0.3, 0.4; 0.9)]
Low (L)	[(0, 0.1, 0.1, 0.3; 1),(0.05, 0.1, 0.1, 0.2; 0.9)]
Very low (VL)	[(0, 0, 0, 0.1; 1),(0, 0, 0, 0.05; 0.9)]