Research Article

An Approach for Achieving Consistency for Symmetric Trapezoidal Interval Type-2 Fuzzy Sets

Table 1

Linguistic terms and their corresponding trapezoidal IT2 FSs.

Linguistic Terms Corresponding Trapezoidal IT2 FSs

Very Low ((0, 0, 0, 0.1; 1, 1), (0, 0, 0, 0.05; 0.9, 0.9))
Low ((0, 0.1, 0.1, 0.3; 1, 1), (0.05, 0.1, 0.1, 0.2; 0.9, 0.9))
Medium Low ((0.1, 0.3, 0.3, 0.5; 1, 1), (0.2, 0.3, 0.3, 0.4; 0.9, 0.9))
Medium ((0.3, 0.5, 0.5, 0.7; 1, 1), (0.4, 0.5, 0.5, 0.6; 0.9, 0.9))
Medium High ((0.5, 0.7, 0.7, 0.9; 1, 1), (0.6, 0.7, 0.7, 0.8; 0.9, 0.9))
High ((0.7, 0.9, 0.9, 1; 1, 1), (0.8, 0.9, 0.9, 0.95; 0.9, 0.9))
Very High ((0.9, 1, 1, 1; 1, 1), (0.95, 1, 1, 1; 0.9, 0.9))