Type-2 fuzzy sets (T2FSs) are the extension of type-1 fuzzy sets (T1FSs),
which can convey more uncertainty information in solving multi-criteria
decision-making (MCDM) problems. Motivated by the extension from interval
numbers to triangular fuzzy numbers, three-trapezoidal-fuzzy-number-bounded
type-2 fuzzy numbers (TT2FNs) are defined on the basis of interval type-2
trapezoidal fuzzy numbers (IT2TFNs), and they can convey more uncertainty
information than T1FSs and IT2FSs. Moreover, the drawbacks of the existing
computational models of generalized fuzzy numbers are analyzed, and a new
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