Research Article

An Extended Interval Type-2 Fuzzy VIKOR Technique with Equitable Linguistic Scales and Z-Numbers for Solving Water Security Problems in Malaysia

Table 1

Linguistic scale of restriction for the extended IT2FVIKOR.

Linguistic termsLinguistic scale

Very Poor (VP)((−1.0, −0.9, −0.8, −0.7; 0.8, 0.8), (−1.0, −1.0, −0.8, −0.6; 1, 1))
Poor (P)((−0.8, −0.7, −0.5, −0.4; 0.8, 0.8), (−0.9, −0.7, −0.5, −0.3; 1, 1))
Medium Poor (MP)((−0.5, −0.4, −0.2, −0.1; 0.8, 0.8), (−0.6, −0.4, −0.2, 0; 1, 1))
Medium (M)((−0.2, −0.1, 0.1, 0.2; 0.8, 0.8), (−0.3, −0.2, 0.2, 0.3; 1, 1))
Medium Good (MG)((0.1, 0.2, 0.4, 0.5; 0.8, 0.8), (0, 0.2, 0.4, 0.6; 1, 1))
Good (G)((0.4, 0.5, 0.7, 0.8; 0.8, 0.8), (0.3, 0.5, 0.7, 0.9; 1, 1))
Very Good (VG)((0.7, 0.8, 1.0, 1.0; 0.8, 0.8), (0.6, 0.8, 1.0, 1.0; 1, 1))