Advances in Fuzzy Systems

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 9

Weight of decision matrix.
 CR1CR2CR3CR4CR5
AL1((0.02, 0.03, 0.03, 0.04; 0.8, 0.8) (0.01, 0.02, 0.02, 0.02; 1, 1)), ((0.02, 0.02, 0.03, 0.03; 0.8, 0.8) (0.01, 0.01, 0.02, 0.02; 1, 1))((0.05, 0.06, 0.08, 0.08; 0.8, 0.8) (0.02, 0.03, 0.04, 0.04; 1, 1)), ((0.06, 0.06, 0.08, 0.08; 0.8, 0.8) (0.03, 0.04, 0.05, 0.05; 1, 1))((0.05, 0.06, 0.07, 0.07; 0.8, 0.8) (0.02, 0.03, 0.04, 0.04; 1, 1)), ((0.03, 0.03, 0.04, 0.04; 0.8, 0.8) (0.02, 0.02, 0.03, 0.03; 1, 1))((0.07, 0.08, 0.09, 0.09; 0.8, 0.8) (0.04, 0.05, 0.06, 0.06; 1, 1)), ((0.02, 0.02, 0.03, 0.03; 0.8, 0.8) (0.01, 0.02, 0.02, 0.02; 1, 1))((0.01, 0.02, 0.02, 0.03; 0.8, 0.8) (0.01, 0.01, 0.02, 0.02; 1, 1)), ((0.01, 0.01, 0.02, 0.02; 0.8, 0.8) (0.01, 0.01, 0.02, 0.02; 1, 1))
AL2((0.01, 0.02, 0.03, 0.03; 0.8, 0.8) (0.01, 0.01, 0.02, 0.02; 1, 1)), ((0.01, 0.02, 0.02, 0.02; 0.8, 0.8) (0.01, 0.01, 0.01, 0.02; 1, 1))((0.05, 0.06, 0.07, 0.07; 0.8, 0.8) (0.02, 0.03, 0.04, 0.04; 1, 1)), ((0.05, 0.06, 0.08, 0.08; 0.8, 0.8) (0.02, 0.03, 0.04, 0.05; 1, 1))((0.04, 0.05, 0.06, 0.07; 0.8, 0.8) (0.02, 0.03, 0.03, 0.04; 1, 1)), ((0.02, 0.03, 0.04, 0.04; 0.8, 0.8) (0.01, 0.02, 0.03, 0.03; 1, 1))((0.05, 0.06, 0.08, 0.08; 0.8, 0.8) (0.02, 0.04, 0.05, 0.05; 1, 1)), ((0.01, 0.02, 0.02, 0.02; 0.8, 0.8) (0.01, 0.01, 0.02, 0.02; 1, 1))((0.02, 0.02, 0.03, 0.03; 0.8, 0.8) (0.01, 0.02, 0.02, 0.02; 1, 1)), ((0.01, 0.01, 0.02, 0.02; 0.8, 0.8) (0.01, 0.01, 0.02, 0.02; 1, 1))
AL3((0.02, 0.02, 0.03, 0.03; 0.8, 0.8) (0.01, 0.02, 0.02, 0.02; 1, 1)), ((0.02, 0.02, 0.03, 0.03; 0.8, 0.8) (0.01, 0.01, 0.02, 0.02; 1, 1))((0.04, 0.05, 0.07, 0.07; 0.8, 0.8) (0.02, 0.03, 0.04, 0.04; 1, 1)), ((0.06, 0.06, 0.08, 0.08; 0.8, 0.8) (0.03, 0.04, 0.05, 0.05; 1, 1))((0.04, 0.05, 0.06, 0.07; 0.8, 0.8) (0.02, 0.03, 0.03, 0.03; 1, 1)), ((0.03, 0.03, 0.04, 0.04; 0.8, 0.8) (0.01, 0.02, 0.03, 0.03; 1, 1))((0.05, 0.06, 0.08, 0.08; 0.8, 0.8) (0.02, 0.04, 0.05, 0.05; 1, 1)), ((0.01, 0.02, 0.02, 0.03; 0.8, 0.8) (0.01, 0.01, 0.01, 0.02; 1, 1))((0.01, 0.02, 0.02, 0.02; 0.8, 0.8) (0.01, 0.01, 0.02, 0.03; 1, 1)), ((0.01, 0.01, 0.01, 0.01; 0.8, 0.8) (0.00, 0.01, 0.01, 0.02; 1, 1))
AL4((0.01, 0.02, 0.02, 0.03; 0.8, 0.8) (0.01, 0.01, 0.01, 0.02; 1, 1)), ((0.00, 0.00, 0.01, 0.01; 0.8, 0.8) (0.00, 0.00, 0.01, 0.01; 1, 1))((0.02, 0.03, 0.04, 0.04; 0.8, 0.8) (0.01, 0.01, 0.02, 0.03; 1, 1)), ((0.05, 0.05, 0.07, 0.08; 0, 8, 0.8) (0.02, 0.03, 0.04, 0.05; 1, 1))((0.01, 0.02, 0.03, 0.03; 0.8, 0.8) (0.00, 0.01, 0.01, 0.02; 1, 1)), ((0.02, 0.02, 0.03, 0.03; 0.8, 0.8) (0.01, 0.01, 0.02, 0.02; 1, 1))((0.07, 0.08, 0.09, 0.09; 0.8, 0.8) (0.04, 0.05, 0.06, 0.06; 1, 1)), ((0.02, 0.02, 0.03, 0.03; 0.8, 0.8) (0.01, 0.02, 0.02, 0.02; 1, 1))((0.01, 0.02, 0.02, 0.03; 0.8, 0.8) (0.01, 0.01, 0.02, 0.02; 1, 1)), ((0.01, 0.01, 0.02, 0.02; 0.8, 0.8) (0.01, 0.01, 0.02, 0.02; 1, 1))
AL5((0.02, 0.03, 0.03, 0.03; 0.8, 0.8) (0.01, 0.02, 0.02, 0.02; 1, 1)), ((0.02, 0.02, 0.03, 0.03; 0.8, 0.8) (0.01, 0.01, 0.02, 0.02; 1, 1))((0.05, 0.06, 0.07, 0.07; 0.8, 0.8) (0.02, 0.03, 0.04, 0.04; 1, 1)), ((0.06, 0.06, 0.08, 0.08; 0.8, 0.8) (0.03, 0.04, 0.04, 0.04; 1, 1))((0.04, 0.05, 0.06, 0.06; 0.8, 0.8) (0.02, 0.03, 0.03, 0.03; 1, 1)), ((0.03, 0.03, 0.04, 0.04; 0.8, 0.8) (0.02, 0.02, 0.03, 0.03; 1, 1))((0.06, 0.07, 0.09, 0.09; 0.8, 0.8) (0.03, 0.04, 0.06, 0.06; 1, 1)), ((0.02, 0.03, 0.03, 0.03; 0.8, 0.8) (0.01, 0.02, 0.02, 0.02; 1, 1))((0.02, 0.02, 0.03, 0.03; 0.8, 0.8) (0.01, 0.02, 0.02, 0.02; 1, 1)), ((0.01, 0.01, 0.02, 0.02; 0.8, 0.8) (0.01, 0.01, 0.02, 0.02; 1, 1))
AL6((0.02, 0.02, 0.03, 0.03; 0, 8, 0.8) (0.01, 0.02, 0.02, 0.02; 1, 1)), ((0.02, 0.02, 0.03, 0.03; 0.8, 0.8) (0.01, 0.01, 0.02, 0.02; 1, 1))((0.05, 0.06, 0.07, 0.07; 0.8, 0.8) (0.02, 0.03, 0.04, 0.04; 1, 1)), ((0.06, 0.06, 0.08, 0.08, 8, 0.8) (0.03, 0.04, 0.05, 0.05; 1, 1))((0.04, 0.05, 0.06, 0.06; 0.8, 0.8) (0.02, 0.03, 0.03, 0.03; 1, 1)), ((0.03, 0.03, 0.04, 0.04; 0.8, 0.8) (0.02, 0.02, 0.03, 0.03; 1, 1))((0.06, 0.07, 0.09, 0.09; 0.8, 0.8) (0.03, 0.04, 0.06, 0.06; 1, 1)), ((0.02, 0.02, 0.03, 0.03; 0.8, 0.8) (0.01, 0.02, 0.02, 0.02; 1, 1))((0.02, 0.03, 0.03, 0.03; 0.8, 0.8) (0.01, 0.02, 0.02, 0.02; 1, 1)), ((0.02, 0.02, 0.02, 0.02; 0.8, 0.8) (0.01, 0.02, 0.02, 0.02; 1, 1))