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 5

The IT2 fuzzy entropy.
 CR1CR2CR3CR4CR5
AL1((0.27; 0.8, 0.8) (0.32; 1, 1)), ((0.45; 0.8, 0.8) (0.41; 1, 1))((0.20; 0.8, 0.8) (0.26; 1, 1)), ((0.27; 0.8, 0.8) (0.32; 1, 1))((0.20; 0.8, 0.8) (0.26; 1, 1)), ((0.27; 0.8, 0.8) (0.32; 1, 1))((0.20; 0.8, 0.8) (0.26; 1, 1)), ((0.35; 0.8, 0.8) (0.38; 1, 1))((0.53; 0.8, 0.8) (0.45; 1, 1)), ((0.58; 0.8, 0.8) (0.49; 1, 1))
AL2((0.57; 0.8, 0.8) (0.48; 1, 1)), ((0.59; 0.8, 0.8) (0.51; 1, 1))((0.27; 0.8, 0.8) (0.32; 1, 1)), ((0.35; 0.8, 0.8) (0.38; 1, 1))((0.27; 0.8, 0.8) (0.32; 1, 1)), ((0.45; 0.8, 0.8) (0.41; 1, 1))((0.45; 0.8, 0.8) (0.41; 1, 1)), ((0.58; 0.8, 0.8) (0.49; 1, 1))((0.59; 0.8, 0.8) (0.49; 1, 1)), ((0.57; 0.8, 0.8) (0.44; 1, 1))
AL3((0.36; 0.8, 0.8) (0.39; 1, 1)), ((0.45; 0.8, 0.8) (0.41; 1, 1))((0.36; 0.8, 0.8) (0.39; 1, 1)), ((0.27; 0.8, 0.8) (0.32; 1, 1))((0.36; 0.8, 0.8) (0.39; 1, 1)), ((0.27; 0.8, 0.8) (0.32; 1, 1))((0.45; 0.8, 0.8) (0.41; 1, 1)), ((0.58; 0.8, 0.8) (0.49; 1, 1))((0.59; 0.8, 0.8) (0.49; 1, 1)), ((0.57; 0.8, 0.8) (0.44; 1, 1))
AL4((0.56; 0.8, 0.8) (0.44; 1, 1)), ((0.36; 0.8, 0.8) (0.39; 1, 1))((0.60; 0.8, 0.8) (0.51; 1, 1)), ((0.45; 0.8, 0.8) (0.40; 1, 1))((0.46; 0.8, 0.8) (0.44; 1, 1)), ((0.57; 0.8, 0.8) (0.46; 1, 1))((0.20; 0.8, 0.8) (0.26; 1, 1)), ((0.35; 0.8, 0.8) (0.38; 1, 1))((0.52; 0.8, 0.8) (0.44; 1, 1)), ((0.58; 0.8, 0.8) (0.49; 1, 1))
AL5((0.31; 0.8, 0.8) (0.36; 1, 1)), ((0.31; 0.8, 0.8) (0.36; 1, 1))((0.31; 0.8, 0.8) (0.36; 1, 1)), ((0.31; 0.8, 0.8) (0.36; 1, 1))((0.36; 0.8, 0.8) (0.39; 1, 1)), ((0.36; 0.8, 0.8) (0.39; 1, 1))((0.27; 0.8, 0.8) (0.32; 1, 1)), ((0.27; 0.8, 0.8) (0.32; 1, 1))((0.35; 0.8, 0.8) (0.38; 1, 1)), ((0.35; 0.8, 0.8) (0.38; 1, 1))
AL6((0.36; 0.8, 0.8) (0.39; 1, 1)), ((0.36; 0.8, 0.8) (0.39; 1, 1))((0.27; 0.8, 0.8) (0.32; 1, 1)), ((0.27; 0.8, 0.8) (0.32; 1, 1))((0.36; 0.8, 0.8) (0.39; 1, 1)), ((0.36; 0.8, 0.8) (0.39; 1, 1))((0.27; 0.8, 0.8) (0.32, 1, 1)), ((0.36; 0.8, 0.8) (0.39; 1, 1))((0.20; 0.8, 0.8) (0.26; 1, 1)), ((0.20; 0.8, 0.8) (0.26; 1, 1))