Advances in Civil Engineering

Research Article

Ranking Sustainable Projects through an Innovative Hybrid DEMATEL-VIKOR Decision-Making Approach Using Z-Number

Table 48

Normalized scoring matrix.


	E1	E2	E3	E4	S1	S2	S3	S4	G1	G2	G3	G4

P1	(0.037, 0.525, 0.762)	(−0.392, 0.06, 0.5)	(0.065, 0.445, 0.668)	(0, 0.468, 0.765)	(−0.222, 0, 0.332)	(0.082, 0.555, 0.777)	(−0.422, 0.02, 0.5)	(−0.287, 0.2, 0.5)	(0.592, 1, 1)	(−0.297, 0.186, 0.5)	(0.527, 1, 1)	(−0.047, 0.437, 0.749)
P2	(0.305, 0.777, 1)	(−0.202, 0.202, 0.595)	(−0.158, 0.223, 0.445)	(0.5, 0.937, 1)	(0.283, 0.697, 1)	(0.037, 0.525, 0.762)	(−0.312, 0.102, 0.555)	(0.18, 0.595, 0.822)	(−0.158, 0, 0.223)	(−0.297, 0.186, 0.5)	(−0.223, 0, 0.223)	(0.5, 0.937, 1)
P3	(−0.02, 0.23, 0.422)	(0.277, 0.644, 1)	(0.197, 0.533, 0.71)	(−0.107, 0.126, 0.392)	(−0.042, 0.357, 0.645)	(−0.02, 0.422, 0.615)	(0.133, 0.547, 1)	(0.358, 0.772, 1)	(−0.158, 0.193, 0.385)	(0.04, 0.274, 0.502)	(−0.223, 0.193, 0.385)	(−0.234, 0.234, 0.532)
P4	(−0.2, 0.287, 0.525)	(0.14, 0.576, 1)	(0.287, 0.668, 0.89)	(0, 0.468, 0.765)	(0.418, 0.89, 1)	(−0.25, 0.25, 0.5)	(−0.135, 0.295, 0.762)	(−0.037, 0.45, 0.75)	(−0.158, 0.223, 0.445)	(−0.234, 0.234, 0.532)	(0.015, 0.475, 0.713)	(−0.297, 0.186, 0.5)
P5	(0.037, 0.525, 0.762)	(0.111, 0.479, 0.834)	(−0.158, 0, 0.158)	(0.095, 0.532, 0.797)	(0.353, 0.732, 1)	(0.512, 1, 1)	(−0.132, 0.237, 0.645)	(−0.287, 0.2, 0.5)	(−0.158, 0.193, 0.385)	(−0.047, 0.437, 0.749)	(−0.223, 0.193, 0.385)	(0.468, 0.937, 1)
P6	(0.04, 0.29, 0.467)	(−0.202, 0, 0.392)	(0.287, 0.668, 0.89)	(0.453, 0.937, 1)	(0.135, 0.535, 0.822)	(−0.02, 0.422, 0.615)	(0.223, 0.592, 1)	(−0.237, 0.237, 0.525)	(0.197, 0.533, 0.71)	(0.329, 0.749, 1)	(0.252, 0.713, 0.95)	(0.095, 0.532, 0.797)
P7	(0.557, 1, 1)	(0, 0.405, 0.797)	(0.342, 0.75, 1)	(−0.047, 0.437, 0.749)	(0, 0.445, 0.777)	(0.365, 0.807, 1)	(0.193, 0.577, 1)	(−0.287, 0.2, 0.5)	(−0.158, 0, 0.158)	(0.205, 0.605, 0.834)	(−0.223, 0.193, 0.385)	(0.329, 0.749, 1)
P8	(−0.14, 0.332, 0.555)	(−0.392, 0.06, 0.5)	(0.592, 1, 1)	(−0.234, 0, 0.297)	(−0.332, 0.14, 0.5)	(−0.2, 0.287, 0.525)	(−0.372, 0.057, 0.525)	(−0.237, 0, 0.287)	(0.317, 0.713, 0.95)	(−0.297, 0.186, 0.5)	(0.252, 0.713, 0.95)	(−0.234, 0.234, 0.532)
P9	(0.217, 0.645, 0.822)	(−0.095, 0.342, 0.765)	(0.227, 0.578, 0.77)	(−0.297, 0.186, 0.5)	(0, 0.445, 0.777)	(0.12, 0.527, 0.685)	(−0.192, 0.192, 0.615)	(0.083, 0.477, 0.685)	(0.317, 0.713, 0.95)	(−0.234, 0, 0.297)	(0.25, 0.63, 0.63)	(0.04, 0.439, 0.668)
P10	(0.037, 0.525, 0.762)	(0.345, 0.811, 1)	(0.092, 0.5, 0.75)	(0, 0.468, 0.765)	(0.223, 0.667, 1)	(0.082, 0.555, 0.777)	(−0.172, 0.27, 0.75)	(0.238, 0.712, 1)	(0.092, 0.5, 0.75)	(0.235, 0.702, 1)	(−0.223, 0, 0.238)	(0.453, 0.937, 1)
P11	(−0.2, 0.05, 0.287)	(0.082, 0.547, 1)	(0.287, 0.668, 0.89)	(0.203, 0.686, 1)	(−0.042, 0.18, 0.467)	(0.395, 0.822, 1)	(−0.135, 0.295, 0.762)	(0.268, 0.727, 1)	(0.227, 0.578, 0.77)	(−0.107, 0.328, 0.595)	(−0.045, 0.355, 0.533)	(0.177, 0.674, 1)
P12	(0.217, 0.645, 0.822)	(0.14, 0.576, 1)	(0.065, 0.445, 0.668)	(0, 0.468, 0.765)	(−0.102, 0.312, 0.615)	(0.305, 0.777, 1)	(−0.312, 0.102, 0.555)	(0.045, 0.505, 0.777)	(−0.158, 0.223, 0.445)	(0.235, 0.702, 1)	(0.222, 0.668, 0.89)	(0.095, 0.532, 0.797)
P13	(0.527, 1, 1)	(0.421, 0.811, 1)	(0.227, 0.578, 0.77)	(0.203, 0.686, 1)	(−0.222, 0.222, 0.555)	(0.557, 1, 1)	(0.103, 0.532, 1)	(0.045, 0.505, 0.777)	(−0.158, 0, 0.223)	(−0.107, 0.328, 0.595)	(−0.223, 0.193, 0.385)	(−0.044, 0.376, 0.626)
P14	(0.082, 0.555, 0.777)	(0.047, 0.437, 0.813)	(0.342, 0.75, 1)	(0, 0.468, 0.765)	(−0.222, 0.222, 0.555)	(0.275, 0.762, 1)	(0.328, 0.77, 1)	(0.213, 0.7, 1)	(−0.158, 0, 0.178)	(0, 0.468, 0.765)	(0.162, 0.578, 0.77)	(0.095, 0.532, 0.797)
P15	(0.037, 0.525, 0.762)	(0.345, 0.811, 1)	(0.092, 0.5, 0.75)	(0.468, 0.937, 1)	(0.193, 0.652, 1)	(−0.25, 0.25, 0.5)	(0.133, 0.547, 1)	(−0.237, 0, 0.287)	(0.287, 0.668, 0.89)	(0.235, 0.702, 1)	(−0.223, 0.223, 0.445)	(−0.234, 0, 0.297)
P16	(−0.14, 0.332, 0.555)	(−0.142, 0.311, 0.749)	(0.317, 0.713, 0.95)	(0.095, 0.532, 0.797)	(0.038, 0.417, 0.685)	(0.217, 0.645, 0.822)	(−0.192, 0, 0.422)	(0, 0.475, 0.762)	(0.092, 0.5, 0.75)	(−0.044, 0.189, 0.439)	(−0.03, 0.385, 0.578)	(0.142, 0.563, 0.813)
P17	(0.365, 0.807, 1)	(−0.202, 0.202, 0.595)	(−0.158, 0.178, 0.355)	(0.142, 0.563, 0.813)	(−0.282, 0.177, 0.525)	(0.037, 0.525, 0.762)	(0, 0.385, 0.807)	(0.238, 0.712, 1)	(0.317, 0.713, 0.95)	(0.298, 0.734, 1)	(−0.045, 0.355, 0.533)	(0.329, 0.749, 1)
P18	(0, 0.5, 0.75)	(−0.392, 0.06, 0.5)	(0.555, 0.95, 0.95)	(−0.044, 0.376, 0.626)	(0.038, 0.417, 0.685)	(0, 0.5, 0.75)	(0.078, 0.52, 1)	(0.18, 0.595, 0.822)	(−0.158, 0.193, 0.385)	(−0.234, 0.234, 0.532)	(−0.065, 0.315, 0.473)	(−0.044, 0.376, 0.626)
P19	(0.172, 0.615, 0.807)	(0.421, 0.811, 1)	(−0.158, 0, 0.178)	(−0.297, 0.186, 0.5)	(0.168, 0.64, 1)	(0.217, 0.645, 0.822)	(−0.192, 0.192, 0.615)	(0.328, 0.757, 1)	(0.317, 0.713, 0.95)	(0.468, 0.937, 1)	(0.015, 0.475, 0.713)	(0.203, 0.686, 1)
P20	(−0.25, 0, 0.25)	(0.345, 0.811, 1)	(0.287, 0.668, 0.89)	(0, 0.468, 0.765)	(−0.222, 0.222, 0.555)	(−0.25, 0, 0.25)	(−0.09, 0.325, 0.777)	(−0.237, 0.237, 0.525)	(−0.158, 0, 0.238)	(0.203, 0.686, 1)	(0, 0.445, 0.668)	(−0.086, 0.411, 0.737)