Mathematical Problems in Engineering

Research Article

An Evaluation Model of Quantitative and Qualitative Fuzzy Multi-Criteria Decision-Making Approach for Location Selection of Transshipment Ports

Table 5

The NFR and GMIR values of three alternatives versus all subcriteria.
SubcriteriaX Y Z
NFRGMIRNFRGMIRNFRGMIR
(0.1, 0.233, 0.433)0.244(0.733, 0.933, 1)0.911(0, 0.133, 0.333)0.144
(0.2, 0.267, 0.467)0.289(0.733, 0.933, 1)0.911(0, 0, 0.2)0.033
(0.375, 0.625, 1)0.646(0.375, 0.625, 1)0.646(0.375, 0.625, 1)0.646
(0.567, 0.767, 0.9)0.756(0.667, 0.867, 1)0.856(0.267, 0.467, 0.6)0.456
(0.906, 0.945, 1)0.948(0.829, 0.887, 0.935)0.885(0.853, 0.967, 0.906)0.938
(0.915, 0.951, 0.972)0.949(0.940, 0.948, 0.956)0.948(0.911, 0.962, 1)0.960
(0.899, 0.935, 0.986)0.938(0.910, 0.941, 0.959)0.939(0.947, 0.973, 1)0.973
(0.981, 0.981, 0.981)0.981(1, 1, 1)1(0.942, 0.942, 0.942)0.942
(0.769, 0.817, 0.870)0.818(0.80, 0.842, 0.870)0.840(0.870, 0.932, 1)0.933
(0.583, 0.709, 0.875)0.716(0.778, 0.853, 1)0.865(0.636, 0.701, 0.778)0.703
(0.873, 0.916, 0.945)0.914(0.789, 0.837, 0.862)0.833(0.932, 0.960, 1)0.962
(0.948, 0.961, 0.978)0.962(0.784, 0.820, 0.837)0.817(0.976, 0.984, 1)0.985
(0.954, 0.985, 1)0.982(0.810, 0.846, 0.872)0.844(0.657, 0.718, 0.768)0.716
(0.584, 0.834, 1)0.820(0.584, 0.834, 1)0.820(0.584, 0.834, 1)0.820
(0.4, 0.6, 0.8)0.60(0.733, 0.933, 1)0.911(0, 0.067, 0.267)0.089
(0.429, 0.714, 1)0.714(0.429, 0.714, 1)0.714(0.286, 0.476, 0.761)0.492
(0.143, 0.333, 0.619)0.349(0.524, 0.810, 1)0.794(0, 0.190, 0.476)0.206
(0.567, 0.767, 0.9)0.756(0.667, 0.867, 1)0.856(0.367, 0.5, 0.633)0.50
(0.567, 0.767, 0.9)0.756(0.733, 0.933, 1)0.911(0.1, 0.233, 0.433)0.244
(0.158, 0.264, 0.580)0.299(0.580, 0.790, 1)0.790(0, 0.210, 0.526)0.228
(0.143, 0.333, 0.619)0.349(0.429, 0.714, 1)0.714(0, 0.096, 0.381)0.128
(0.519, 0.741, 0.889)0.729(0.519, 0.741, 0.889)0.883(0.630, 0.852, 1)0.840
(0, 0.166, 0.416)0.180(0.584, 0.834, 1)0.820(0, 0.166, 0.416)0.180
(0.584, 0.834, 1)0.820(0, 0.166, 0.416)0.180(0.584, 0.834, 1)0.820
(0, 0.166, 0.416)0.180(0.584, 0.834, 1)0.820(0.584, 0.834, 1)0.820
(0.25, 0.416, 0.666)0.430(0.584, 0.834, 1)0.820(0.25, 0.416, 0.666)0.430
(0.584, 0.834, 1)0.820(0.25, 0.416, 0.666)0.430(0, 0.166, 0.416)0.180
(0.584, 0.834, 1)0.820(0.25, 0.416, 0.666)0.430(0.584, 0.834, 1)0.820
(0.584, 0.834, 1)0.820(0, 0.166, 0.416)0.180(0.584, 0.834, 1)0.820